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JEE Main202331 Jan 2023Evening ShiftPhysicsCurrent ElectricityActual

The H amount of thermal energy is developed by a resistor in 10 s when a current of 4 A is passed through it. If the current is increased to 16 A , the thermal energy developed by the resistor in 10 s will be

Options

  1. AH
  2. B16 H
  3. CH 4
  4. D4 H

Correct answer

B. 16 H

Step-by-step solution

Heat energy developed in the resistor due to current is given by, H = i 2 R t . Therefore ⇒ H ∝ i 2 (for t = constant) Now required ratio, H H ' = 4 16 2 ⇒ H ' = 16 H

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