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JEE Main202430 Jan 2024Evening ShiftPhysicsCurrent ElectricityActual

When a potential difference V is applied across a wire of resistance R , it dissipates energy at a rate W . If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the energy dissipation rate will become:

Options

  1. A1 4 W
  2. B1 2 W
  3. C2 W
  4. D4 W

Correct answer

D. 4 W

Step-by-step solution

For first case: V 2 R = W ...(i) Now, equivalent resistance of the combination will be R 2 × R 2 R 2 + R 2 = R 4 For second case: W ' = V 2 R 4 ...(ii) From (i) & (ii), we get W ' = 4 W

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