# A circuit has a 5 V battery connected in series with a switch. When the switch is closed, the...

## Question:

A circuit has a 5 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 85 ohms in series with an inductor of inductance {eq}\rm 1.1 \times 10^{-2} \ H {/eq}, while the other has a resistor of resistance 270 ohms. What is the current supplied by the battery at a time t = 0 after the switch is closed?

## R-L Parallel Circuit:

The parallel RL circuit is generally of less interest than the series circuit unless fed by a current source. This is largely because the output voltage {eq}V_{out} {/eq} is equal to the input voltage {eq}V_{in} {/eq}. As a result, this circuit does not act as a filter for a voltage input signal.

Initial current of the inductor, {eq}I_L (0) = 0 A {/eq}

Final current of inductor, {eq}I_L (\inf) = \frac{5}{85} = 58.8 \space mA {/eq}...

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