# Problem: The switch in the figure has been open for a long time. It is closed at t = 0s.(a) What is the current through the battery immediately after the switch is closed?(b) What is the current through the battery after the switch has been closed a long time?

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###### FREE Expert Solution

$\overline{){\mathbf{V}}{\mathbf{=}}{\mathbf{I}}{\mathbf{R}}}$

Parallel resistors,

$\overline{)\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{e}\mathbf{q}}}{\mathbf{=}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{1}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{2}}}}$

PART A)

The inductor has infinite resistance immediately after the switch is closed. Thus, it acts as an open circuit.

###### Problem Details

The switch in the figure has been open for a long time. It is closed at t = 0s.

(a) What is the current through the battery immediately after the switch is closed?
(b) What is the current through the battery after the switch has been closed a long time?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the LR Circuits concept. You can view video lessons to learn LR Circuits. Or if you need more LR Circuits practice, you can also practice LR Circuits practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Liu's class at PITT.