and 
axes is moved with
velocity of 
in the positive
direction in an environment containing magnetic field in the positive
z-direction. The field is neither uniform in space nor constant in time. It has
a gradient of 
along the negative
x-direction (that is increases by as one moves the
negative x-direction), and it is decreasing in time at the rate of 
. Determine the
direction and magnitude of the induced current the loop if its resistance is 
.
Answer:
Rate of change of
flux due to time variation in
Rate
of change of flux due to non uniform
Total rate of
change of flux
i.e.,
and
Direction of
induced current in such that it increase the magnetic flux linking with the
loop in positive direction.
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