# What is Series circuit: Definition and 129 Discussions

Two-terminal components and electrical networks can be connected in series or parallel. The resulting electrical network will have two terminals, and itself can participate in a series or parallel topology. Whether a two-terminal "object" is an electrical component (e.g. a resistor) or an electrical network (e.g. resistors in series) is a matter of perspective. This article will use "component" to refer to a two-terminal "object" that participate in the series/parallel networks.
Components connected in series are connected along a single "electrical path", and each component has the same current through it, equal to the current through the network. The voltage across the network is equal to the sum of the voltages across each component. Components connected in parallel are connected along multiple paths, and each component has the same voltage across it, equal to the voltage across the network. The current through the network is equal to the sum of the currents through each component.
The two preceding statements are equivalent, except for exchanging the role of voltage and current.
A circuit composed solely of components connected in series is known as a series circuit; likewise, one connected completely in parallel is known as a parallel circuit. Many circuits can be analyzed as combination of series and parallel circuits, along with other configurations.
In a series circuit, the current that flows through each of the components is the same, and the voltage across the circuit is the sum of the individual voltage drops across each component. In a parallel circuit, the voltage across each of the components is the same, and the total current is the sum of the currents flowing through each component.Consider a very simple circuit consisting of four light bulbs and a 12-volt automotive battery. If a wire joins the battery to one bulb, to the next bulb, to the next bulb, to the next bulb, then back to the battery in one continuous loop, the bulbs are said to be in series. If each bulb is wired to the battery in a separate loop, the bulbs are said to be in parallel. If the four light bulbs are connected in series, the same current flows through all of them and the voltage drop is 3-volts across each bulb, which may not be sufficient to make them glow. If the light bulbs are connected in parallel, the currents through the light bulbs combine to form the current in the battery, while the voltage drop is 12-volts across each bulb and they all glow.
In a series circuit, every device must function for the circuit to be complete. If one bulb burns out in a series circuit, the entire circuit is broken. In parallel circuits, each light bulb has its own circuit, so all but one light could be burned out, and the last one will still function.

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1. ### Ohm's Law - Finding Source Voltage

TL;DR Summary: Ohms Law Source Voltage DC series Circuit Hello, I'm trying to figure out how to determine source voltage of a DC series circuit. The only information given is Resistor 1 = 12ohm Resistor 2 = 9ohm Resistor 3 = 3ohm And the voltage drop across R1 is 6V. The answer is 12V...
2. ### Power formula for circuit when another resistor is added in

On Chegg they solve for V using P=V^2/R using 36W and R1= 25Ω, which is equal to 30V then they add R1+R2 = 40Ω and they plug in P=V^2/R and solve for P which is 22.5W I'm confused on why they didn't use P=I^2*R cause you know the system is in series so I is the same and solve for I then...
3. ### Current in RLC Series Circuit: Need Help

So am trying to find the current in the RLC series circuit ,but i think i have done something wrong ,if anyone could tell me where i went wrong ,it would be great ,thank you Resistor-100ohms Capacitor-0.01uF Inductor-25mH Voltage Source-50v a.c 1kHz
4. ### Source free RLC series circuit

Hello, this is my working. My professor did not give any answer key, and thus can I check if I approach the question correctly, and also check if my answer is correct at the same time. for t < 0, V(0-) = V(0+) = 60V I(0) = 60 / 50 = 1.2A When t > 0, $$α = \frac{R}{2L}$$ α =...
5. ### What is the power factor in a series circuit?

I calculated in the following and got the correct answer. However, I wonder whether this way is correct or not. Thanks! PR / Pavg = Irms^2 * R / Irms^2*Z = 15 /33.36 = 0.45

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7. ### I LRC Series Circuit with an AC Source

Attached is the section from the book. I am doing section 31.3 We know that an AC source gives a sinusoidal varying current, and as far as I know its always given by ##i(t) = Icos(wt)##. Its like we take the current to be the base of all other quantities, so we use it to derive everything else...
8. ### How to calculate the resistance of a series circuit?

Why we say that the resistance of the series curcuit is equal to the sum of the resistances of the resistors?
9. ### Voltage drops in a series circuit

Known: V source = 30.0 V , R1 = 15.0 W, R2 = 15.0 W, R3 = 15.0 W To determine the current, first find the equivalent resistance. I = Vsource/R and R = RA + RB = Vsource/RA + RB 30.0 V/15.0 W + 15.0 W + 15.0 W = 1.5 A This is as far as I could do the work for this question. I’m having trouble..
10. ### I Difficult Series Battery Problem

Modern batteries use double-sided anode and cathodes for greater energy density. Series wiring of batteries is typically accomplished by connecting the anode of one cell to the cathode of another. However, can series be accomplished by stacking double-sided anode and cathode alternatingly with...
11. ### R_th wrong while applying series and parallel simple theory

Summary:: Trying to find Rth but I do not get the same value as the one from the solution. [moderator: moved from a technical forum. No template.] I am trying to find Rth to solve this problem, however once I simplified it, I get a value of 700.745 Ω while in the solution, the answer is...
12. ### Super Capacitor Series Circuit

I'll make a power bank with capacitors and I made circuit of it. But I'm worrying about whether the circuit is safe, because it's dangerous to use capacitor. So, can you check the circuit i made?? My capacitor is 2.7V, 600F and the power bank circuit has "Charging current : 1A maximum, output...
13. ### Engineering Find the unknown resistance in this series circuit

How i can find r2 value in this circuit? R1 = 2 R3 = 5 E = 20v
14. ### Find the maximum potential difference across a series circuit

I'm not really sure what I need to find exactly. From what I'm seeing, I could give C1 the max potential difference of 125V because it has the lowest capacitance, and because V = Q/C, this means the capacitor with the highest potential difference across its plates will be the one with the lowest...
15. ### Solving Power Delivery Issues in a 5V Series Circuit with a 1.5V Rated Relay

Hello, I'm using a "TQ2SA-1.5V Panasonic 2 Form C AS Single side stable, 1.5VDC 2A DPDT NON-LATCHING SMD Relay" (specifically the coil side of this relay) that is rated for 1.5 volts that is connected in series to this circuit (as the last device in this circuit shown below), which in this...
16. ### Voltage across R, L and C vs AC Voltage source in RLC Series Circuit

One property of series resonance circuit is that at resonance, the voltage across circuit elements R,L and C may be larger than the source voltage. I can relate it to vector analogy where component vectors may have larger values than the resultant and the phenomenon is counter-intuitive. This...
17. ### Does a series circuit have branches?

Does a series circuit have branches? or the term branch can use in series circuit too and there are only one branch in series circuit. please explain.
18. ### LRC Series Circuit Critical Damping

Homework Statement Homework EquationsThe Attempt at a Solution My attempted solution is above and here https://imgur.com/8RmDMf8/ I'm confused as to the answers in the book being i and iii (I just don't see how i is included). If critical damping occurs at the value above, and if you go above...
19. ### Finding the Optimal Combination of Resistors for a Desired Total Resistance

Homework Statement I'm asked to find a combination of resistors (parallel and/or series) that uses resistors of 25 Ω, 100 Ω, 50 Ω, and 50 Ω. They should add up to give a total resistance of 62.5 Ω. Homework Equations Req for parallel = 1/R1 + 1/R2 + ... Req for series = R1 + R2 + ... The...
20. ### Engineering Electrical circuits: when all switches are closed, what is R?

Homework Statement https://pasteboard.co/Hj3g5Km.jpg When both switches 1 and 2 are closed,what is the total resistance of the set up? I couldn't figure out which resistors are connected in parallel and which resistors are actually in series in this set up when both swtiches are closed. I...
21. ### Current Dividing in an Electrical Circuit

A circuit contains a 7.5V d.c power supply and three resistors. The total resistance of the circuit is 30 ohms. Why will the largest current in the 18 ohm resistor? As far as I know is that the smallest current will be in 60 ohm resistor because it has the maximum resistance. Please explain...
22. ### Voltage Variation in a Series Circuit

If I had a simple series circuit with only a single resistor, and I used a voltmeter to find the voltage between a point at the end of the circuit and another point, which was moved from the beginning to the end of the circuit, what would I find at these various point? Would the voltage remain...
23. ### What Does the 10% Resistance Boundary Mean in Circuit Measurements?

Homework Statement if someone could help me with this it would be much appreciated. In physics, I used a 98Ω resistor in a series circuit and measured the current and voltage output from battery, using the current and voltage I calculated the resistance. I=0.0094A V=1 Rt=1/0.0094=106.38Ω even...
24. ### What's the total resistance in this circuit?

Homework Statement https://imgur.com/3H3pCkD R is the resistance of each resistor, determine total resistance in the circuit. (see the image in the link above) Homework Equations R=1/R₁+1/R₂+1/R₃+... (in parralel circuit) R=R₁+R₂+R₃... (in series circuit)The Attempt at a Solution I'm...
25. W

### What is the role of cosφ in calculating power in LRC series circuits?

Homework Statement With just about any problem asking for "rate at which source is delivering electrical energy to the circuit" or "find the power of the circuit" in a LRC circuit, I get that you have to calculate for the average power. But the multiple equations confuse me - sometimes in...
26. S

### Resistors in Series - Lab data confusion

Homework Statement (see my attached photo to better understand where I am coming from!) So after some research, I've discovered that the current at different points in a simple series circuit is supposed to be the same value, and that the voltage is supposed to be different values. I...
27. S

### Resistors in Series - Lab data confusion

Hi guys! (see my attached photo to better understand where I am coming from!) So after some research, I've discovered that the current at different points in a simple series circuit is supposed to be the same value, and that the voltage is supposed to be different values. I performed a lab on...
28. ### Power of resistors in parallel vs series circuit

Homework Statement Two Ohm's resistors in parallel consume power of 76 W and 24 W. What power will each of them consume if transfer them to the serial circuit with the same voltage of source. Sorry for my bad english translations I m not use to writing questions in English.. So what confuses...
29. ### Engineering Figuring Out a General Solution for RLC Series Circuit

So, I have been trying to come up with a general solution for dI/dt in an RLC circuit. I have attached the work I have done so far. I don't know where but I am making a mistake and the waveform is not coming out right. Would really appreciate a look over my work to see if I made any obvious errors.
30. ### Series and Parallel Combination

[Note: Thread has been moved to the homework forums by a mentor] This is the Given problem This is my solution part 1 - What I did here is I series the R3 and R4 (R3 + R4), and I parallel the R34 to R5 (most of the calculation are from the calculator) This is my solution part 2 The...
31. ### Capacitors in a series circuit W/ one dielectric

Problem: When a dielectric slab is inserted between the plates of one of the two identical capacitors in Fig. 25-23, do the following properties of that capacitor increase, decrease, or remain the same: (a) capacitance, (b) charge, (c) potential difference (d) How about the same properties of...
32. ### Is it possible to increase the amps within/along a circuit?

Let's say you have a basic series circuit with a battery power source that has 12 volts. You also have a load of some sort with 3 ohms of resistance. Therefore you'll have 4 amps of current throughout the circuit. Is it possible to add some item within or along the circuit (and before the load)...
33. ### Potential difference of each resistor

Homework Statement What is the potential difference across each resistor? I know that I'll have to incorporate the V=iR equation but I don't know where to start though... My first attempt was with these: R1=4 R2=8 R3=5 R4=6 R5=3 24-I1R1-I1R2-I3R3+I4R4+I5R5=0 but this lead me nowhere so I...
34. ### Solving a Series Circuit with Unequal Resistor Powers

Homework Statement Two resistors of equal rated voltages ##V_n##, and different rated powers ##P_{n1}= 50 W## and ##P_{n2}= 100 W## are connected in series on source of rated voltage. Find total power of a circuit. Homework Equations [/B]##P=\frac{U^2}{R} ##, ## R=R_1+R_2 ##The Attempt at a...
35. ### How the current remains same in series circuit?

I think if current passes through first resistor then there must be some decrease in current and when reaches to next current will not be the same. And also i am not clear on this that when there are different loads in circuit , demanding different current then a device in the middle require...
36. ### Finding ##R_1## & ##R_2## in Series Circuit

Homework Statement Two resistances, ##R_1## and ##R_2##, are connected in series across a 12 V battery. The current increases by 0.2 A when ##R_2## is removed, leaving ##R_1## connected across the battery. However, the current increases by just 0.1 A when ##R_1## is removed, leaving ##R_2##...
37. ### Engineering Analyzing Series and Parallel Circuits: Finding Voltages

Homework Statement Hello, can you help with this problem. For the next circuit, determine the voltages Homework Equations I=V/RT RT=R1+R2+R3+...+Rn P=V^2/R V=V1=V2=V3 I=V/R GT=1/R1+1/R2+1/R3+...+1/Rn The Attempt at a Solution My background is that I only know a very few and I don´t know how to...
38. ### Engineering Current in Series Circuit: 2V, 3V, 5V, 4Ω, 2Ω

Homework Statement Find the current for the next circuit. Consider the values given: V1= 2 V, V2=3V, V3= 5V, R5= 4Ω Y R4= 2Ω Homework Equations RT=R1+R2+R3+Rn I=V/RT P=VI=V^2/R The Attempt at a Solution My attempt of solutions is to sum the first two voltages and divide it between the first...
39. ### Engineering Finding the Transfer function of an RL series circuit

Homework Statement Attached image has full question and information. Determine the transfer function of the circuit. I've done this part, what I am struggling with is converting it into the form requested. R = 10 KΩ L = 10 H Homework Equations Voltage divider: Vo = R2/(R1 + R2) Vin Impedance...
40. ### Solar panels -- connect as parallel circuit or series circuit?

Hey, I have searched in the internet for the good or the negative points for a parallel- or a series circuit with a solar cell. But i didnt find something. I mean what is the difference when i connect many solar cells to a solar panel? What is better? A parallel or an series circuit? I know...
41. ### Setting up an LRC series circuit with coupled coils

Homework Statement I have been trying to set up an LRC series circuit where in place of an inductor we have a pair of coupled coils. My aim is to determine the resonant frequency in the circuit when the voltage across the resistor or the current in the circuit is at a maximum. I am using a...
42. ### LRC Series Circuit Voltage amplitude question.

Homework Statement Hello All, I have a question: In a LRC Series circuit: At what angular frequency is the voltage amplitude across the resistor at a maximum value? At what angular frequency is the voltage amplitude across the inductor at a maximum value? Homework Equations \omega =...
43. ### Can you solve a series circuit problem with 3 resistors and a 24V battery?

1.A circuit consists of 3 resistors connected in series to a 24.0 V battery. The current in the circuit is 32.0 mA. If 2 of the resistors are 250.0  and 150.0 , find the value of the third resistor. find the potential difference across each resistor. 2. R=V/I3. I calculated the third...
44. ### Resonance - rlc series circuit

Homework Statement in series rlc circuit maximum voltage across inductor occurs at which frequency?Homework Equations The Attempt at a Solution In the series rlc circuit current through the inductor is maximum at the resonance frequency. But I don't know whether at resonance frequency maximum...
45. ### MHB RLC Series Circuit: State Equations

Using the capacitor voltage $$v_c(t)$$ and the inductor current $$i_L(t)$$ as states, write the state equations for the RLC series circuit shown in the figure. We can write that $$e(t) = iR + \frac{di}{dt} + \frac{1}{C}\int i(t)dt$$. I am not sure with what it wants when it says to write it...
46. ### Measuring Voltage Across Two Points In A Series Circuit

Homework Statement The series circuit is connected as follows: A 12V Battery -> 8ohm resistor -> 7V Battery -> 4ohm Resistor -> Earth. The problem states that if a voltmeter was connected from a point between the 12V battery & the 8ohm Resistor and connected to a point above the Earth then...
47. ### Reoccurring Error in RLC Series Circuit Problems.

Hi All, In doing some practice RLC series circuit question, I have been obtaining incorrect values for active and reactive power. The magnitudes I obtain are correct however the sign of the value is not. I have attributed this to obtaining an incorrect argument for the absolute power, or...
48. ### Engineering Transient Response RC series circuit

Hi, I have been given a question which involves analysis of a series RC circuit. The system in question has a 4Ω resistor in series with a 1000μF Capacitor (the capacitor is to be considered as completely uncharged before t=0). There is a 12V supply in the circuit. At t=0, a switch is...
49. ### Series Circuit with two batteries

Homework Statement A. Make a prediction about the direction of current flow through each resistor. (6 points) B. What current flows through each resistor? (15 points) C. What is the voltage drop across R2? (4 points)Homework Equations Req=R1+R2+R3The Attempt at a Solution I'm sort of lost as to...
50. ### Resistance in a series circuit

Say I have two light bulbs, Bulb A is designed for a 120v system (a larger resistance built in) and bulb B is designed for a 3v flashlight (a smaller resistance built in). Assuming I can hook the bulbs up to a 120v series circuit without blowing out the bulbs, it seems counter intuitive that...