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Self Induction

A closed circ...

Question

A closed circuit consists of a resistor $R$ , inductor of inductance $L$ and a source of emf $E$ are connected in series. If the inductance of the coil is abruptly decreased to $L / 4$ (by removing its magnetic core), the new current immediately after this moment is : (before decreasing the inductance the circuit is in steady state)

A

Z e r o

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B

\frac{E}{R}

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C

4 \frac{E}{R}

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D

\frac{E}{4 R}

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Solution

The correct option is C $4 \frac{E}{R}$

We know
L/R=const
$\frac{L}{R} = \frac{14}{R_{1}}$
$R_{1} = R_{4}$
$i = \frac{e}{R_{1}} = 4 \times \frac{E}{R}$

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