Question

A circuit has a 2.9 V battery connected in series with a switch. When the switch...

A circuit has a 2.9 V battery connected in series with a switch. When the switch is closed, the battery powers two paths in parallel, one of which has a resistor of resistance R1 = 80 Ω in series with an inductor of inductance L = 1×10−2 H , while the other has a resistor of resistance R2 = 230 Ω . What is the current supplied by the battery at a time t = 0.25 ms after the switch is closed? What is the current i1 supplied by the battery a time t = 0.25 ms after the switch is closed? Express your answer in amperes to three significant figures.

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Answer #1

The circuit can be drawn as

Applying Kirchhoff's voltage law to first loop,

solution of above equation is  

Applying Kirchhoff's voltage law to outer loop,

Current through battery at any time is

At time

Current through battery is

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