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

Question

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

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

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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`

4 views Answered 2023-02-05 15:29