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. F

    Finding Impedance of RC Series Circuit - Value of R & C

    Given that: It=3<110°A Vt=120<40°V and ω=314.2rad/sec Find the impedance of the series ciruit elements in rectangular form and state the type and value of the respective elements. I have found the impedance and know that it is a RC circuit as current 110° is leading voltage 40°. How do...
  2. G

    Determining resistance of a series resistor in a simple series circuit

    Background: I learned electronic theory 10 years ago from the Army, and have since worked in the electronics industry as a technician, for about the past 9 years. I'm working towards a BSEET (my interest lies in application, not research) and am required to take a few algebra based physics...
  3. M

    What is the Phase Angle in a Series L-C Circuit?

    Homework Statement You have a 0.400H inductor and a 6 micro-Farad capacitor. Suppose you take the inductor and capacitor and make a series circuit with a voltage source that has a voltage amplitude of 30.0V and an angular frequency of 250 rad/s. What is the phase angle (phi) of the source...
  4. Q

    Calculating the value of R for a resistor in an RLC series circuit

    1. An RLC series circuit has C= 4.8mF, L=0.520H, and source voltage amplitude V= 56.0V. The source is operated at the resonance frequency of the circuit. If the voltage across the capacitor has amplitude 80.0V, what is the vaule of R for the resistor? 2. ##I = (ΔVc)/(Xc)##, ##Xc=...
  5. J

    V, I, R in series circuit confusion

    I'm doing coursework on a circuit experiment we performed in class. I'm pretty sure the results are wrong or flawed, but we were testing the effect of increasing the length of wire on the resistance. I had a voltmeter about the wire, a cell, an ammeter, and completed the circuit by attaching the...
  6. Drakkith

    Voltage Drop in a Series Circuit with 100V & 2 50 Ohm Resistors

    Ok, let's say you have a 100v voltage supply and two 50 Ohm resistors in a series circuit. The total resistance is 100 Ohms, leading to a current of 1 amp. Now my question is, what exactly is voltage drop? I know the voltage drop across each resistor is 50 volts. If we were to look at one of...
  7. D

    In a series circuit with 3 bulbs, does the voltage decrease?

    In a series circuit with 3 bulbs, does the voltage across each bulb decrease? I know the current is the same at all points in the circuit. My book says that the brightness of the bulbs are all equal. Is this true? My idea is that the brightness will not be the same because of the resistance of...
  8. A

    Engineering Determine the value of capacitor for an A.C Series Circuit?

    Determine the value of capacitor to make sure that the current and voltage are in phase. The diagram is a simple series circuit with; Voltage Source = 30cos(377t+30°)v then a resistor R = 10 Ω then an inductor = 5mH then capacitor C = ? I'm not sure how to start this as the EMF has confused...
  9. P

    Engineering Capacitor transient charging equation of an RC series circuit

    Homework Statement I would like to derive the equation Vc=Vss+(Vi-Vss)*e^(-t/RC) Vss is the steady state voltage Vi is the initial capacitor voltage Vc is the capacitor voltage The Attempt at a Solution I tried to find solution using laplace transform. E=iR+1/c∫idt. Taking laplace...
  10. EVriderDK

    Engineering RLC series circuit: Determine C so that P.F.=X

    Hey. If a a circuit is too inductive, and has a power factor of 0.6, how would i find a capacitor in series or parallel that would give a power factor of 0.8? I think that i could do it with 3 equations and 3 unkowns like this: 1: Q=XL*I^2 Z=X*I^2 2: tan(P/Q)=\varphi tan(P/Z)=Y 3...
  11. N

    Voltage and current in a series circuit

    Consider the circuit in the attachment I know that the current is the same in a series circuit and voltage is divided at the 3 resistors. And resistance is added. R = R1 + R2 + R3 = 100 + 200 + 300 = 600 Ω. V = IR, 12 = I * 600, I = 0.02 amps = current flowing through the circuit. V1...
  12. B

    A Parallel AND a Series circuit

    I have a boat that runs a 12v domestic system to power things like lights while I am away from the shore-power. I want to know if I can use three batteries to give me 12v and 24v at the same time. Allow me to walk through my thoughts; If I connect battery A & B together in parallel, I get...
  13. S

    Engineering Second order series circuit initial voltage

    Homework Statement How to find the initial capacitor voltage if the capacitor is in series with a 1.5 ohm resistor, these 2 are in parallel with a reversed polarity 6v DC source, (reversed polarity - the negative terminal is pointing up) i assume the voltage across the resistor and capacitor...
  14. M

    Series Circuit: How Do Components Balance Power?

    How in a series circuit do the components know how much of the "electricity" to use? How does this happen? Why doesn't the first lamp in a series use all the volts? How does it know if there are any other lamps in the circuit? Any help would be greatly appreciated. :)
  15. M

    Adding a wrench to a series circuit ?

    If someone could also clarify how to go about this one. Does the wrench added make it a parallel circuit? I found the voltage of the initial circuit by simply doing V = IR = (3)(10) = 30 V. The current flowing through the 4 ohm resistor must be the same as before... so the current for...
  16. P

    Engineering Solving Series Circuit with 10Ω Resistor, Coil and Capacitor

    Homework Statement A series circuit consisting of a 10 ohm resistor, a coil and an ideal capacitor is connected across a 200 V, 60 Hz power supply. The current drawn is 8 A. The voltage across the coil is 120 V and its power factor is 0.8 lagging. Determine (a) the voltage across the...
  17. R

    Engineering Calculate RLC Circuit Values: R1, R2, and Xl | Step-by-Step Guide

    Homework Statement An RLC circuits consists of R1 a 10-ohm resistor, R2 a resistor that takes 50 W, C1 a capacitor with 5-ohm reactance, and L1 an inductor that takes 100 var. Find the value of R1, R2, and Xl (inductive reactance).Homework Equations P = (I^2)R Xc = 1/(2∏fC) Xl = 2∏fL Z =...
  18. K

    Two capacitors (different capacitance and innitial charge) in a series circuit

    Homework Statement Two capacitors C1 and C2 and a resistor R are all connected in series. At t=0, a charge Q1 resides on C1 and a charge Q2 on C2 (Q1 > Q2; C1 < C2), and the positive plate on C2 is connected to the negative plate on C1. a) In a first experiment, the positive plate on C2 is...
  19. C

    Constant Current in a series circuit

    Homework Statement I have learned that current is constant throughout a series circuit, with or without resistors. Even if the no. of resistors in the circuit increases, the current is the same through each resistor. Resistors resist current flow, even though the current flowing through any...
  20. M

    Series Circuit Resistor Help: Solutions for Q1 and Q2

    Homework Statement Here are pictures of the questions: Q1: http://i.imgur.com/3s9Ma.jpg Q2: http://i.imgur.com/0YChq.jpg The Attempt at a Solution Q1: As you can see, I have put down 1V above the 5V and 6V to the left. Is this right? Q2: I have no idea what I've done.
  21. R

    Resistor values for a series circuit

    Suppose we have a bulb or a forward-biased LED (or any other component) which needs no more than say 3 V across it to operate. And we want to connect it in series with a voltage source of say 12 V, and a resistor. So without this resistor, the LED would quickly burn out and be destroyed. I've...
  22. C

    Series circuit answers correct?

    Homework Statement 3 batteries: Vt= 40v+20v+10v = 70v R1= unknown R2= Unknown R3= 10 ohm I= unkown The ones which I am looking for are: I3=___ I1=___ V1= ___ R1=___ R2=___ Homework Equations V=IR I=V/R R=V/I The Attempt at a Solution I3= 7a I1= 7a...
  23. D

    Engineering Find RLC Values in RLC Series Circuit

    Guys, Let's suppose we have RLC series circuit feeded by tension source initially with no energy stored. When we apply an unitary step of tension at t=0 at the terminals of the circuit, we observe a current of i(t)=(125/24) * exp(-700t)* Sin(2400t) mA that goes around the circuit for...
  24. Z

    Why is the current the same in a series circuit?

    Hey guys, So in class I learned that the current has to have a constant value in a series circuit. We later went on to learn that if the current were not the same, charges would clog up in certain parts of the circuit. I'm having trouble understanding this. I've been scouring the internet for a...
  25. D

    AC Power RC series circuit low pass filter, find frequency given gain.

    1. You have a series circuit consisting of a ac power supply, a 600 ohm resistor and a 73 nF capacitor. If the circuit is configured as a low pass filter, what frequency will cause the gain to be 0.25? 2. If the circuit is configured as a high pass filter, what frequency will cause the gain...
  26. S

    Calculating Average Power LCR series circuit

    Hi, Im trying to calculate the Q-factor of a series LCR circuit. I am struggling at how to calculate the average power. I want to find it using this formula: What is the RMS voltage in the formula for - is it across the resistor, or what? Any help is appreciated thanks.
  27. D

    Quick question. Bulbs in series circuit

    Hello! So i have a series circuit, say just 1.5v and i already have a bulb glowing. Let's say i add a bulb of similar resistance. I know the current will decrease because the overall resistance of of the circuit increases. But do the bulbs both shine as bright as they did before? Or less...
  28. E

    Voltage drop in a series circuit

    I am trying to help a student understand the concept of voltage drop but I'm not sure I fully grasp the concept myself. From Conceptual Physics 9th edition "The total voltage impressed across a series circuit divides among the individual electrical devices in the circuit so that the sum of...
  29. D

    Why Does the Electron Stay at the Same Speed in a Series Circuit?

    Hello everyone I have question on very basic physics: I'm thinking about simple analogies to explain current flowing in a simple series circuit. One analogy I have looked at has a bread factory making bread and loading it onto a truck. Each time a truck passes the bread factory it takes...
  30. S

    Why Does the Current Halve at This Frequency in an AC Series Circuit?

    Homework Statement A series circuit contains only a resistor and an inductor. The voltage V of the generator is fixed. If R = 12 ohms and L = 4.5 mH, find the frequency at which the current is one-half its value at zero frequency. Note: The ac current and voltage are rms values and power is...
  31. T

    Changing values of R in a RLC series circuit

    Homework Statement A television channel is assigned the frequency range from 54 MHz to 60 MHz. A series RLC tuning circuit in a TV receiver resonates in the middle of this frequency range. The circuit uses a 16 pF capacitor. Inductor is .487 micro Henries. In order to function properly, the...
  32. K

    Help understanding current through series circuit

    This isn't a specific homework question, it's just something I'm having trouble understanding or visualising. Take this L.E.D. circuit for example, which works according to our textbook: The current flows from the - to the +, so clockwise in this circuit. To me, it looks like the current...
  33. L

    Resonance in RLC series circuit

    -Is the RCL circuit in resonant? Explain -Given that C is equal to 2X10-3F, find inductance, L. problems: -Is fo equal to 1...because the maximum value in the graph at t=1? -from the graph,how to know that the graph is resonant or not?...can i say that because the current and the voltage...
  34. M

    How to find value of inductance in LR series circuit?

    Hi. This is a question from my lab. I have a series of measurements of the voltage drop across a resistor for various frequencies with a constant voltage source in an LR series circuit. From these measurements I am supposed to calculate the value of the inductance "L". How can I do this?
  35. M

    Equivalent Resistance in series circuit

    Homework Statement Three resistors with values of 7.0 Omega, 12 Omega, and 16 Omega are connected in series in a circuit with a 9.0 V battery. a) What is the total equivalent resistance? b) What is the current in each resistor? c) At what rate is energy delivered to the 16 Omega resistor...
  36. A

    Series Circuit DIfferential Equation - My answer is coming out to be wrong

    Series Circuit DIfferential Equation - My answer is coming out to be wrong... Homework Statement A 6.5 amp current is necessary in order to start the motor for a certain factory appliance. The circuit for the appliance is designed with a 2 ohm resistor and a 1.5 henry inductor. If there...
  37. M

    Solve Series Circuit: 10V Current Calculations

    Homework Statement RESOLVEDRESOLVEDRESOLVEDRESOLVEDRESOLVEDRESOLVEDRESOLVEDRESOLVED the fact that the source voltage is 10 V is given, and i need to find the current through this voltage. Homework Equations Ldi/dt + IR = v0coswt w = omega but i don't know how to do the special symbolsThe...
  38. L

    How Does Current Flow Differ in Parallel vs Series Light Bulb Circuits?

    Homework Statement If you were to make a circuit with two 150-Watt light bulbs in parallel -- how much current would flow through each bulb? Compare that to the amount of current which would flow through the bulbs if they were connected in series. Which way would create more light...
  39. fluidistic

    Impedance of an RLC series circuit when in resonance

    I don't find my notes right now, I'll try to use my memory on this. According to my notes, the impedance of an RLC series circuit is given by \frac{1}{\sqrt{R^2+\left ( \omega L-\frac{1}{\omega C}\right )^2 }}. So when in resonance, Z=\frac{1}{R} instead of Z=R. Also if I recall well, for...
  40. A

    How to make a series circuit using ?

    how to make a series circuit using a battery, a bulb and a switch? would it be a battery sign on the top, then on the left hand side a bulb then on the bottom a switch?
  41. M

    Engineering Calculating the Effect of an Electrical Short or Open on a Series Circuit

    Homework Statement I have several problems in which I am to solve for all variables in a series circuit. Then I am given a follow-up question in which a resistor, or multiple resistors, short out or open. I am then required to calculate the variables in the altered circuit. Homework...
  42. S

    Analysis of an L-R-C Series Circuit

    Homework Statement An L-R-C series circuit is constructed using a 175{ \Omega} resistor, a 12.5uF capacitor, and an 8.00 mH} inductor, all connected across an ac source having a variable frequency and a voltage amplitude of 25.0V At the angular frequency in part A, find the potential...
  43. S

    Solving a Series Circuit with Ohm's Law

    Homework Statement A 60W lamp is placed in series with a resistor and a 120V source. If the voltage across the lamp is 25V, what is the resitance R of the resistor? Homework Equations I derived R= V2/P from ohm's law to solve this problem. The Attempt at a Solution R= V2/P...
  44. J

    Finding Current in a series circuit

    Homework Statement An ideal voltmeter is connected to a 2.0 Omega resistor and a battery with emf 5.0V and internal resistance 0.5 Omega Series Circuit Homework Equations V=IR V=I(R1+R2) R(total)=R1+R2The Attempt at a Solution 5.0V=I(.5 Ohms + 2.0 Ohms) solve for I because...
  45. I

    Troubleshooting LC Series Circuits: Understanding Resonance and Reactance

    I built a LC series circuit and am getting no results from it. I placed an inductor first, in series with a polarized capacitor, with the negative connection facing towards the inductor. What am I doing wrong with this circuit?
  46. C

    Very simple series circuit question

    Homework Statement http://img2.imageshack.us/img2/6536/physics1.png Homework Equations I = V/R, R = R1+R2+R3+... The Attempt at a Solution 2R+R=3R V/3R this is an SAT II physics practice question, i just want to grasp this concept so I am asking for an explanation, i.e. why this is a...
  47. B

    Calculating Peak Current in an LRC Series Circuit

    Homework Statement An LRC series circuit with R = 200!, L = 32mH, and C = 2.5μF is powered by an ac voltage source of peak voltageV0 = 200V and frequency f = 770Hz. Determine the peak current that flows in this circuit. Homework Equations V= IR -L dI/dT +Q/C = 0 w = 2 pi f...
  48. F

    Why is the current constant in a series circuit?

    I know that in a series circuit the current is the same amperage though out the circuit. What does not make sense to me though, is why it should be that way. For example, if one had a series circuit with just resistors in it, it seems that the resistors would each change the flow of the current...
  49. R

    Very difficult series circuit question

    Homework Statement so basically there is a total of 2008 identical resistors and 2009 identical charged spheres. The spheres have a total charge of Q. I’m trying to find out what the radius of one of these spheres is.Homework Equations integral (E dot A) = (sum of all q's)/(Eo) The Attempt...
  50. T

    Finding Voltage and Resistance in a Series Circuit

    Homework Statement I need to find the VOLTAGE at the end of a series of resistors, where the initial voltage is 15V Homework Equations R = R1+R2+R3 I = V/R The Attempt at a Solution Total resistance = 100.05Kohm (R1+R2+R3) I @ Va = 15/100.05 = 14.9mA Now I don't know how to...
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