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Two coils having self inductances L1 = 75 mH and L2 = 55 mH are coupled with each other. The coefficient of coupling (K) is 0. 75. Calculate the mutual inductance (M) of the two coils

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Question

Two coils having self inductances L1 = 75 mH and L2 = 55 mH are coupled with each other. The coefficient of coupling (K) is 0. 75. Calculate the mutual inductance (M) of the two coils

Numerical
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Solution

Given: L1 = 75 mH, L2 = 55 mH, K = 0.75

To find: M =?

Formula: 

`M = K sqrt(L_1L_2)`

= `0.75 sqrt (75xx75)`

= `0.75 xx sqrt 4125`

= 0.75 x 64.23

= 48. 17mH

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