1. If a circular loop of wire of radius 19.6 cm is located in a region where the
ID: 1285945 • Letter: 1
Question
1. If a circular loop of wire of radius 19.6 cm is located in a region where the spatially uniform magnetic field perpendicular to the plane of the loop is changing at a rate of +1.0 ? 10?3 T/s, find the value of the induced EMF in this loop due to this changing magnetic field.
2. Suppose we are given a square coil that is 3.5 cm on a side containing 100 loops of very fine wire. The total resistance of this coil is 1.5 ? 10?3 ?. This coil is initially centered on the origin with its sides parallel to the x- and y-axes. It is being rotated about the y-axis in a uniform magnetic field of 1.6 T along the z-axis, with an angular velocity of3.5 rad/sec. Find the magnitude of the peak value of the induced current flowing in this coil under these conditions.
Explanation / Answer
1) EMF = A*dB/dt
=pi*(0.196)^2*10^-3
=1.206*10^-4
2) peak value of current= peak emf/resistance
=1.6*3.5*0.035^2/(1.5*10^-3)
=4.5733 A
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