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Question

Question: A circular coil of radius 5 *cm* has 500 turns of a wire. The approximate value of the coefficient o...

A circular coil of radius 5 cm has 500 turns of a wire. The approximate value of the coefficient of self induction of the coil will be

A

25 millihenry

B

25 × 10–3millihenry

C

50 × 10–34millihenry

D

50 × 10–3henry

Answer

25 millihenry

Explanation

Solution

By using L=πμ0N2r2L = \frac{\pi\mu_{0}N^{2}r}{2};

L=(3.14)×4×(3.14)×107×(500)2×5×102225×103H25mHL = \frac{(3.14) \times 4 \times (3.14) \times 10^{- 7} \times (500)^{2} \times 5 \times 10^{- 2}}{2} \approx 25 \times 10^{- 3}H \approx 25mH