Question
Tue February 22, 2011 By: Death Vader

A coil of area 2m2 is placed in a magnetic field B(t) = 4t + 3 Tesla. The resistance of the coil is 100 milliohm. Find the induced current in the coil.

Expert Reply
Tue March 08, 2011
 
 
 is the permeability constant (1.26x10-6 H/m)
 

i is the current in the wire, in amperes.

r is the radius of the current loop, in meters.

 A is the area of the current loop, or 
 
4t+3 = 1.26x10-6 X i / ( 2 X sqrt(2/pi))
 
assuming t=0, B = 3
 
Hence,
 
i = 3X( 2 X sqrt(2/pi))/ 1.26x10-6
 
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