A small circular loop of conducting wire has radius and carries current

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A small circular loop of conducting wire has radius

a

and carries current

I

. It is placed in a uniform magnetic field

B

perpendicular to its plane such that when rotated slightly about its diameter and released, it starts performing simple harmonic motion of time period

T

. If the mass of the loop is

m

then : (1)

T = \sqrt{\frac{2m}{IB}}

(2)

T = \sqrt{\frac{\pi m}{2IB}}

(3)

T = \sqrt{\frac{2\pi m}{IB}}

(4)

T = \sqrt{\frac{\pi m}{IB}}

Related theory

Simple Harmonic Motion (SHM)
Current Loops & Dipoles
Torque on current loop
Torque on a current loop
Moving Charges and Magnetism

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