A wire loop consists of two semicircles connected by straight segments (see figu

Question

A wire loop consists of two semicircles connected by straight segments (see figure below). The inner and outer radii are R1 = 0.1 and R2 = 0.9 m, respectively. A current of I = 1.5 A flows in this loop with the current in the outer semicircle in the clockwise direction.

What is the magnetic moment of this current loop?

A m2       
0.377   NO

Direction?

A wire loop consists of two semicircles connected by straight segments (see figure below). The inner and outer radii are R1 = 0.1 and R2 = 0.9 m, respectively. A current of I = 1.5 A flows in this loop with the current in the outer semicircle in the clockwise direction

Explanation / Answer

a) Magnetic moment = That of bigger one - smaller one

= n2i2A2 - n1i1A1

= i*pi*(R2^2 - R1^2)/2

= 1.5*3.14(0.9^2 - 0.1^2)/2

= 1.884

Direction is decided by the thumb rule using direction of current along thumb

It is into the plane of the paper

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