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Figure shows a circuit that contains thr...

Figure shows a circuit that contains three identical resistors with resistance `R=0.9 Omega` each, two identical inductors with inductance `L=2.0 mH` each, and an ideal battery with emf `epsilon=18 V`. The current `i` through the battery just after the switch closed is.......:

A

`2 mA`

B

0.2A

C

2A

D

0.A

Text Solution

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Thinking process just after switch is closed , inductor acts like an open Switch (open path) and capacitor acts like a closed switch (closed path ) because in D.C circuit inductive resistacne becomes zero.
Just after switch is closed, given circuit is equivalent to the circuit shown below

So, equivalent resistor =(R)/(2)=(9)/(2)ohms
Battery emf, V =18 volts
`therefore Current in circuit = (V)/(R) =(18xx2)/(9)=4 A`
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