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  • A 250-turn rectangular coil of length 2.1 cm and width 1.25 cm carries a current of 85 µA and subjected to magnetic field of strength 0.85 T. Work done for rotating the coil by 180º agai

A 250-turn rectangular coil of length 2.1 cm and width 1.25 cm carries a current of 85 µA and subjected to magnetic field of strength 0.85 T. Work done for rotating the coil by 180º against the torque is.

Option: 1

4.55 \mu \mathrm{J}


Option: 2

2.3 \mu \mathrm{J}


Option: 3

1.15 \mu \mathrm{J}


Option: 4

9.1 \mu \mathrm{J}


Answers (1)

best_answer

Work done, \mathrm{W}=\mathrm{MB}\left(\cos \theta_1-\cos \theta_2\right)
When it is rotated by angle 180^{\circ} then
\mathrm{W}=\mathrm{MB}\left(\cos 0^{\circ}-\cos 180^{\circ}\right)=\mathrm{MB}(1+1) \\
\mathrm{W}=2 \mathrm{MB} \\
\mathrm{W}=2(\mathrm{NIA}) \mathrm{B} \\
=2 \times 250 \times 85 \times 10^{-6}\left[1.25 \times 2.1 \times 10^{-4}\right] \times 85 \times 10^{-2} \\
=9.1 \mu \mathrm{J}

Posted by

avinash.dongre

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