Hey,(adsbygoogle = window.adsbygoogle || []).push({});

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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Loop inside a solenoid, finding induced current

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**