Homework Statement
An emf of 10V is connected to the RL circuit (R = 10 Ohms, L = 1.0 H)
shown below for long, long time (the switch is in position 1). Then, at t = 0
the switch is thrown into position 2. Find the current in the circuit at t = 0.2
s. When will the current drop to 0.001 A...
Homework Statement
Basically, I am deriving the following equation:
I=I_0(1-e^{-\frac{R}{L}t})
Homework Equations
1) L\frac{dI(t)}{dt}+I(t)R=V
2) \frac{V}{R}=I_0
The Attempt at a Solution
In relevant equation 1), R was divided both sides, and by using 2), I turned it into...
Hi Guys,
This is going to be a bit controversial but that's ok.
In an RL circuit, both with and without a battery, Kirchoff's law is invoked in virtually every elementary textbook in the United States and perhaps in the world. It is a mistake!
The voltage drop across an inductor is...
Using Kirchhoff's rules for the instantaneous currents and voltages in the two-loop circuit, find the current in the inductor as a function of time.
I used Kirchhoff's rule on the left loop consisting of the battery and the right loop which consist of the inductor and gotten the following...
Homework Statement
A resistance R and a 1.4 H inductance are in series across a 60 Hz AC voltage. The voltage across the resistor is 30V and the voltage across the inductor is 40V.
(a). What is the resistance R ?
(b). What is the AC input voltage ?
Homework Equations
\xi=I*Z
The Attempt at...
I am trying to analyse an RL circuit, particulartly the dependence of current in 2 resistors with time, in an RL circuit. This is what I think but I would really love some people to tell me if I am getting it wrong or if there is anything they want to add to it.
***Just after the the switched...
Homework Statement
Homework Equations
Find v(t) for t < 0 and t > 0 in the circuit.
The Attempt at a Solution
I tried to find the i through the inductor for both t=0- and t=infinity, but I did not get the same result as the answer given in the txtbook which is 96e-4t V. According...
Homework Statement
An RL circuit has a 9.0 V battery and a 5.5 ohm resistor. When the switch is closed, the current in the circuit is observed to increase from 0 to 0.30 A in 0.17 s.
A) What is the inductance?
B) How long after the switch is closed does the current have the value 0.47 A...
Homework Statement
The switch has been closed for a long time.
a) Current flowing through inductor. Voltage across it. IS any current flowing through the resistor.
b) The switch opens at t = 0s. Find an equation for the inductor voltage as a function of time for t > 0. How long does it take...
Homework Statement
Homework Equations
I am not really sure which equations would be relevant since my question seems to be more so concepts instead of numbers, so forgive me please :(
I am familiar with how to do just about all of this problem, I am simply baffled as to how I handle the...
This is not a homework problem, but practice. I have the answer. I need to know why.
Homework Statement
Homework Equations
i=\frac{E}{R}(1-e^{\frac{-t}{\tau}}) "charging" an Inductor
The Attempt at a Solution
I have solved part a) correctly...
I know this is a simple question but I can't quite figure out how to do this in a combined circuit:
Find the maximum voltage across a resistor R and inductor L with an AC power source of V0sin(wt). (Note: the resistor is in series with the inductor) I'm trying to figure out the total max...
In the RL Circuit Discharge and RCL Circuit, if you had only measured the resistance of your resistor and not taken into account the resistances in the inductor and function generator, how would this affect the calculated inducted from the half life measurement?
vf= 4(u(t)-u(t-1.8))v
I have to find i(t), for the attached circuit. I already evaluated it for t<0. But i a having problems in the rage 0<t<1.8.
I am at the point where i have to find the forced response, so o let t tend to infinity
(t->infinity). And so the Inductor acts like a short...
Hi,
I have the above the circuit and I've ended up with the following differential equation. I've tried solving it by separating the variables, but am not sure if its the right answer.
IR + L(di/dt) + IR = x(t)
x(t) = 5V. But since IR = y(t) and di/dt = 1/R dy/dt.
y(t) is the...
Homework Statement
For circuit B on page 2, find:
a) the time domain response v0 for a unit step input
b) input/output transfer function T(s) = v0/v_in
c) plot v0 vs. time
d) plot sinusoidal steady state vs. frequency: the magnitude in dB and phase in degrees of T(s)
Homework...
Homework Statement
A current pulse is fed to the partial circuit shown in Figure P32.25. The current begins at zero, then becomes Imax = 7.0 A between t = 0 and t = 200 µs, and then is zero once again. Determine the current in the inductor as a function of time. Let L = 1.0 mH and R = 100 ...
Homework Statement
The problem is from an old GRE that I can't wrap my head around.
http://grephysics.net/ans/8677/94
Homework Equations
V = -L(dI/dt)
I = V/R
The Attempt at a Solution
Okay, so I have the solution, I just don't understand their reasoning. A change in current...
1. http://img529.imageshack.us/img529/6205/87421877rv5.jpg [/URL]3. First I found i(0)
the equation for a source free RL circuit is
i(t) = i(0)e^(-t)/T
T = L/ReqSince the inductor will be shorted when t<0, i(0) must be 5mA.
Now to find Req I added series and parallel appropriately to find...
An RL circuit in which L = 9.00 H and R = 5.00 is connected to a 24.0 V battery at t = 0.
(a) What energy is stored in the inductor when the current is 0.500 A?
(b) At what rate is energy being stored in the inductor when I = 1.00 A?
(c) What power is being delivered to the circuit by the...
[SOLVED] Inductance RL Circuit
Calculate the inductance in an RL circuit in which R = 0.300 and the current increases to one fourth its final value in 1.40 s.
I tried doing this with V=IR, (I know, the easy way didn't work).
I also tried I= V/R(1-e^(Rt/L)) but I don't know what V would...
Can someone explain to me 2 basic applications of RL circuits? What are they used for and some examples, please. I'm quite confused. It doesn't take much.:blushing:
An AC source of 140V feeds 33A to a load,
though a cable represented by an unknown
resistance R in series with an unknown
inductive reactance X. The manufacturer
of that cable says, in the catalog, that
X=5R. The voltage at the load is 115V.
The power supplied by the source is measured...
I posted this is the homework section, but it looks like EE homework problems are getting more attention here.
I'm pretty sure I've got this right, but I would like to make sure before I hand this is.
V=10V DC source
I1 = 1H inductor
I2 = 2H inductor
R = Resistor
S= a switch that has...
Homework Statement
The switch is closed for a long time and opened instantaneously at t=0. Find and sketch the current y(t).
I haven’t had a class where I needed to do DC transient circuit analysis for over a year, so this simple thing is giving me some problems.
The way I see it...
Homework Statement
Hey guys, this is a question from one of the past exams. I've got my exams coming up and I was looking at this question, and I couldn't figure out how to start. I initially used KVL, but I then got two unknowns, the Voltage of the current source and the current of the...
Hi guys, I'm currently deriving all the equations provided by the my physics professor on the RL, RC and LCR circuits. My trouble is not the physics but the mathematics.
For example in the RL circuit the differential equation that needs to be solved is the following:
L\frac{dI}{dt} +IR =...
Can anyone please help me slove this example circuit i found.
im having a hard time finding the initial current through the inductor and duno how to deal with the dependent source and inductor after the switch is opened.
One application of an RL circuit is the generation of time varying high-voltage from a low-voltage source as shown in the figure.
1257 ohms
14 ohms 2 H (switch) b...
Hello eveeryone! exam time monday! Just doing some last checks to make sure I'm understanding this correctly. Here is the directions and circuit:
THe circuit shown below has beeen in the form shown for a very long time. THe switchopens at t =0. FInd iR at t equal to (a)0-, (b) 0+, (c)...
Hello everyone I'm confused...i was just doing RL and RC circuits without a driven source, they made sense after doing them a few 100 times. Now I'm at Driven RL circuits. My professor said:
iL(infinity) = 2mA
iL(0+) = 0.
From my understanding, i thought at infinity, the switch has been...
Hello everyone. I'm getting confused on what my professor did. Everything else makes sense to me but this one part. THe directions say:
Aftering having been closed for a long time, the switch in the circuit is opened at t= 0. (a) find IL(t) for t>0, (b) Evaluate IL(10ms).
I got both parts...
Can anyone tell me what formula I would use to find the time constant for a circuit that reaches 85% of its final value 1.86 seconds after the switch is closed.
I have analysed a RL circuit with freewheelind diode, switch and additional source. I have used ode solver which is called ode45 in matlab. This expression is [t, i]=ode45('inducwithE', tspan, i0'). There is three stages in that circuit and every last 'i' (current-this is the state variable)...
Suppose you manage a factory that uses many electric motors. The motors create a large inductive load to the electric power line, as well as a resistive load. The electric company builds an extra-heavy distribution line to supply you with a component of current that is 90 degrees out of phase...
hello all!:smile:
I have a question about electromagnetism.
The question is "Can the back emf ever be greater than the battery emf in RL circuit?"
can someone explain this one for me please?
I have a homework problem with an RL circuit. There are two loops in the circuit. One has the emf and two resistors and a switch and the other has two resistors and an inductor. The resistors, the inductor and the emf are all given values and I'm given that the switch is closed at time = 0...