Induced emf around a closed path in a time-varying magnetic field.(adsbygoogle = window.adsbygoogle || []).push({});

A magnetic field is given in the xz-plane by B=Bo*cos(pi)(x-Uot)ay Wb/M^2. Consider a rigid square loop situated in the xz-plane with its vertices at (x,0,1), (x,0,2),(x+1,0,2) and (x+1,0,1).

1.What is the expression for the emf induced around the loop in the sense defined by connecting the above points.

2.If the loop is moving with the velocity [tex]V = U_{o}a_{x}[/tex] m/s instead of being stationary what is the induced emf

This is what I got for flux. Can someone check me if I’m doing this right? If it is ok then I can go to next step. I hope, the latex code comes out right. Thanks for help.

Sorry, I should be more specific. This is the exact expression:

[tex]\ B = B_{o}cos{\Pi}(x-U_{0}t)a_{y}[/tex]

So:

[tex]\psi=\int_{s}B\cdot\,ds=\int_{0}^{2} \int_{0}^{1}B_{0}cos{\Pi}(x-U_{0}t)a_{y}\cdot\, dx\,dz\,a_{y}[/tex]

My problem is that I'm not sure that integral limits are correct. Thanks

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

Dismiss Notice

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: Faraday's Law

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