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Two co-axial circular coils of radii 50 ...

Two co-axial circular coils of radii 50 cm and 5 cm are separated by a distance of 50 cm and carry currents 3 A and 2 A respectively. Calcualte the mutual inductance of the two coils.

Text Solution

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Here, `R = 50 cm = 0.5 m`,
`r = 5 cm = 5 xx 10^(-2) m, x = 50 cm = 0.5 m`,
`I_(1) = 3 A, I_(2) = 2 A, M = ?`
`M* = (mu_(0))/(4 pi) xx (2 pi^(2) R^(2) r^(2))/((R^(2) + x^(2))^(3//2))`
` = (10^(-7) xx 2(3.14)^(2) (0.5)^(2) (5 xx 10^(-2))^(2))/([0.^(2) + 0.5^(2)]^(3//2))`
`M = 3.48 xx 10^(-9) H`
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