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CBSE Class 12-science Answered

Please explain the sin cos vector distribution
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Asked by prakriti12oct | 04 Oct, 2019, 01:07: PM
answered-by-expert Expert Answer
 
Torque τ acting on the needle, τ = μ × B = μ B sin30  ................. (1)
 
Torque required for the applied force = r × F = (l/2)×F×cos30  ................(2)
 
where μ is magnetic moment, B is vertical component of earths magnetic field, l is length of magnet.
 
Torques given by both the above equations balance each other to keep the needle at 30º angle with vertical.
 
From eqn.(1) and (2),  F = ( μ×B ) tan30 /(l/2)  = 10×40×10-6 / [ ( 2/2) × √3 ] = 23 × 10-2 N
Answered by Thiyagarajan K | 04 Oct, 2019, 02:10: PM

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