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Introduction to Faraday's Law

Monday 30 May 2011


Introduction to Faraday's Law

Question Details
A cylindrical iron rod of infinite length with cross-sectional area A is oriented with its axis of symmetry coincident with the z axis of a cylindrical coordinate system as shown in the figure. It has a magnetic field inside that varies according to B_z(t)=B_0 + B_1t. Find the theta component E_{\theta}(R,t)of the electric field at distance R from the z axis, where R is larger than the radius of the rod. (Shown in the figure)
 
 
I have the answer...  E_{\theta}(R,t)  =-\frac{\left(AB_{1}\right)}{2{\pi}R}
 
My professor did this in class and said that *hint* we should be familiar with this for an exam we have tomorrow. He worked through it very quickly, too quickly to hardly write down anything.
 
I just need to know the steps to get to the answer
 
any help would be much appreciated!

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