A circular loop of radius 17 cm is located in the plane of the paper inside a ho

Question

A circular loop of radius 17 cm is located in the plane of the paper inside a homogeneous magnetic field of 0.5 T pointing into the paper. It is connected in series with a resistor of 181 ?. The magnetic field is now increased at a constant rate by a factor of 2.8 in 15.0 s. Calculate the magnitude of the induced emf in the loop in V during that time. Calculate the current induced in the loop in A during that time.Calculate the average induced voltage, in V, when the magnetic field is constant at 1.40 T while the loop is pulled horizontally out of the magnetic field region in 3.5 s at constant speed.

Explanation / Answer

PART A

area of the loop, A = pi*r^2 = pi*0.17^2 = 0.09 m^2

induced emf = A*dB/dt = 0.09* (2.8*0.5 - 0.5)/15 = 5.4*10-3 V

PART B

Induced ecurrente = emf/R =5.4*10-3/181 =2.98*10-5 A

PART C

induced emf = A*dB/dt = 0.09 *(1.4 - 0)/3.5 = 0.036 volts

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