You connect two identical resistors in series across supply lines maintained at a constant potential difference.When you later connect them in parallel across the same supply lines,the total current furnished by the supply lines,compared with the former current,is
A)exactly the same.
B)twice as great.
C)one-half as much.
D)four times as great.
E)one-fourth as much.

Question

Quizplus · Accepted Answer

When two identical resistors are connected in series, the total resistance is the sum of both resistors (R_total = R + R = 2R). When connected in parallel, the total resistance is halved (R_total = R/2). Since the voltage remains constant and according to Ohm's law (V = IR), halving the resistance quadruples the current. Therefore, the total current when the resistors are in parallel is four times as great as when they are in series.

You Connect Two Identical Resistors in Series Across Supply Lines