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  • For two magnetically coupled coils,the self inductance of primary coil is  of secondary

For two magnetically coupled coils,the self inductance of primary coil is \frac{1}{4}th of secondary coil. Find the mutual inductance considering coefficient of coupling to be unity.

Option: 1

\frac{L_2}{2}


Option: 2

2L_1


Option: 3

Both (a) & (b)


Option: 4

None


Answers (1)

best_answer

As we learnt

 

Relation between M, L_{1] and L_{2} -

 

M= K\sqrt{L_{1}L_{2}}

K =coeffecient of coupling.

-

 

 

 

 M=K\sqrt{L_1L_2}

M=\sqrt{\frac{L_2}{4}L_2}\: \: \: \: \: \: \: \: \: \: \because L_1=\frac{L_2}{4}

M=\sqrt{\frac{L_{2}^{2}}{4}}

M=\frac{L_2}{2}

 

OR

 

M=K\sqrt{L_1L_2}

M=\sqrt{L_1*4L_1}\: \: \: \: \: \: \: \: \: \: \because L_1=\frac{L_2}{4}\Rightarrow L_2=4L_1

M=2L_1

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