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1) If a circular loop of wire of radius 17.3 cm is located in a region where the

ID: 2294553 • Letter: 1

Question

1) If a circular loop of wire of radius 17.3 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 +1.8 ? 10?3 T/s, find the value of the induced EMF in this loop due to this changing magnetic field.


2) If you see a large 60 Hz signal being displayed on the oscilloscope while making your measurements, which of the following most likely explains this? (Select all that apply.)

3) Suppose we are given a square coil that is 3.0 cm on a side containing 100 loops of very fine wire. The total resistance of this coil is 1.2 ? 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 1.8 T along the z-axis, with an angular velocity of 3.0 rad/sec. Find the magnitude of the peak value of the induced current flowing in this coil under these conditions.



Explanation / Answer

induced emf e = NAdB/dt

where N = no. of turns = 1

A = area = pi r^2 = 3.14* 0.173*0.173 = 0.094 m^2

dB/dt = rate of change of magnetic fied = 1.8*10^-3 T/s

so emf e = 1* 0.094* 1.8 *10^-3

emf e = 0.169 mV

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