Magnetic Effects & Magnetism

JEE Main level, single correct, medium

100 of 276

Question 100 of 276

A long solenoid has 200 turns per cm\mathrm{cm} and carries a current i\mathrm{i}. The magnetic field at its centre is 6.28×10−26.28 \times 10^{-2} Weber /m2/ \mathrm{m}^2. Another long solenoid has 100 turns per cm\mathrm{cm} and it carries a current i/3\mathrm{i} / 3. The value of the magnetic field at its centre is

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Answer: (B) 1.05×10−21.05 \times 10^{-2} Weber /m2/ \mathrm{m}^2

B2=B1n2i2n1i1=(6.28×10−2)(100×i/3)200(i)=1.05×10−2 W/m2B_2=\frac{B_1 n_2 i_2}{n_1 i_1}=\frac{\left(6.28 \times 10^{-2}\right)(100 \times i / 3)}{200(i)}=1.05 \times 10^{-2} \mathrm{~W} / \mathrm{m}^2

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