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1. A bar magnet falls from some height above the center of a loop of wire standi

ID: 1469540 • Letter: 1

Question

1. A bar magnet falls from some height above the center of a loop of wire standing flat on a table, as shown at right. The wire has no net charge, and no initial current was flowing in it. What is the acceleration of the magnet? 2. When a magnet in an MRI is abruptly shut down, the magnet is said to be quenched. Quenching can occur in as little as 20.0 s. Suppose a magnet with an initial field of 1.20 T is quenched in 20.0 s, and the final field is approximately zero. Under these conditions, what is the average induced approximately zero. Under these conditions, what is the average inducd emf around a conducting loop of radius 1.00 cm (about the size ofa wedding ring) oriented perpendicular to the field?

Explanation / Answer

Here ,

as the wire has no net current and no net charge therefore,

magnet has have net acceleration equal to acceleration due to gravity

a = g = 9.8 m/s^2
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2.
induced emf is defiend as the rate of change of magnetic flux

in mathematical form,

induced emf e = NAdB/dt or NABW

where W is angular velocity

where A = area

N = no. of tunrs

dB/dt = rate of change of magnetic field

so induced emf e = 1 * 3.14 * 0.01* 0.01 * 1.2/20

emf e = 1.88e -5 Volts