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Question
A 200 turn circular coil of radius 2 cm is placed co-axially within a long solenoid of 3 cm radius. If the turn density of the solenoid is 90 turns per cm, then calculate mutual inductance of the coil and the solenoid.
Solution
Given data:
r2 = 2 cm, n2 = 200
r1 = 3 cm
n1 = 90 turns/cm
n1 = 9000 turns/m
M =?
M = μ0 n1 n2 A2 l
M = 4π × 10-7 × 280 × 9000 × π × 4 × 10-4 × 1
M = 4π × 10-6 × 18 × 4π
M = 2.839.56 × 10-6 H
M = 2.839 × 10-3 H
M = 2.84 mH
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