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The combined resistance R of two resistors R1 and R2 (R1, R2 > 0) is given by RRR1R=1R1+1R2. If R1 + R2 = C (a constant), then maximum resistance R is obtained if ____________.

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Question

The combined resistance R of two resistors R1 and R2 (R1, R2 > 0) is given by `1/"R" = 1/"R"_1 + 1/"R"_2`. If R1 + R2 = C (a constant), then maximum resistance R is obtained if ____________.

Options

  • R1 > R2

  • R1 < R2

  • R1 = R2

  • None of these

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Solution

The combined resistance R of two resistors R1 and R2 (R1, R2 > 0) is given by `1/"R" = 1/"R"_1 + 1/"R"_2`. If R1 + R2 = C (a constant), then maximum resistance R is obtained if R1 = R2.

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