Magnetic field due to currentHard
Question
Inside a long cylindrical solenoid of radius R has a magnetic field exists which that is approximately uniform in space but varies with time as B = B0–t, where B0 and are positive numbers. B points out of the paper at t = 0 in an end-on view of the solenoid as shown below. The magnitude and direction of the electric field at a radial distance 2R from the axis of the solenoid is :
Options
A.
R/4, counterclockwise
B.
R/4, clockwise
Â
C.
R/2, counterclockwise
Â
D.
R/2, clockwise
Â
Solution
CCW path at r = 2R gives 2(2R)E = –(d/dt)[(B0 – t)(R2)]  E = R/4 ; CCW
opposes the loss of B out of the paper just as would be the case if a real wire were there with E in the direction of I.
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