44. Two circular coils of current-carrying wire have the same magnetic moment. The first coil has a radius of 0.088 m, has 140 turns, and carries a current of 4.2 A. The second coil has 170 turns and carries a current of 9.5 A. What is the radius of the second coil?

 

Magnetic moment of a coil is expressed by

 

 

The direction of the area is perpendicular to the area using the right hand rule with the direction of the current.

So for circular coils, the magnitude is

 

 

So equating two different coils

 

Solve for second radius

 

 

 

 

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This page last updated on June 21, 2018