Lenz's Law Video Lessons

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Problem: A 5.0-cm-diameter coil has 20 turns and a resistanceof 0.50 ohms. A magnetic field perpendicular to the coil is B =0.02t + 0.010t2, where B is in tesla and t is in seconds. Find an expression for the induced current I(t)as a function of time.

FREE Expert Solution

Current:

i=Nπr2R(dBdt)

N is the number of turns, r is the radius of the coil, R is the resistance, and dB/dt is the derivative of the magnetic field with respect to time.

dBdt=ddt(0.02t+0.010t2)

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Problem Details

A 5.0-cm-diameter coil has 20 turns and a resistanceof 0.50 ohms. A magnetic field perpendicular to the coil is B =0.02t + 0.010t2, where B is in tesla and t is in seconds.

 Find an expression for the induced current I(t)as a function of time.

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