Chapter 18, Problem 9P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# Two resistors connected in series have an equivalent resistance of 690 Ω. When they are connected in parallel, their equivalent resistance is 150 Ω. Find the resistance of each resistor.

To determine
The resistance of the individual resistor.

Explanation

Given Info: The equivalent resistance of the two resistors connected in series and parallel is RS=690â€‰Î© and RP=150â€‰Î© .

Explanation:

If the two resistors are connected in series, then the equivalent resistance is,

RS=R1+R2

• RS is the equivalent resistance of the series combination of resistors,
• R1 and R2 is the resistors connected in series,

Rewrite the equation (1) in terms of R2 .

If the two resistors are connected in parallel, then the equivalent resistance is,

1RP=1R1+1R2

• RP is the equivalent resistance of the parallel combination of resistors,
• R1 and R2 is the resistors connected in parallel,

Rearrange the above relation of equivalent resistance as,

RP=R1R2R1+R2

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