In this problem, we'll apply Faraday's law to determine the magnitude of the induced emf and Lenz's law to determine the direction.
, where Φ is the magnetic flux, N is the number of turns, t is the time, and A is the cross-sectional area of the coil.
Lenz's law: The induced current flows in a direction such that it opposes the change in flux inducing it.
Power rule of derivation:
The magnetic flux through the loop shown in the figure below increases according to the relation ΦB =6.0t2 + 6.4t, where ΦB is in milliwebers and t is in seconds.
(a) What is the magnitude of the emf induced in the loop when t = 2.9 s?
(b) What is the direction of the current through R?
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