A large circular coil, of radius R, and a small circular coil, of radius r are put in vicinity of each other. If the coefficient of mutual induction, for this pair, equals 1 mH, what would be the flux linked with the large coil when a current of 0.5A flows through the small coil?
When the current in the smaller coil falls to zero, what would be its effect in the larger coil?

Solution

Given,
A large circular coil of radius R and a small circular coil of radius r.
Coefficient of mutual inducatnce, $M = 1 mH = 1 \times 10^{- 3} H$
Current flowing through the small coil, I = 0.5 A

$∴$ Flux linked with the larger coil, $ϕ = MI$
$ϕ = \frac{10^{- 3}}{0.5} = \frac{10 \times 10^{- 3}}{5} = 2 \times 10^{- 3} wb / Am$

If the current through the small coil falls to zero then the induced current in the larger coil becomes zero.

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