A circular conducting loop of radius 19.0 cm is located in a region of homogeneo

Question

A circular conducting loop of radius 19.0 cm is located in a region of homogeneous magnetic field of magnitude 0.900 T pointing perpendicular to the plane of the loop. The loop is connected in series with a resistor of 171 ?. The magnetic field is now increased at a constant rate by a factor of 2.10 in 23.0s.

a) Calculate the magnitude of the induced emf in the loop while the magnetic field is increasing.

b) Calculate the magnitude of the current induced in the loop while the field is increasing.

Please show all work! I will rate very well! Thanks!

Explanation / Answer

answers a). 4.88 * 10^-3V b). 2.85 * 10^-5A induced emf =rate of change of flux = (2.1*0.9 - 0.9) / 23 * pi * .19^2 = 4.88 * 10^-3V induced current = V/R = 4.88 * 10^-3 / (171) = 2.85 * 10^-5A

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