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Please show all work and specify the correct answer at the bottom! As shown in t

ID: 1454455 • Letter: P

Question

Please show all work and specify the correct answer at the bottom!

As shown in the figure, a wire and a 10- resistor are used to form a circuit in the shape of a square, 20 cm by 20 cm. A uniform but nonsteady magnetic field is directed into the plane of the circuit. The magnitude of the magnetic field is decreased from 1.5 T to 0.5 T in a time interval of 91 ms. The average induced current and its direction through the resistor, in this time interval, are closest to

66 mA, from a to b. 44 mA, from a to b. 44 mA, from b to a. 26 mA, from b to a. 26 mA, from a to b.

Explanation / Answer


induced emf is defiend as the rate of change of magnetic flux

in mathematical form,

induced emf e = NAdB/dt or NABW

where A = area

N = no. of tunrs

induced emf e = 1 * 0.2 * 0.2 * (1.5 -0.5)/0.091

emf e = 0.44 Volts

induced current i = emf/R

I = 0.44/10

I = 0.044 A or 44 mA

from lenz law this is directed fron b to A


option THREE 44 mA, from b to a. it is

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