A resistor–inductor circuit (RL circuit), or RL filter or RL network, is an electric circuit composed of resistors and inductors driven by a voltage or current source. A first-order RL circuit is composed of one resistor and one inductor and is the simplest type of RL circuit.
A first order RL circuit is one of the simplest analogue infinite impulse response electronic filters. It consists of a resistor and an inductor, either in series driven by a voltage source or in parallel driven by a current source.
I set up the equation ##V-iR-L\frac{di}{dt}=0##, with ##i(0)## and by solving it I got ##i(t)=\frac{V}{R}(1-e^{-\frac{R}{L}t})##.
Then, since the steady state current is ##i_s=\frac{V}{R}## I imposed the condition ##i(t_1)=\frac{9}{10}\frac{V}{R}\Leftrightarrow...
Edit: Picture of the Circuit (Simple RL circuit)
The value of L is not given.
Attempt to Solve for T by Rearranging Equation 1:
I rearranged the equation to solve for T, using Ohm's Law so solve for I = V/R at each time.
https://www.desmos.com/calculator/qlb2n6w4bg
This graph is...
Above is the figure of the question.
According to Kirchhoff's Rule, I have obtained three equations
$$\varepsilon-iR_{10}-L_{40}\frac{di_1}{dt}=0$$
$$L_{40}\frac{di_1}{dt}-i_2R_{60}=0$$
$$i_2R_{60}-R_{30}(i-i_1-i_2)-L_{15}\frac{d(i-i_1-i_2)}{dt}=0,$$
where ##\varepsilon## stands for emf=100V...
Homework Statement
Homework EquationsThe Attempt at a Solution
When the switch is off , the current in the inductor doesn't drop to zero instantaneously . The current in the loop consisting of inductor , resistor and two bulbs will decay gradually . Now since there is a complete circuit...
Homework Statement
An Inductor L and a Resistance R are connected in series with a battery of emf E. Find the maximum rate at which the energy is stored in the magnetic field.
Homework Equations
Energy stored in an inductor : U= 1/2Li2
For a simple LR circuit with a DC voltage source the...
1. I thought that when switch was closed, voltage at the right side of switch was 0 and long time after the switch is open, the voltage at the right side of the switch becomes 0.
2. After the switch is open ecause of the inductor, voltage at the right side of the switch is εL = induced emf
So...
Homework Statement
Find X [/B]
Homework Equations
V1(t)=8cos(12000t)
V0(t)=Xcos(12000t+θ)
The Attempt at a Solution
[/B]
I've tried quiet a lot actually, but all in vain. Seems like I am either misunderstanding something, or i am just too tired to think at the moment. Either way, I am...
Homework Statement
When the current in the portion of the circuit shown in the figure below is 4.00 A and increases at a rate of 0.500 A/s, the measured voltage is ∆ = 15.0 V. When the current is 4.00 A and decreases at the rate of 0.500 A/s, the measured voltage is ∆ = 10.0 V. Calculate the...
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...
Homework Statement
An inductor is connected to the terminals of a battery that has an emf of 12.0Vand negligible internal resistance. The current is 4.86mA at 0.940ms after the connection is completed. After a long time the current is 6.45mA.
Homework Equations
V = IR
V(t) = V0 (exp(-t/τ))...
Homework Statement
In each of the four circuits shown,
an AC input voltage, ##V_0 cos(\omega t)## is applied on the
left and the output voltage is measured on the
right. Treat the input frequency as a...
Homework Statement
Switch S is closed for long time in the figure shown. Find the current i as soon as the switch is opened.
The Attempt at a Solution
At t=∞ inductor behaves as closed circuit. So, I can simply replace it with a wire and calculate the current which comes out to be 9A...
A coil connected across a d.c. supply will cause a spark to occur across a switch when turned off. The current flowing in the circuit at this moment is given by the equation i = IetR/L amps. Where I is the maximum circuit current, R the resistance of the coil and L the inductance of the coil...
Homework Statement
at t=0 switch S is closed. Just after the switch is closed what are i1, i2, the potential difference across V2 across resistor 2, and Vl across the inductor? A long time after the switch is closed, what are i1, i2, V2, and Vl?
Emf = 12V, R1= 15 ohms, R2 = 25 ohms, and L...
Hello,
I am working on a creating the characteristic equation (in general terms) of the voltage (and current, but not as important) for the capacitor in a RC connected to a LR. The RC circuit is initially charge (say has been connected to a power supply for all time before t = 0) and at t = 0 a...
Homework Statement
Homework Equations
V = IR
I = V/R (1 - e^(-t / τ))
τ = L / R
The Attempt at a Solution
I'm so thrown off by these two problems. Every example I have done has nothing in parallel and it is simple, but my homework question involves having to do a...
problem: switch of LR circuit is closed at time = 0; what is ratio of inductor's self-induced emf ( E(L) ) to battery's emf ( E(bat) ) at t = 2τ?
my solution:
switch is closed so current begins to build up according to equation:
i = (E(bat)/R) (1-e^(-t/τ) )
multiplying R on both sides and...
Homework Statement
An LR circuit has a resistance R = 25 Ω, an inductance L = 5.4 mH, and a battery of EMF = 9.0 V. How much energy is stored in the inductance of this circuit when a steady current is achieved?
Homework Equations
\epsilon= -d\phim/dt=-L\frac{dI}{dt}
Um=\frac{1}{2}LI2...
Heya Everyone
I decided to do some experiment with an LR circuit. I have an inductor in series with a resistor connected to a function generator. I will set the frequency to the resonant frequency of the circuit. Now, I will change the inductance of the inductor by bringing in a conductor...
I solved it :pHomework Statement
The Attempt at a Solution
I need help with part (a)
Current in LR circuit, i = i_o (1 - e^{-t/\tau}) and \tau = \frac{L}{R}
so, \frac{dq}{dt} = i_0 (1 - e^{-t/\tau})
integrating it is not giving me the correct answer.
Why is the emf induced in an inductor much larger when the switch connecting it to a battery is closed than when the switch is opened? Somewhere in a text I had read that di/dt is very large when an LR circuit breaks but then its value for growth and decay in an LR circuit is...
Homework Statement
An LR circuit consists of an inductor with L = 2.3 × 10-4 H and a resistor with R = 1.10 Ω connected in series to an oscillating source of emf. This source generates a voltage
ε = εmaxsin( ωt)
with εmax = 0.80 V and ω = 6.00 × 104 rad/s. What is the maximum current in...
http://img527.imageshack.us/img527/1787/lccircuitrk6.th.gif
The switch S is closed for a long time and then released again. How much energy is dissipated through the resistors after the switch is released?
It should be (LI^2)/2 shouldn't it? Where I is the current right before the...
Homework Statement If You want to turn on the current through a coil of self inductance L in a controlled manner, so you place it in series with a resistor R= 2200 ohm, a switch, and a dc voltage source Vo=240 V. After closing the switch, you find that the current through the coil builds up to...
Homework Statement
Show that a series LR circuit is a Low Pass filter if the output is taken across the resistor. Calculate the corner frequency, f_c, if L = 2mH and R = 10k\Omega.
Homework Equations
H(\omega)\,=\,\frac{V_0(t)}{V_i(t)}
H\left(\omega_c\right)\,=\,\frac{1}{\sqrt{2}}...
Homework Statement
1)A coil of self inductance of 0.7 Henry is joined in series with a non inductive resistance of 5 ohms. Calculate the wattless and power components as well as total current when connected to a supply of 200 volts at frequency of 50 cycles per second.
Homework Equations...
I have just done an experiment on CR and LR circuits.
http://img9.picsplace.to/img9/21/RC.jpg
Connect channel 1 of the CRO across both the capacitor and resistor and channel 2 across the resistor.The trace on channel 1 is taken as the p.d. across the capacitor and that on channel 2 as ths...
Homework Statement
A LR circuit has a 10V battery, 5.50H inductor, and a 6.7 Ohm resistor. The battery is closed at t=0. (a) What is the time constant of the circuit? (b) How much energy is delivered by the battery during the first 2 seconds? (c) How much of this energy is stored in the...