Test Problem 3.12 You are performing a high current experiment with an electroma

Question

Test Problem 3.12 You are performing a high current experiment with an electromagnet, which produces the field shown to the right. The magnet produces a field of magnitude Bo = IT. Your klutzy lab partner breaks the circuit, causing the field to fall to zero in about 1 mus = 10^-6s, according to the function B(t) = B0e^t/tau where r = 1/is. The coil shown has 50 turns, and area 100cm^2 = 0.01m^2. Compute the induced emf in the coil. You may express your result as a function of time, t. Indicate the direction of induced current. Justify your answer.

Explanation / Answer

here,

magnetic feild , B = 1 T

time taken , t = 10^-6 s

the number of turns , n = 50

area = 100 cm^2

area = 0.01 m^2

(a)

the induced emf in the coil , E = change in flux / time taken

E = B*area*n / t

E = 1 * 0.01*50 /( 1 * 10^-6)

E = 0.5 * 10^-6 V

the induced EMF is 0.5 * 10^-6 V

(b)

as the magnetic feild is decreasing

By Lenz's law

the induced current that's magnetic field opposes the change which produces it

therefore , the direction of current is anticlockwise

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