# Series Circuit Examples

As a result, since the current has more than one route to take, the circuit can still function if one path fails. Typical examples are mobile phones and tablets with one 3. The circuit depicted at the right is an example of the use of both series and parallel connections within the same circuit. My attempt was that the first "complete" square of core is added in. Series Circuit. Power in R L Series Circuit. In your own words describe the function of Kirchhoff’s Voltage Law. Fill in the chart below. Your circuit should be similar to the circuit diagram in Figure 3. If there are two identical components, then each will receive half the power. •R1 and R2 are in parallel and R3 is in series with R1 ǁ R2. Navigation. The following examples illustrate the use of Matlab for solving problems related to RC circuits. You can calculate the resistance for the circuit, or a portion of the circuit, by determining which resistors are in series and which are in parallel. As a result, the bandwidth of each design is about the. Now the resistors R6 and R7 are in series combination. The equivalent. In this episode of Indiana Expeditions electric energy is investigated from power plants, wind turbines, electric cars and the “grid” that keeps the flow moving. When resistors are connected in series ,the resistor values add because each resistor offers opposition to the current in the direction proportion to its resistance. DATA: V b = 12 V, C = 10 mF, R = 20 W a. Generally, the total resistance in a circuit like this is found by reducing the different series and parallel combinations step-by-step to end up with a single equivalent resistance for the circuit. In particular, these circuits do not contain dependent sources. Series and Parallel Circuits Date: 10/18/2000 at 19:44:15 From: Craig Kirsch Subject: Current in parallel and series circuits I need the formulas for calculating current in a series-parallel circuit. Either (1) Reduce X L by decreasing L or (2) Cancel X. If you were wondering, the other basic type of circuit is an electronic circuit, which processes and transmits information (they’re used in computers, TVs, cell phones, etc). The electrical charge leaves the positive terminal of the power supply, passes through each resistor or other. This is the electronics questions and answers section on "Series Circuits" with explanation for various interview, competitive examination and entrance test. An RLC series circuit has a 40. Plot the voltage across the capacitor if R equals 5k ohm, 10k ohms and 20k ohms. Z is the total opposition offered to the flow of alternating current by an RL Series circuit and is called impedance of the circuit. In this article, we will go over how inductors add in series and how they add in parallel. P517/617 Lec4, P1 R-L-C Circuits and Resonant Circuits Consider the following RLC series circuit •What's VR?Simplest way to solve for V is to use voltage divider equation in complex notation. Experiment 10 ~ RLC Series circuit Resonance in an RLC Series Circuit Objective: To experimentally determine the resonance frequency in a series RLC circuit and compare this to the expected resonance value. 5kΩ, α = β 2/(1+β2), g m= β2/r , re = α/g , r02 = ∞, rx =0. Alternating-Current Circuits 12. Taking the phase of the emf as a reference, find the complex and rms values of (a) the current in the circuit, and (b) the potential difference across each element. If the circuit is broken at any point there won’t be any current that will flow. The single-cell configuration is the simplest battery pack; the cell does not need matching and the protection circuit on a small Li-ion cell can be kept simple. Solved examples with detailed answer description, explanation are given and it would be easy to understand. 003S,andr01 = ∞. In both parts explicitly show how you follow the steps in the Problem-Solving Strategies for Series and Parallel Resistors. I'm getting confused on how to setup the following differential equation problem: You have a series circuit with a capacitor of $0. We need to calculate R1 ǁ R2 first before adding R3. The circuit is connected to a 10 V DC power supply. The parallel circuit has very different characteristics than a series circuit. Multiplying Eq. Electric circuits consist of closed loops of electric current. If one needs to tune this circuit to a frequency of 84 kHz, and the capacitor has a capacitance C = 3. To make things more interesting, let’s add another resistor to the mix. Circuits with series and parallel components. The series- parallel combination of R1 and R4 and R6 is in series with the series- parallel combination of R2, R3, R5, as indicated in Figure 4- 4 (b). Ohm's Law in Series-Parallel Circuits - Voltage The voltage drop across a series-parallel circuits also occur the same way as in series and parallel circuits. It is given by the equation. 333 volts, we know that the voltage across the parallel pair of resistors is going to be 6. Without the series leg of the circuit you could not control the light in the room. For example, in the circuit of Figure 1, R 1 and R 2 are connected in series because no other component or branch is connected to the junction of R 1 and R 2. However, if solving other parts of a circuits confirms that the current of the other element/branch is zero, the voltage division rule can be still. 0 Ω resistor, a 3. The processor in a PC contains literally billions of circuits. not necessarily 2 A, depending on internal battery resistance d. Bolton - 2012) Series and Parallel Circuits 10. If the temperature inside the freezer or refrigerator gets too hot, the temperature control switch will turn the compressor on until the temperature drops. For example, the voltage division rule cannot be used in the following circuit directly. The output of an ac generator connected to an RLC series combination has a frequency of 200 Hz and an amplitude of 0. ( Um, hope I got that right!) The foil and power source are fairly weak so they can only power a small bulb. Current = = = ⋯ = In a series circuit, the current is the same for all of the elements. So, the voltage drop across the capacitors is also unequal. the voltage. This takes them step by step through the parallel and series circuits for current and voltage. Kirchoff's voltage law transformed. In other words, the series rating was evaluated by the certifying organization prior to the original installation of the equipment. To understand how a battery creates a current in a circuit. On this page, an the Fourier Series is applied to a real world problem: determining the solution for an electric circuit. Example: Calculate the time constant, max. Examples include some types of Christmas or holiday lights. Unlike wiring batteries in series when batteries are wired in parallel the voltage does not increase, the output voltage is the average voltage of all batteries in the circuit. That's pretty much the definition of a series circuit. ELT‐111 CIRCUIT ANALYSIS I Series/Parallel Sample Test 1. What would happen if they were wired in series?. A string of Christmas lights is a good example of a series circuit: if one goes out, they all do. Here are two problems for you to try to see if you understand what you've learned: Calculate the resistance, current (I), voltage drop (ΔV), and power drop (ΔP) for each resistor and then for the circuit as a whole in each of the following problems: Problem 1 Problem 2 < 0), thus circuit is inductive. ESE 271 / Spring 2013 / Lecture 23 Example 1. more than 2 A Series Circuits Assessment Questions. In this case, there is just one path for the current to follow. More often than not, this type of circuit is used with Christmas lights. Physics 215 - Experiment 11 Series and Parallel Circuits 44 + V - 2 The third type of circuit you will construct is a ccombination circuit (Fig. Welearnedthatwecanusei-v characteristicsequations. The two resistances are connected in series. LAWS OF PHYSICS: Parallel circuits are “current dividers” and overall resistance reducers, but each speaker receives the same audio output voltage power from the amplifier. For the domestic purpose, a parallel connection is used with constant voltage (230 V). For example, the voltage division rule cannot be used in the following circuit directly. It consists not only of the conductor, but also includes the path through the voltage source. This shaft, which carries a set of " wipers " connected to the incoming circuit, is susceptible of a vertical and a rotational movement, so that the wipers may be brought, first opposite any particular horizontal series of contacts, and then into actual contact with any particular set in the series. Solve for the voltage gain v2/v1, the input resistance RA, and the output resistance RB. The first disadvantage is that, if one component in a series circuit fails, then all the components in the circuit fail because the circuit has been broken. Resistors connected in series or in parallel are very common in a circuit and act as a voltage or current divider. That brings us to Figure 2, below. Experiment with an electronics kit! Build circuits with batteries, resistors, light bulbs, and switches. 2nd: Discuss and compare your points with those of your peers at your table. In the circuit of Example 2, what is the phase angle between the voltage and the current? Solution. If this was a series circuit, you would need to have something hooked up to every outlet and powered ON in order to turn a single device on. If you wanted, you can make a similar circuit with 10 or 20 bulbs. Parallel circuits are a bit trickier, allowing multiple circuits to connect while operating individually as part of a larger circuit. Natural as compared to "forced" response. Z is the total opposition offered to the flow of alternating current by an RL Series circuit and is called impedance of the circuit. There are two types of electrical circuit, parallel circuits and series circuits. 0 mF, what inductance L is needed?. Therefore KVL tells us that the voltage rise across the source must be equal to the voltage drop across R1. If you try to connect them the wrong way, they won't clip together, but they will put reverse polarity on the circuit for a moment which may destroy the circuit, so be sure to connect the battery the right way around the first time. Example \(\PageIndex{1}\): An RLC Series Circuit. Example 3: Resonance A sinusoidal voltage Vt()=(100V)sinωt is applied to a series RLC circuit with L = 20. If there are six resistors in series (n=6),the total resistance formula will be: Rt=R1+R2+R3+R4+R5+R6. the voltage. The first disadvantage is that, if one component in a series circuit fails, then all the components in the circuit fail because the circuit has been broken. Generally, the total resistance in a circuit like this is found by reducing the different series and parallel combinations step-by-step to end up with a single equivalent resistance for the circuit. ELT‐111 CIRCUIT ANALYSIS I Series/Parallel Sample Test 1. Ohm's Law in Series-Parallel Circuits - Voltage The voltage drop across a series-parallel circuits also occur the same way as in series and parallel circuits. Resistors in series and parallel Example. By using simple Calculations we can find the total Resistance and Capacitance Value in circuit. Rt=R1+R2+R3. To fix this problem, you can add a small resistance in series between the voltage source and the capacitors. To make things more interesting, let’s add another resistor to the mix. A series RC circuit with R = 5 W and C = 0. Examples: 1)A bipolar junction transistor can be a dependent current source whose magnitude depends on the magnitude of the current fed into its controlling base terminal. There are two basic ways to connect electrical devices like bulbs in a circuit. The clipper circuits are of the following types. The current that goes through the first bulb also goest through the second bulb. , an inductor behaves like a short circuit in DC conditions as one would expect from a highly conducting coil. The difference with using the software is the student get feedback immediately if they didn't get it right. Determining the total current and the current for each specific resistor in a series circuit Determining the equivalent resistance and the resistance of specific resistors in a series circuit Determining the total power and the power of specific resistors in a series circuit Ohm’s Law Problems for Parallel Circuits. series circuit definition: 1. Series Circuits The Voltage Divider Circuit The voltage divider circuit is a series circuit with two resistors E s R 1 R 2 V out Design Formula out ⎜ E s R R R V ⎟⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + = 1 2 2 Voltage across resistor, R 2, is considered the output of the circuit. About all real circuits are complicated combinations of series and parallel circuits, sometimes hundreds of each. For example, if the series circuit contains multiple resistors, inductors, and capacitors, each of these can be combined to result in a circuit that contains one equivalent resistor, one equivalent inductor, and one equivalent capacitor. These two light bulbs are arranged in series, so they have to share the battery’s power. For one, the total resistance of a Parallel Circuit is NOT equal to the sum of the resistors (like in a series circuit). 38 k For example, the resistors in a series circuit are 680 , 1. I think I'm missing part of the formula. Phase Angle. In a series connection, electricity flows through each electrical device. Series Circuits Example: A 120 V dc source is series connected to a 50 kΩand a 100 kΩresistor. worksheet series circuit problems episode 903 answer key PDF may not make exciting reading, but worksheet series circuit problems episode 903 answer key is packed with valuable instructions, information and warnings. In the following series circuit examples, a 1 Ω resistor (R 1) is placed in series with the inductor and capacitor to limit total current at resonance. (a)Let i= 0. We will go over the mathematical formulas for calculating series and parallel inductance so that we can compute the total inductance values of actual circuits. The comparator circuit in Fig. When electrical components (parts) are connected in series, they share the power of the battery. Resistors in Series and Parallel Example No2 Find the equivalent resistance, R EQ for the following resistor combination circuit. Current = = = ⋯ = In a series circuit, the current is the same for all of the elements. Collection of TINA circuit files. Series and Parallel circuits- examples (page 64) study guide by grace1389 includes 12 questions covering vocabulary, terms and more. Consider two capacitors connected in parallel : i. The circuit is now reconnected, so that the 8-Ω resistor is now connected across the 4-Ω resistor. We must take into account that in a parallel circuit, the voltage is the same across all elements, in contrast to a series circuit, where the same current flows through all elements. [6] 2017/11/13 08:53 Male / 30 years old level / An engineer / Very /. The supply voltage is 5 V. Use Wolfram|Alpha to compute properties of different circuit elements and their combinations, including diodes, filters and other circuits. electric circuit - Series Circuit - A series circuit consists of a single pathway through which electricity can flow. here the resistor R6 is in parallel with the resistors R4 and R5. The circuit behaves as a RL series circuit in which the current lags behind the applied voltage and the. Since this power must come from the source, the total power must be equal to the power consumed by the circuit resistances. Example for Series Capacitor Circuit: Now, in the below example we will show you how to calculate total capacitance and individual rms voltage drop across each capacitor. Find the following quantities: (a) the resonant frequency, (b) the amplitude of the current at the resonant frequency, (c) the quality factorQ of the circuit, and. Be able to determine the responses (both natural and transient) of second order circuits with op amps. Rotate Components To rotate the components right click on the Resistor to flip the component on 90 Clockwise (Ctrl +R) and 90 Counter Clockwise (Ctrl+Shift+R). When a single bulb in the fixture goes the light fixture continues to operate. These laws can be applied on any circuit* (See the limitation of Kirchhoff's Laws at the end of the article), but useful to find the unknown values in complex circuits and networks. Series and Parallel Circuits Date: 10/18/2000 at 19:44:15 From: Craig Kirsch Subject: Current in parallel and series circuits I need the formulas for calculating current in a series-parallel circuit. Typical examples are mobile phones and tablets with one 3. One way to visualize the behavior of the RLC series circuit is with the phasor diagram shown in the illustration above. In other words there's more than one route you can take to get from one terminal of the battery to the other. Capacitors are used in DC circuits to provide "bursts of energy. Solve for the voltage gain v2/v1, the input resistance RA, and the output resistance RB. In symbols: V S = V 1. P517/617 Lec4, P1 R-L-C Circuits and Resonant Circuits Consider the following RLC series circuit •What's VR?Simplest way to solve for V is to use voltage divider equation in complex notation. This is the electronics questions and answers section on "Series Circuits" with explanation for various interview, competitive examination and entrance test. Capacitors are used in DC circuits to provide "bursts of energy. (See the figure. Set the voltage to 10. com • Series-Parallel DC Circuits Analysis • Power Calculations in a Series/Parallel Circuit • Effects of a Rheostat in a Series-Parallel Circuit Knowledge Check 1. Determine if everyday objects are conductors or insulators, and take measurements with an ammeter and voltmeter. The supply voltage is 5 V. This causes the bulb to light, the solenoid to be activated and the motor’s spindle to rotate. Resistors in Series. Experiment 10 ~ RLC Series circuit Resonance in an RLC Series Circuit Objective: To experimentally determine the resonance frequency in a series RLC circuit and compare this to the expected resonance value. As a result, since the current has more than one route to take, the circuit can still function if one path fails. So for example, in the case of DC, the circuits can also be divided into three groups, such as series DC circuit, parallel DC circuit and series and parallel circuit. 3, which consists of a resistor, inductor, and capacitor connected in series across the terminals of a sinusoidal voltage source. From the way that the battery is connected, we can tell in which direction the current will flow. The following image shows the circuit diagram of the LEDs in Series. ) What is the curnent through the resistor just BEFORE the switch is thrown?. It consists of resistors combined in both parallel and series configurations. Now the resistors R6 and R7 are in series combination. After students have constructed circuit A and B, I provide students with the name of each type of circuit (series and parallel respectively). Kirchoff's voltage law transformed. This is the electronics questions and answers section on "Series Circuits" with explanation for various interview, competitive examination and entrance test. 4: Application Examples (7. Series circuits (fig. Figure 20 Voltage Total in a Series Circuit To find the total voltage across a series circuit, multiply the current by the total resistance as shown in equation (2-5). For example, the voltage division rule cannot be used in the following circuit directly. series circuit definition: 1. Resistors connected in series or in parallel are very common in a circuit and act as a voltage or current divider. The student will measure the circuit current, the voltages. In this episode of Indiana Expeditions electric energy is investigated from power plants, wind turbines, electric cars and the “grid” that keeps the flow moving. The values of R and Z are readily available and are the best choice. The circuit below has been in position a for a long time. Record in Table 5-3. To recap: Electrical current, \(I\), is defined as the rate of flow of charge through a circuit. The RC Circuit Circuits containing both resistors and capacitors have many useful applications. Quizlet flashcards, activities and games help you improve your grades. Here I simply use the result from the previous example. To understand energy transfer and power dissipation and circuits. Remember that in a series circuit: the current in every part of the circuit (is the same, adds up). When the switch is closed so that the light is on, electric current flows from the. 0 Ω resistor, a 3. docx Page 13 of 25 2016-01-07 8:48:00 PM Configuration II. A series R-C circuit. A series circuit is basically a circuit that contains just one single path for a power source to go through, which means that the circuit current has to flow throughout the entire load for everything to work as it should. The reader can run the examples without having to enter the commands. Given an intensifier with the following dimensions, calculate the output pressure given an input pressure of 80psi. Inductors in Series and in Parallel. Note that the voltage is not necessary for the RC circuit time constant calculation. Lessons / Lecture. Let’s take a look at some examples of series circuits that demonstrate these principles. Here I simply use the result from the previous example. 11 Difference between Series and Parallel Circuit Explained with Examples September 22, 2019 September 19, 2019 by Dipali Chaudhari Based on the design of electrical circuits, they are categorized into two forms- a series circuit or parallel circuit. On this page, an the Fourier Series is applied to a real world problem: determining the solution for an electric circuit. Electricity is the flow of electric charge (electrons). In this example, We have two components R and L connected in Series and a voltage source to those components as shown below. The image to the right shows an example: To wire a series circuit like the one shown, the positive output from the driver connects to the positive of the first LED and from that LED a connection is made from the negative to the positive of the second LED and so on, until the last LED in the circuit. Course Web Pages. In other words, the series rating was evaluated by the certifying organization prior to the original installation of the equipment. A thermostat controls a switch that is in series with the compressor to control the temperature of the refrigerator. Students work in teams to predict the. The following examples illustrate the use of Matlab for solving problems related to RC circuits. Series components form a series. How do you calculate the total resistance of a series circuit? The Effective Resistance of Resistors Connected in Series There are three important characteristics in a series circuit: (a) The current passing through each resistor is the same. permitted only those series ratings that were marked on the end use equipment. Here is an example of a. In particular, if a coil rotates in the presence of a magnetic field, the induced emf varies sinusoidally with time and leads to an alternating current (AC), and provides a source of AC. For series circuits, the voltage drop is split between the components (lights, for example) depending on their resistances. A string of Christmas lights is a good example of a series circuit: if one goes out, they all do. Professor of Automotive Technology Skyline College. VT =IRT (2-5) where VT = total voltage I = current RT = total resistance Example 1: A series circuit has a 50Ω,a75Ω, and a 100Ωresistor in series (Figure 21). The light above you is powered by a parallel circuit that is also wired in series through the light switch on the wall. 275 vrms across the capacitor. I'm getting confused on how to setup the following differential equation problem: You have a series circuit with a capacitor of $0. 2W Mechanical Analogy Slide 14. Particularly, we will look at the circuit shown in Figure 1: Figure 1. Welearnedthatwecanusei-v characteristicsequations. A series-parallel magnetic circuit with its pertinent dimensions in centimeters is given in Figure 2. So, the voltage drop across the capacitors is also unequal. RC and RL Circuits Rules to remember •ELI the ICE man: Voltage (E) leads Current (I) in an Inductive (L) circuit , whereas Current (I) leads Voltage (E) in a Capacitive (C) circuit –This is only true for SERIES circuits. A resistor having an electrical resistance value of 100 ohms, is connected to another resistor with a resistance value of 200 ohms. The supply voltage is 5 V. The questions cover fundamental properties of current, voltage, and the properties of batteries, wires, and resistors. Three resistors that are rated at 5 , 2 and 1 are connected in series to a battery. The same elements are used as the Detailed Simple Circuit Example, with the addition of one 9 V battery as shown. ( Um, hope I got that right!) The foil and power source are fairly weak so they can only power a small bulb. The red lines in photo below show how the breadboard is connected internally. A circuit breaker in series before the parallel branches can prevent overloads by automatically opening the circuit. 3 Circuit Solution By Assumed Diode States Analyze the circuit illustrated in Figure 3. The circuit (right and left) is another example of a series circuit. Power in RLC Series Circuit. 0 kHz, noting that these frequencies and the values for L and C are the same as in Example 1 and Example 2 from Reactance, Inductive, and Capacitive. The transient response is derived from differential equations and it describes how energy that is contained in a circuit will dissipate out when no input signal is applied. Example: Analysis of Series-Parallel Circuits Combining R 2 and R 3 in parallel Circuit reduces to a series circuit Use Voltage Divider Rule to determine V ab and V bc. A thermostat controls a switch that is in series with the compressor to control the temperature of the refrigerator. circuit given in example 1 is part ly due to the saturation state of the phototransistor, and to a large extent, to the higher value required for RL. 0 Hz and 10. Thevenin’s Equivalent Circuit Example: The Bridge Circuit The Thevenin theorem states that any real source may be represented as an ideal potential source in series with a resistor. The circuit containing the compressor and the circuit containing the lighting circuit are in parallel, but there is a switch in series with the light. Series and parallel circuits, venn diagram 1. Freezers and refrigerators both use series circuits. The circuit components of simple circuits are con- nected in series and/or parallel arrangements. circuit than it is in a series circuit?. In your own words describe the function of Kirchhoff’s Current Law. This article describes about Series Resistor, Parallel Resistor, and Series Parallel Capacitor connections. Let’s take a look at some examples of parallel circuits that demonstrate these principles. First-order RC circuits can be analyzed using first-order differential equations. Get information on resistors, inductors and capacitors. Taking the phase of the emf as a reference, find the complex and rms values of (a) the current in the circuit, and (b) the potential difference across each element. I have changed the circuit parameters from the diagram shown in class. With parallel LC circuits, the impedance will reach the highest value at resonance. Here is an example of a series circuit. To draw and interpret basic circuit diagrams. we consider is a resistor in series with a capacitor and a battery. It does the same thing as Fig. Series Circuit Definition. the voltage. Given: Solution: Media Resources Wisc-Online. As a result, the bandwidth of each design is about the. Magnetic Circuits in Series and in Parallel. A series RLC circuit containing a resistance of 12Ω, an inductance of 0. Typical examples would be a capacitor to jump start a motor or a capacitor used to operate a camera's flash. This is because there is only one path for electrons to flow in a series circuit. To develop and use a conceptual model of simple DC circuits. These tools allow students, hobbyists, and professional engineers to design and analyze analog and digital systems before ever building a prototype. When R2 is constricted, the pressure at R1 increases and the pressure at R3 decreases. If you try to connect them the wrong way, they won't clip together, but they will put reverse polarity on the circuit for a moment which may destroy the circuit, so be sure to connect the battery the right way around the first time. Learn more. The foil acts as simple conduit from the power source — the battery — to the bulb. Power in a Series Circuit. It can be described as below. RLC Circuits An Example of the Application of Laplace Transforms. 275 vrms across the capacitor. If there are six resistors in series (n=6),the total resistance formula will be: Rt=R1+R2+R3+R4+R5+R6. 00 mH inductor, and a 5. Record in Table 5-3. Total power in a parallel circuit is the sum of the power consumed on the individual branches. Explain how a circuit is formed. Electric circuit, path for transmitting electric current. He was known as the “cruise director” at the AP reading, because he didn’t just talk about how fun it would be to do something active and interesting – he actually made arrangements such that events happened. ForQ2,assume β 2= 100, r π=2. Further, as long as you can follow a path from the red wire of a light back to the positive (+) side of the power supply through red wires and the same through black to the negative (-) side, you have wired in. •R1 and R2 are in parallel and R3 is in series with R1 ǁ R2. 5 this is just equal to the rms supply voltage but for the series RLC circuit it is given by a potential divider rule. Some Examples (Some examples of the MNA method applied to circuits -- both by inspection and algorithmically) Modified Nodal Analysis for Reactive Circuits and Op Amps (Extensions to the MNA method) SCAM - A MATLAB tool for deriving and solving circuit equations symbolically. combination is connected in series with a resistor of 4 Ω, and a voltage of 10 V applied across the circuit. The gray color indicates ground. The light above you is powered by a parallel circuit that is also wired in series through the light switch on the wall. The most familiar example is a string of classic Christmas tree lights, in which the loss of one bulb shuts off the flow of electricity to each bulb further down the line. Determine the resonant frequency of the circuit and the amplitude of the current at resonance. So, the voltage drop across the capacitors is also unequal. are in series. 0 Hz and 10. And the more work you have a series circuit do, the more your current will decrease. 3, which consists of a resistor, inductor, and capacitor connected in series across the terminals of a sinusoidal voltage source. Find (a) the equation for i (you may use the formula rather than DE), (b) the current at t = 0. The circuit is connected to a 10 V DC power supply. Graph 1 of resistance vs current can be found in appendix A. Series and Parallel Circuits In a series circuit electricity has only one path to follow. The Figure at right shows three impedances; two are. Since there is onlyone path for the current totravel, the current through eachof the resistor. When the applet starts up you will see an animated schematic of a simple LRC circuit. Where Rt is the total resistance and Rn is the last resistor in the series string. The equivalent resistance R eq of any number of resistors in series is the sum of the individual resistances. These devices underpin all modern electronics. Students construct an electric circuit in series with a motor and fan (Project #11). Current is the movement of electric charge. None of the junctions in this circuit have a second branch, so all of the components are in series.