two cells having self inductances l1 is 75mh and l2 is 55mh are coupled with each other. the coefficient of coupling is 0.75 calculate M
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Given Info : Two cells having self inductance L₁ is 75mH and L₂ is 55 mH are coupled with each other and the coefficient of coupling is 0.75.
solution : using formula, M = k√(L₁L₂)
here k = 0.75 , L₁ = 75 mH = 75 × 10¯³ H and L₂ = 55 × 10¯³ H.
now, M = 0.75√(75 × 10¯³ × 55 × 10¯³)
= 0.75 × 64.23 × 10¯³ H
= 48.17 × 10¯³ H
= 0.04817 H
Therefore the mutual inductance would be 0.04817 H
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