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Question

Question: The inductance of a solenoid 0.5 m long of cross-sectional area 20 cm<sup>2</sup> and with 500 turns...

The inductance of a solenoid 0.5 m long of cross-sectional area 20 cm2 and with 500 turns is

A

12.5 mH

B

1.25 mH

C

15.0 mH

D

0.12 mH

Answer

1.25 mH

Explanation

Solution

L=μ0N2Al=4π×107×(500)2×20×1040.5L = \frac{\mu_{0}N^{2}A}{l} = \frac{4\pi \times 10^{- 7} \times (500)^{2} \times 20 \times 10^{- 4}}{0.5}=1.25mH