When two identical resistors are connected in parallel,the equivalent resistance,compared with that of the same two resistors connected in series,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 parallel, the equivalent resistance is given by the formula:
1/Req = 1/R1 + 1/R2
Since R1 = R2, we can write this as:
1/Req = 1/R + 1/R
Simplifying this, we get:
1/Req = 2/R
Multiplying both sides by R, we get:
Req = R/2 
Therefore, the equivalent resistance is one-half as much as that of the same two resistors connected in series.

When Two Identical Resistors Are Connected in Parallel,the Equivalent Resistance,compared