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Physics

The current flowing through a conductor is 2 A at 50 V and 3 A at 60 V. Identify whether the conductor is ohmic or not.

Current Electricity

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Answer

Given,

  • I1 = 2 A
  • V1 = 50 V
  • I2 = 3 A
  • V2 = 60 V

To determine whether the conductor is ohmic, we check if it obeys Ohm’s law, which requires the ratio VI\dfrac{\text V}{\text I} to remain constant.

On applying Ohm's law i.e, V = IR,

At 50 V and 2 A :

R1=V1I1=502=25 Ω\text R1 = \dfrac{\text V1}{\text I_1} \\[1em] = \dfrac{50}{2} \\[1em] = 25\ \text Ω

At 60 V and 3 A :

R2=V2I2=603=20 Ω\text R2 = \dfrac{\text V2}{\text I_2} \\[1em] = \dfrac{60}{3} \\[1em] = 20\ \text Ω

Since the resistance is not constant (25 Ω ≠ 20 Ω), the conductor does not obey Ohm’s law.

Therefore, the conductor is non-ohmic.

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