What is the equivalent resistance when n identical resistors, each of resistance R, are connected in series, compared to when they are connected in parallel?
A. Series resistance is n² times the parallel resistance.
B. Series resistance is equal to the parallel resistance.
C. Series resistance is n times the parallel resistance.
D. Parallel resistance is n² times the series resistance.
Answer: Option A
Solution (By JKExamLibrary)
When n resistors of resistance R are in series, Rs = nR. When connected in parallel, Rp = R/n. To find the ratio, Rs / Rp = (nR) / (R/n) = n². Therefore, the series resistance is n² times the equivalent parallel resistance. This is a highly frequent numerical shortcut for exams.
This question belongs to:
Science
Physics
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