A loop of wire with length 0.75 cm and width 0.35 cm is removed from a region of

Question

A loop of wire with length 0.75 cm and width 0.35 cm is removed from a region of constant magnetic field 0.38 T. The loop of wire has a resistance of 1 ? total. The wire is to be removed with a velocity of 3.5 m/s. What is the induced current, and in which direction does it flow? How large of a force must be exerted?

The same loop of wire were to be inserted into the magnetic field at the same velocity. What is the induced current, and in which direction does it flow? How large of a force must be exerted?

Explanation / Answer

here,

length , l = 0.0075 m

w = 0.0035 m

magnetic feild , B = 0.38 T

resistance , R = 1 ohm

velocity , v = 3.5 m/s

EMF induced , V = B * v * w

V = 0.38 * 3.5 * 0.0035

V = 4.65 * 10^-3 V

current induced , I = V/R = 4.65 * 10^-3 A

using Lenz's law

the current induced is clockwise

force exerted , F = B * I * w

F = 0.38 * 4.65 * 10^-3 * 0.0035

F = 6.19 * 10^-6 N

the force exerted is 6.19 * 10^-6 N

when the loop is inserted,

using Lenz's law

the current induced is so that the magnetic feild due to induced current is out of the page ,

so the induced current is counter clockwise

and the force is same

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