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Two coils of self-inductances 6mH and 8m...

Two coils of self-inductances 6mH and 8mH are connected in series and are adjusted for highest coefficient of coupling. Equivalent self-inductance L for the assembly is approximately

A

50 mH

B

36 mH

C

28 mH

D

18 mH

Text Solution

Verified by Experts

The correct Answer is:
C
It self-inductance of two coils are respecitvely `L_(1) and L_(2)` and their mutual inductance is M, then
`L=L_(1)+L_(2)+2M=L_(1)+L_(2)+2ksqrt(L_(1)L_(2))` [k = coefficient of coupling of the coils]
`=6+8+2xx1xxsqrt(6xx8)" "[because L_(1)=6mH,L_(2)=8mH" and highest value of k = 1"]`
`~~28mH`
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