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Q.

The iron core of a solenoid has a length of 40 cm and a cross-section of 4.0 cm x cm, and is wound with 10 turns of wire per cm of length. Compute the inductance of the solenoid, assuming the relative permeability of the iron to be constant at 500.

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Detailed Solution

L=μrμ0n2Al=500×4π×10−7×106×4×10−4×40×10−2=0.1 H

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The iron core of a solenoid has a length of 40 cm and a cross-section of 4.0 cm x cm, and is wound with 10 turns of wire per cm of length. Compute the inductance of the solenoid, assuming the relative permeability of the iron to be constant at 500.