is a vertical smooth long loop having a total resistance
where
is parallel to
and separation between them is
. A constant magnetic field
perpendicular to the plane of the loop exists in the entire space. A rod
of length
and mass
is made to slide down from rest under the gravity as shown in figure. The terminal speed acquired by the rod is
acceleration due to gravity

Text Solution
Verified by ExpertsC
As rod CD slides down with velocity
, it cuts magnetic field lines.
Induced EMF:
Induced current in the circuit:
Magnetic force on the rod (upward, by Lenz's law):

At terminal velocity, acceleration is zero.
Applying Newton's second law:

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