A 25 cm long solenoid has radius 2cm and 500 total number of turns. It carries a current of 15 A. If it is equivalent to a magnet of the same size and magnetization \vec{M}(magnetic moment/volume), then \left | \vec{M} \right |is

  • Option 1)

    3\pi Am^{-1}

  • Option 2)

    30000 Am^{-1}

  • Option 3)

    300 Am^{-1}

  • Option 4)

    30000\pi Am^{-1}

 

Answers (1)

As we learnt in

Magnetic moment (M) -

M=NiA

- wherein

N-number of turns in the coil 

i-current throughout the coil 

A-area of the coil 

 

 |\vec{M}|=\frac{NiA}{Al}=\frac{Ni}{l}=\frac{(500)\times 15}{25\times 10^{-2}}=30000\ Am^{-1}

 


Option 1)

3\pi Am^{-1}

Incorrect

Option 2)

30000 Am^{-1}

Correct

Option 3)

300 Am^{-1}

Incorrect

Option 4)

30000\pi Am^{-1}

Incorrect

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