A coil of wire has an area of 2.0x10^-4m², consists of 100 loops or turns, and contains a current of 0.045 A. The coil is placed in a uniform magnetic field of magnitude 0.15 T. Determine the magnetic moment of the coil.

9.0 x 10^-2 Am²

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9.0 x 10^-3 Am²

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9.0 x 10^-4 Am²

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9.0 x 10^-5 Am²

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Solution

The correct option is (D) 9.0 x 10^-4 Am²

Given:

Area, A = 2.0x10^-4m²

Number of turns N = 100

Current I = 0.045 A

Magnetic field strength B = 0.15 T
We know,
Magnetic moment = $N \times I \times A$
Putting all the values
Magnetic moment = $100 \times 0.045 A \times 2 \times 10^{- 4} = 9 \times 10^{- 4}$ A $m^{2}$
Hence the correct option is (D)

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