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A copper wire bent in the shape of semicircle of radius r translates in its plane with a constant velocity v. A uniform magnetic field B exist in the direction perpendicular to the plane of the wire. Find the emf induced between ends of the wire if (a) the velocityis perpendicular to the diameter joining free ends, (b) the velocity is parllel to this diameter.

A copper wire bent in the shape of semicircle of radius r translates in its plane with a constant velocity v. A uniform magnetic field B exist in the direction perpendicular to the plane of the wire. Find the emf induced between ends of the wire  if (a) the velocityis perpendicular to the diameter joining free ends, (b) the velocity is parllel to this diameter.

Grade:

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
10 years ago

Dear vikash,

I am just giving you the hint,

Motional emf is largest when the direction of motion of the piece of metal is perpendicular to the wire and perpendicular to the magnetic field. When this is true, the motional emf is proportional to the speed of the wire, the length (L) of the wire, and the magnetic field:

When parallel, e=0

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