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Question

Two resistors r1 & r2 (r1 < r2 ) are joined in parallel. The equivalent resistance R is such that (1) R > r1 + r2 (2) r2 < R < r1 + r2 (3) r1 + R < r2 (4) R < r

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Solution

Dear Student,
When two resistors r1 and r2 are joined in parallel combination to give equivalent resistance R we get-
1R=1r1+1r21R=r1+r2r1r2R=r1r2r1+r2if r1 = r2 = rR=r22r=r2It means R<r
Thus in case of parallel combination the equivalent resistance (R) is always less than the individual resistance i.e. r1 and r2.
Regards

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