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Two Resistors Having 2ω and 3ω Resistance Are Connected—(I) in Series, and (Ii) in Parallel. Find the Equivalent Resistance in Each Case.

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Question

Two resistors having 2Ω and 3Ω resistance are connected—(i) in series, and (ii) in parallel. Find the equivalent resistance in each case.

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Solution

Given: R1 = 2 Ω, R2 = 3 Ω

(i) In series : Equivalent resistance R = R1 + R2

or    R = 2 + 3 = 5 Ω

(ii) In parallel : Equivalent resistance R = `("R"_1"R"_2)/("R"_1 + "R"_2)`

or  R = `(2 xx 3)/(2 + 3) = 6/5 = 1.2 Omega`

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