Homework Statement
I am trying to figure out how an inductor works in depth. It should be something very simple to find, but I have yet to find an explanation that goes through the process step-by-step in a non-circular way.
I can solve the inductor differential equations and do phasor...
Hi,
The origin of this question was contemplating how to express the impedance of an inductor as a function of frequency, for non sinusoidal voltage wave-forms such as triangle waves, but in particular rectangular pulse trains.
So going back to basics, I watched this video:
He derives the...
Homework Statement
Although it's easy to find calculations of thermal noise for resistors and capacitors, the equivalent for inductors is not found. What is the relevant formula? Is there some simple conversion for this?
Homework EquationsThe Attempt at a Solution
Homework Statement
Homework Equations
Z = √(XC2 + XL2)
XL = 2πƒL
XC = 1 / 2πƒC
I = V/Z
The Attempt at a Solution
First off, thank you for all of the help this semester. I'm sure you'll be seeing questions from me in the spring also. Here is how I'm thinking about this problem:
1. Using the...
Homework Statement
https://imgur.com/vQRoMjZ
Homework EquationsThe Attempt at a Solution
I believe that the inductor does negative work on the charges via the electric field (by way of induced EMF).
I am unsure about how the capacitor would be doing positive work, though. Can anyone help steer...
Homework Statement
Homework Equations
[/B]
V = 1/L di/dt
I = Io x (1 - e^(-t/L/R)
Tau = L/RThe Attempt at a Solution
[/B]
Ii = 0mA ; If = 1mA
Vi = 1V ; Vf = 0V
Tau = 15uH / 1k Ohms = 10ns
If my above is correct, then voltage and current equations through inductor should be as follows...
Homework Statement
[/B]
Calculate, and plot along with (on the same plot) the voltage seen below, the current flowing in the following circuit using the integral relationship between the voltage across an inductor and the current through the inductor. Verify your hand calculations and plot...
If an inductor requires a changing current to produce a voltage drop across itself Then is there any purpose to an inductor with constant current going through it? Is AC usually used with inductors since its always changing.
Homework Statement
A voltage of V = V_0 sin(\omega t) is applied to an inductor. Find an expression for the current and hence the power.
Homework Equations
I have used the equation: V = -L \frac{di}{dt}
and for power: P = IV
The Attempt at a Solution
I tried to find I(t) by integrating...
Hi all I am confused with the inductor working, I want to understand it in very much detail. Pl see the following image,
First Thing : Here we have an initially uncharged inductor L in fig 1 with a switch S and a const. voltage source of voltage V.
Now in fig 2 let the switch is closed at...
Homework Statement
A 35.0 V battery with negligible internal resistance, a 50 Ω resistor and a 1.25 mH inductor forms a RL circuit. How long will it take for the energy stored in the inductor to reach one-half of its maximum value?
Homework Equations
##i(t)=I_0 e^{\frac{-tR}{L}}##...
Hi
I have the following situation:
(Please see attached pic)
I want to know if equation (4) i have written is correct.
What is confusing me is that, I remember being told in circuit analysis that each energy storage element should have its own state variable.
But in this situation when I...
Hi.
Is it correct to say that an inductor with a state, that is some level of current inside it, and a capacitor with some voltage, are equivalent to a current source (in the case of an inductor) and a voltage source (in the case of a charged capacitor) respectively at that instant of time?
Of...
I know the mechanism of a circuit containing just a capacitor connected to battery in resistance less wire. The particles are just tending towards making same emf on capacitor.
But, I am not able to think clearly for the case of inductor. As, we connect battery and as resistance is 0.So,current...
I have a system with three inductors connected together at a common point.
The unconnected ends of each inductor is connected to an independent voltage source.
Basically I want to get three expressions for the dynamics of the currents with V1, V2 and V3 as inputs.
i.e. i need to eliminate the...
1. Homework Statement : Two identical uncharged capacitors A and B each of capacitance C and an inductor L are arranged as shown in the adjacent figure. At t=0, the switch S1 is closed while switch S2 remains open.At time t=to=√(LC)Π/2, switch S2 is closed and S1 is opened.
After switch S2 is...
How do I find out gauss from air core inductor 36mohm pumped with ~130amps 9ms long?
http://www.parts-express.com/erse-25mh-14-awg-perfect-layer-inductor-crossover-coil--266-380
Greatly appriciated.
Homework Statement
Homework EquationsThe Attempt at a Solution
I don't understand why would the current be zero in any of the branches . May be I am missing something very fundamental .
Please help me understand this question .
I want to expose something that caused me a lot of curiosity. First of all, I beg you to point out my mistakes and, if there are any insurmountable ones, help me to understand them. I start by presenting a figure.
It is a solenoid that differs from the common case, because the wire at one end...
Homework Statement
Homework EquationsThe Attempt at a Solution
I think I can solve this problem . But I am bit unsure about how current changes in the circuit and the coil when it is shorted .
Before the coil is shorted , there will be no induced EMF across the terminals of the coil ...
hi to everybody,
can somebody tell me, ferrit rod coils, is a transformer?
if yes how do you calculate? what is the formula
how you select the coupling inductor L2 or L3...
because like i read the maing inductor must connect to capacitor(for frequency to find min and max i understand)
but...
Homework Statement
Homework EquationsThe Attempt at a Solution
[/B]
I got the first 2 parts, but I'm having trouble with the last one. For the time the switch S1 is closed, I derived ##q(t) = CE(1 - \cos(\frac{t}{\sqrt{LC}}))##, by writing the loop equation ##\frac{E}{L} - \frac{1}{LC}q =...
Homework Statement
Hi. I started studying LR circuits and the first thing that made me do searches in textbooks of mine and in the internet was the time constant which is surprisingly not L times R, but L/R which would mean the time needed to store and release energy is being prolonged with...
Hi guys..i have got a question...suppose i connect an inductor to a dc source until it is fully charged..as soon as it gets full of magnetic energy,i disconnect it from the circuit..remember that it has magnetic potential energy..suppose an idiot like me opens up the inductor (as inductor is...
I am trying to calculate the ripple current in boost converter for ∆i1 and ∆i2 between time intervals between DT and T, and also dependent on the voltage level (Vin or Vin-Vout). To find a formula for ∆i1 and ∆i2, two formulas have to be derived for them. This is done from the equation:
I...
I want to program a little power grid game and have the problem of connecting things via transformers. Imagine the following setup:
You can see the AC voltage sources as generators (or together with the resistor as a "consumer", if the amplitude is 0).
What I need to figure out are the...
Homework Statement
Homework Equations
V = L di/dt
Energy = V*I*t
The Attempt at a Solution
First we find out V across L
This V will be there only for 1st 2 seconds as after that there is no change in current.
So V(across L) is L * di/dt = 2 * 6/2 = 6V equation 1
Now Current is a function...
Hi everyone,
Lately I have been studying the Poynting Flux and I am familiar with the classic examples of how it can be used to describe the power being dissipated by a resistor and the energy flowing into a capacitor, but I have never come across a similar analog for how the Poynting flux...
The context is an ac circuit with only one element - the inductor. My textbook says that the self-induced emf increases with increasing angular frequency, but I'm having trouble seeing this mathematically. If self-induced emf = ε = -L(dI/dt) and L = X/ω, then emf and ω are inversely related...
I think I must have missed something when going over inductors for my electric circuits class.
The voltage across an inductor is described by the equation: ##V(t) = L\frac{di(t)}{dt}##
For the case where current is flowing through the inductor until ##t=0##, at which point the voltage/current...
Homework Statement
Find the maximum energy stored in the inductor.
Homework Equations
##p(t) = 0.09375te^{-1000t}(1-500t)##
The Attempt at a Solution
[/B]
So, I've been working my way through a multi-apart problem and one part asks me to find the maximum energy stored in an inductor. Given...
Homework Statement
"The switch in the circuit in the figure has been closed for a long time and is opened at t = 0. Find i(50 ms)."
I attached an image of the circuit below.Homework Equations
KVL:
Ri + q(t)/C - q(0)/C + vc(t) + Li' = vs(t)
Li'' + Ri' + i/C = vs'(t)
Where vc is voltage across...
Homework Statement
Homework EquationsThe Attempt at a Solution
In this problem as the rod moves towards right, magnetic force of magnitude ilB starts acting towards left on the rod.This decreases the speed of the rod .The EMF induced in the rod is Blv where v is the instantaneous speed of...
Homework Statement
What is the current through the resistor marked 'R' in all three circuits just after the switch is reopened after being closed for a long time?
The Attempt at a Solution
The explanation that we were given for (1) is that I = V/2R and (2) I = V/3R and (3) I = V/(R/2) but I...
Homework Statement
An inductor of negligible resistance and an inductance of 0.2 H is connected in series with a 330 Ω resistor to a 12V d.c. supply. Determine:
(b) the voltage drop across the inductor after two time constants(c) the voltage drop across the resistor after three time...
Dear All,
This is my first question to the forum.
"Assume there is a + dc voltage across a inductor. So current will continue to increase. Now if the current through the inductor is forced to stop using some means ( eg. Current was flowing in inductor through a ON switch and then switch turns...
Dear All,
This is my first question to the forum.
"Assume there is a + dc voltage across a inductor. So current will continue to increase. Now if the current through the inductor is forced to stop using some means ( eg. Current was flowing in inductor through a ON switch and then...
Homework Statement
Can we consider an inductor as a battery of emf ξ = -## L \frac {dI } { dt} ##?
For the above circuit,
##V_A - V_B = V_C -V_D
\\ -L \frac {dI } { dt} = IR ##
Here, the inductor is acting as a battery of emf ## -L \frac {dI } { dt} ##.
For the above circuit,
##V_A - V_B...
I am struggling with the concept of induced current in a circuit consisting of an inductor and how that induced current establishes back EMF .
Please see the page of the textbook attached .
There is a circuit consisting of an inductor , a series resistance (not shown) and a battery ( not shown...
This post is inspired by a lesson on the allaboutcircuits education website. In chapter 15 of Direct Current there is a heading "Inductors and Calculus" - https://www.allaboutcircuits.com/textbook/direct-current/chpt-15/inductors-and-calculus/
At the bottom of the topic there is a circuit...
what is actually happening when an Inductor is connected with an ac source.(i mean at the very instant of connection is made).i know emf will be induced due to change in current.(curl of E is =-time derivative of B)here my confusion is,inorder to induce emf,current should flow first,then who...
I have a circuit which can produce bursts of 500V. When I did this circuit, The 2.2 mH is burning. I want to know whether do we need to take care the power rating of inductor?
After the test I tried the experiment without inductor too. I have used 2.2ohm, 1W resistor. That too started to burn...
Homework Statement
A capacitor with a capacitance of C = 5.95×10−5 F is charged by connecting it to a 12.0 −V battery. The capacitor is then disconnected from the battery and connected across an inductor with an inductance of L = 1.50 H .
What is the charge on the capacitor after a time...
Trying to understand how in a conductor in an Ac circuit, the voltage leads the current.
AS far as i read the voltage and the current max do not peak at the same time? Also because of lenz law the behavior of the coil resist the build up of the current so it takes time for a change in voltage...
Homework Statement
For the circuit shown in the figure, the inductors have no appreciable resistance and the switch has been open for a very long time.
(Image of circuit)
(a) The instant after closing the switch, what is the current through the 60.0-Ω resistor?
(b) The instant after closing...
Hello all -
I've stumbled upon what seems to be a pretty basic magnetic materials question that's got me stumped. Maybe one of you can help me figure this out.
I did the following experiment (see figure below):
Put a ferrite toroid around a current carrying wire carrying 12 Amps RMS at 120V...
Homework Statement
In the figure, R = 1.9 kΩ and ε0 = 60 V . When the switch is closed, the current through the inductor rises to 10 mA in 30 μs .
What will the current in the circuit be after many time constants?
Homework Equations
I = V/R or I = ε/R if current is constant which after many...