# The equivalent inductance of the given circuit in the figure is : Option 1) 2 H Option 2) 6 H Option 3) 8/3 H Option 4) 4 H

As learnt in

Self Inductance -

An emf is induced in the coil or the circuit which oppose the change that causes it. Which is also known back  emf.

- wherein

2 H and 4 H are in parallel.

Their equivalent is   $\frac{2\times 4}{2+4} = \frac{4}{3}\ H$

$\frac{4}{3}\ H$  and $\frac{2}{3}\ H$  are in series, $\Rightarrow L_{eq} = \left ( \frac{2}{3}+\frac{4}{3} \right )H$

$L_{eq} = 2\ H$

Option 1)

2 H

This option is correct

Option 2)

6 H

This option is incorrect

Option 3)

8/3 H

This option is incorrect

Option 4)

4 H

This option is incorrect

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