What is Parallel circuit: Definition and 109 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.
If i have the R and C circuit in parallel,
the battery voltage is completely applied to the capacitor of 10uF since it is in parallel, but as per the capacitor behavior it shall charge slowly. So which is correct? I mean is it wrong connection?
So my idea was to separate the capacitor into two individual ones, one of length ##l - a## filled with a vacuum and one of length ##a## filled with the glass tube. The capacitances then are
$$
C_0 = \frac{2 \pi \varepsilon_0 (l-a)}{\displaystyle \ln\left( \frac{r_2}{r_1} \right)}
$$
for the...
i have this question and i just want to make sure i am on the right track as i know there are quite a few steps to this to get to the final soultions
i need to find Current at r1
voltage at r1
current at r2
voltage at r2
i have so far split this into 2 drawings so i am dealing with one power...
Potentials in points E, F, A, B are equal because there is no resistance. In my opinion, losses of potential energy in the resitors R1 and R2 are not equal (potential C ≠ potential G). Then why do we say that voltage in this circuit is the same?
Given the circuit above, I have to solve for the labelled currents, find V total and R total accordingly. 1A is flowing through the 5Ω resistor as shown. Assuming electron flow (negative terminal to positive) for circuit.
The connector in the middle was somewhat confusing. Without it, this...
These are my attempts at doing this question, and I was wondering if I am correct so far.
At t= 0-, i(L) will be 0A, since the capacitor acts as a open circuit.
However, I'm not sure why V(c) at t=0- will be -20V as given by the answers. Won't it be 0V?
Moving on, since current in inductor and...
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...
I apologize using English fluently because I am not an Enlgish speaker.
When I tried to solve this problem, I used current divider rule.
So, $$i_o(t) = \frac{3}{3+5}*4e^{-2t} = 1.5*e^{-2t} A$$
However, This was wrong.
The answer is $$ 1.5*e^{-2t} + 0.5 A$$
If I use $$V_O = L*\frac{di}{dt}$$...
4 resistors R1= 10 Ohm R2= 7 Ohm R3= 6 Ohm R4 = 18 Ohm, internal resistance of source is 0,5 Ohm and supply voltage is 27V
Total resistance in parallel resistors 1/R = 0.465 taking the inverse of that i get 2,15 Ohm. Add to that the internal 0,5 and the total comes out to 2,65 Ohm.
Total...
Homework Statement
In the circuit diagram shown , Xc = 100 ohm , XL = 200 ohm , R = 100 ohm , the effective current through the source is ?
Homework Equations
Z= √( R^2 + ( XL - Xc)^2)
Vrms = Irms/ ZThe Attempt at a Solution
I tried to draw the phaser diagram and calculate the relation...
I've seen answers saying that electricity takes path of least resistance, I know this and there is no need to explain this for me.
A forum's answer told me that the electrons initially flow through to the path with resistance and eventually becomes congested (redirecting the remaining electrons...
Homework Statement
Homework EquationsThe Attempt at a Solution
When we will move the contact X towards P, the potential difference should be maximum across the potential divider. I work out A as my answer but I think it is wrong.
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...
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...
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...
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...
I'm having a little trouble understanding capacitors in parallel and series.
I understand that if there are two capacitors in a circuit with a potential difference Vab then the potential difference across the capacitors is also Vab.
Every example I have seen have been for two capacitors with...
Homework Statement
Homework Equations
I = VR
Series = current the same, voltage different
Parallel = current different, voltage the sameThe Attempt at a Solution
Is the 1 ohm and 15 ohm parallel? I'm still learning to differentiate it.
If yes, then R = 15/16 ohm
Is the R series to 5ohm? If...
Homework Statement
Homework Equations
Parallel circuit
The Attempt at a Solution
How can we see 2k//4k (parallel)? There are 2*2k & 2*4k. thanks.
(Though I can obtain the same answer by KVL)
Hello. Something has been bothering me for a while now:
Consider a circuit with one battery and only one light bulb, for example. We have a value for the resistance of the bulb (R) and there is also one value for voltage (U) and one for current (I).
Now, let's imagine that we connect a new...
Homework Statement
what is the value combined impedance of the parallel circuit ?when R=25 ,X[c]=100 and X[L]=25
Homework Equations
I think we use this equation to solve parallel impedance ....
The Attempt at a Solution...
Assume I have a parallel circuit of current sources with 5 current sources generating 1mA each. Therefore from both the terminals I will get 5mA total. Now if I add a battery to one of the terminals where current(i) will flow into my circuit. If i = 50mA, will I get 55mA current from another...
Hi PhysicsForums,
Why would a parallel circuit(or in blood) decrease resistance?
Here is my thought experiment and where I got stuck:
Say from aorta to one arteriole, the resistance is super high on that flow(this big amount of flow is entering a tinier area), but add more arterioles and we...
Homework Statement
Reduction from top network to bottom network in the screen shot. I can not find the steps that have been taken to do this.
Fault impedance = Zfa = Zfb = Zfc = j0.5
Homework EquationsThe Attempt at a Solution
in hand written screenshot, sorry for the mess, just to show it...
Homework Statement
In the circuit below the batteries have negligible internal resistance and the voltmeter V has a very high resistance. What would be the reading of the voltmeter?
Answer: 9.6 V.
2. The attempt at a solution
I used the Kirchhoff's rule: the current that flows from 10 V is...
Homework Statement
Resistor R1, R2, R3 are connected in parallel, have an equivalent resistance of 720(ohms). The currents are labeled I1, I2,and I3. I2 is 3x the value of I1, and I3 is 6x the value of I1. Calculate R1, R2, R3.
Homework Equations
I used the parallel circuit...
[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...
(sorry, I couldn't figure out how to insert an image from my drive) I have a problem where in finding the thevenin resistance I take out my independent sources and as a result I'm left with a resistor parallel to a short circuit. Should I ignore this resistor when calculating equivalent...
Homework Statement
L is a perfect inductor with inductance L. The switch is turned on at t=0 and the currents i1 and i2 run trhough the circuit as indicated by the figure.
Homework Equations
Given this circuit I need to find i1 and i2 for t=0 and t => infinity.
The Attempt at a Solution
For...
I have a ton of 1A buck converters, and have a 5A application in which i need to run. I do not want to order any new buck converters, because I already have so many 1A ones, and do not have money for any new ones. Each one can only handle 1A before it over heats.
I was wondering if I could use...
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...
Homework Statement
The problem along with its solution are attached in TheProblemAsWellAsSolution.jpeg file. For this post, I'm only referring to part (a), since part (b) is the same thing with another number.
Homework Equations
V = IR
Parallel circuit: ##I = I_1 + I_2 + . . . + I_n##
The...
Homework Statement
[/B]
What is the current between points A and B?
The current I is unknown.
The voltage is 12V.
R1 = 3 Ohm
R2 = 6 Ohm
R3 = R4 = 4 Ohm
Homework Equations
U= R*I
The Attempt at a Solution
Total resistance from both branches:
1/R = 1/(R_1+R_3) + 1/(R_2+R_4)
1/R = 1/7 +...
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...
Homework Statement
Solve the next circuit to find the voltages
Homework Equations
I=V/R
GT=(1/R1)+(1/Rn)
V=V1=V2=V3
The Attempt at a Solution
My background is that I know that in a parallel circuit, the voltage for each component is the same and electric current it's equal to the sum of the...
Homework Statement
The circuit in the link below contains a capacitor of capacitance C, a power supply of emf E, two resistors of resistances R1 and R2, and two switches S1 and S2. After switch S1 has been closed for a long time, switch S2 gets closed at a time t = 0. Sketch graphs of the...
A Power supply is connected to a parallel circuit with resistance R, there are three wires connected in parallel where the voltages would be the same,however, the current would be dived based on the number of wires and the resistance is the same.
What would happen if wire (c) was placed in a...
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...
Hi, I'm taking a basic electricity course right now and I'm having trouble understanding a formula. The way they have their example makes no sense to me. Can anybody verify that their example is correct and explain a little bit for me? See attached file.
1. Consider a circuit with 3 resistors (250.0 , 150.0 , 350.0 ) connected in parallel with a 24.0 V battery.
Find the total current supplied by the battery.
Find the current through each resistor.
2. I=V/R
3. I know that resistors in parallel must be added up and then...
Homework Statement
See image
Homework Equations
.5Li2
.5Cv2
The Attempt at a Solution
How do I calculate the current for a circuit of this type? I am unable to find any examples in our text. Can I use the following formulas to solve for the current flowing through each component:
I(r) =...
Homework Statement
The circuit is a Parallel RC
Z= 105KΩ∠-27 and Frequency is 50 Hz.
I was given the following information and hints.
1/z = 1/R + jwc
I need to find the common denominator of 1/R + jwc, Invert it to find z and simplify Z into one real and one imaginary part...
Homework Statement
Find the open circuit voltage VL(0) across the 5ohm resistor
Homework Equations
Z1*Z2/Z1+Z2
V(Z2*Z1+Z2)
The Attempt at a Solution
I thought for the open circuit voltage that due to infinite resistance of OC that the voltage across j35 inductor would...
Homework Statement
Determine IL in the circuit in the Figure.
Figure: http://i.imgur.com/PvKXtjX.png
V1 = ?
Ix = ?
IL = ?
3*Ix current source pointing downwards
7mA current source pointing upwards
7mA current source pointing downwards
7kOhm resistor
1kOhm resistor
Homework...
Homework Statement
Three capacitors, with capacitances C1 = 4.0 μF, C2 = 3.0 μF, and C3 = 2.0 μF, are
connected to a 12 -V voltage source, as shown in the figure. What is the charge on
capacitor C2 ?Homework Equations
Q=VC
Q = charge
V = voltage
C = capacitance
Ceq = equivalent...
I want to know how we can find out the net voltage of a circuit where two batteries with different voltages are connected in parallel... Let's consider the problem stated below...
If I have a circuit where there are 2 batteries in parallel(5V & 15V)... And it is connected in series with...
Hi!
Homework Statement
Homework Equations
V = IR
Kirchhoff Current and Voltage Law. The Attempt at a Solution
I am facing difficulty with this RC circuit.
I tried looking up solutions but all I could find were either exclusively series or parallel.
My first guess was to take Total Current...