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GK QUESTION#2948

Two positive ohmic resistances R1 and R2 are connected in parallel across the same nonzero potential difference. If R1 is less than R2, what can be inferred about the branch currents?

  1. ACurrent through R1 is less than through R2.
  2. BCurrent through R1 is equal to current through R2.
  3. CCurrent through R1 is greater than through R2.Correct answer
  4. DThe current ratio depends on the supply voltage.
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Answer

C. Current through R1 is greater than through R2.

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Explanation

Both parallel branches have the same potential difference. With positive ohmic resistances, I = V/R gives I1/I2 = R2/R1. Hence the smaller resistance R1 carries the larger current for a nonzero applied voltage.

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