AP EAMCET Engineering 18 Sep 2020 Shift 2 Paper

Since, coil of inductance L is divided into four equal parts.
Hence, inductance of each part is same and equal to ‌

L

4

i.e., ‌‌L1=L2=L3=L4=‌

L

4

Since, L1,L2,L3 and L4 are connected in parallel. Hence, effective inductance L′ of the combination is given as
‌

1

L′

=‌

1

L1

+‌

1

L2

+‌

1

L3

+‌

1

L4

=‌

1

L∕4

+‌

1

L/4

+‌

1

L/4

+‌

1

L/4

=‌

4

L

+‌

4

L

+‌

4

L

+‌

4

L

⇒‌‌‌

1

L′

=‌

L6

LL

⇒L′=‌

L

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