Magnetic Effects & Magnetism

JEE Main level, single correct, medium

223 of 276

Question 223 of 276

A moving coil galvanometer has a coil with 175175 turns and area 1cm2.1c{m}^{2}. It uses a torsion band of torsion constant 10−6Nm/rad{10}^{-6}Nm/rad The coil is placed in a magnetic field B parallel to its plane. The coil deflects by 1o{1}^{o} for a current of 1mA1mA The value of B (in tesla) is approximately:

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Answer: (C) 10−3{10}^{-3}

For a moving coil galvanometer.
τ=iANB=cθ\tau =iANB=c\theta
B=cθiAN=10−610−4×(175)×(10−3)×π180B=\dfrac{c\theta }{iAN}=\dfrac{1{0}^{-6}}{1{0}^{-4}\times \left(175\right)\times \left(1{0}^{-3}\right)}\times \dfrac{\pi }{180}
B≈10−3TB\approx 1{0}^{-3}T

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