A closely wound solenoid of 750 turns and area of cross-sectionof carries a current of 3.0A Its associated magnetic moment is?

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4.12 JT-1

3.12 JT-1

2.12 JT-1

1.13 JT-1

answer is D.

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Detailed Solution

Concept: The solenoid consists of a helically shaped coil of many turns and a long length. The magnetic moment of a coil is defined as the product of the current flowing through the coil and the area of the coil. Since the solenoid consists of a number of terms, all these terms will contribute to the magnetic moment.
In the given problem, the number of turns is 750, area of cross-section of the solenoid is

and the current flowing through the solenoid is 3.0A
So the magnetic moment associated with an object carrying a current i is given by, Magnetic Moment(μ)

. So if there are N turns associated with a coil like in a solenoid, each coil will produce a magnetic moment and the total magnetic moment can be written as,
Magnetic Moment(μ) =

Magnetic Moment(μ) =(750) ×(3.0A) ×

So the magnetic moment of a solenoid which is directed along the axis has a magnitude

.
Hence, option 4 is correct.

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