Question

Three resistors of resistance r 2r and 3r are connected (1) in series, and (2) in parallel. Write expressions for the equivalent resistance of combination in each case

Answer 1

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Answer 2

let equivalent resistance be R,

then,

In series,

R = r1 + r2 + r3

R = r + 2r + 3r

R = 6r//

In parallel,

1/R = 1/r1 + 1/r2 +1/r3

1/R = 1/r + 1/2r + 1/3r

1/R = 6r + 3r + 2r/6r

R = 6/11

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