Register to reply

Loop inside a solenoid, finding induced current

by Sekonda
Tags: current, induced, inside, loop, solenoid
Share this thread:
Sekonda
#1
May12-12, 11:26 AM
P: 209
Hey,

The question concerns a basic solenoid with an oscillating current, we have a loop inside with a particular resistance and we want to determine the current induced in this particular loop. The question is in the image below:



Right, well it tells us to determine the electromotive force; so I used the:

[tex]\varepsilon =\oint _{C}\vec{E}\cdot d\vec{L}[/tex]

and by stokes theorem I equated this to:

[tex]\oint _{C}\vec{E}\cdot d\vec{L}=\int\int_{S,open}\left (\bigtriangledown \times \vec{E} \right )\cdot d\vec{A}[/tex]

and by using Faraday's Law to find the cross product of E via the derivative of the magnetic field with respects to time, I put this into the above RHS equation to determine the electromotive force.

I attained the final current as:

[tex]I(t)=-\frac{\omega \pi r^2B_{0}cos(\omega t)}{9R}[/tex]

Is this all right or have I made a mistake, and if so where?

Thank you very much for your time,
SK
Phys.Org News Partner Science news on Phys.org
Law changed to allow 'unlocking' cellphones
Microsoft sues Samsung alleging contract breach
Best evidence yet for coronal heating theory detected by NASA sounding rocket

Register to reply

Related Discussions
Current induced in a loop inside a fluctuating field General Physics 0
Current induced in loop - treat like a solenoid? Introductory Physics Homework 0
Magnetic flux through loop inside of solenoid Introductory Physics Homework 9
Current in wire loop inside a solenoid... Introductory Physics Homework 7
Induced EMF: Solenoid in Square Loop Introductory Physics Homework 2