A circular loop of radius 19 cm is located in the plane of the paper inside a ho

Question

A circular loop of radius 19 cm is located in the plane of the paper inside a homogeneous magnetic field of 0.1 T pointing into the paper. It is connected in series with a resistor of 135 ?. The magnetic field is now increased at a constant rate by a factor of 2.1 in 29.0 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 0.21 T while the loop is pulled horizontally out of the magnetic field region in 4.7 s at constant speed.

Explanation / Answer

emf e = -d(phi)/dt =3.142*(.19)^2*2.1/29=8.21mV.

..... current i =emf/R = 60.8 uA.......

emf e =-d(phi)/dt =B*dA/dt=0.21*3.142*0.19^2/4.7=5.06mV..

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