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.......:

Options

A. 2 mA
B. 0.2 A
C. `4` A
D. 0 ampere

Answer

C

Explanation

Equivalent circuit just after closing use switch is

Just after switch is closed,
Capacitor (C ) behaves as short circuit and Inductor (L) behaves as open circuit
Current flows through `R_(2) and R_(3)` then equivalent resistance `1/R_(eq)=1/R_(2)+1/R_(3)rArrR_(eq)=(9xx9)/(9+9)=4.5Omega`
`i=E_(1)/R_(eq)=E_(2)/((R//2))=(2E_(1))/R=(2xx18)/9=4A`.