In the circuit shown in the figure, four identical resistors labeled A to D are connected to a battery as shown. S₁ and S₂ are switches. Which of the following actions would result in the GREATEST amount of current through resistor A? A) closing both switches B) closing S₁ only C) closing S₂ only D) leaving both switches open as shown.

Question

Quizplus · Accepted Answer

Closing both switches creates a parallel circuit between resistor A and the other three resistors. Parallel circuits have a lower overall resistance than series circuits, so more current will flow through the parallel circuit and through resistor A compared to when only one switch is closed or both switches are open. Therefore, closing both switches would result in the greatest amount of current through resistor A.

In the Circuit Shown in the Figure, Four Identical Resistors