JEE MAIN - Physics (2002 - No. 19)
The inductance between $$A$$ and $$D$$ is
$$3.66$$ $$H$$
$$9$$ $$H$$
$$0.66$$ $$H$$
$$1$$ $$H$$
Explanation
These three inductors are connected in parallel. The equivalent inductance $${L_P}$$ is given by
$${1 \over {{L_P}}} = {1 \over {{L_1}}} + {1 \over {{L_2}}} + {1 \over {{L_3}}}$$ $$ = {1 \over 3} + {1 \over 3} + {1 \over 3} = {3 \over 3} = 1$$
$${1 \over {{L_P}}} = {1 \over {{L_1}}} + {1 \over {{L_2}}} + {1 \over {{L_3}}}$$ $$ = {1 \over 3} + {1 \over 3} + {1 \over 3} = {3 \over 3} = 1$$
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