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Question 31682
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Current Electricity: Non-linear Device in Circuit MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Non-linear Device in CircuitHardQuestion 31682

Question

A device has I-V characteristic I = kV² (k = 0.01 A/V²). At V = 10 V, dynamic resistance (dV/dI) is:
  1. A
    5 Ω
    Correct
  2. B
    50 Ω
  3. C
    100 Ω
  4. D
    20 Ω

Correct answer

5 Ω

Explanation

dI/dV=2kV=2(0.01)(10)=0.2dI/dV=2kV=2(0.01)(10)=0.2 A/V. Hence dV/dI=1/0.2=<strong>5 Ω</strong>dV/dI=1/0.2=<strong>5\ Ω</strong>.

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