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Q59
(NDA-I/2016)
Science & Technology › Basic Science (Physics, Chemistry, Biology) › Electricity and magnetism
Answer Verified
A given conductor carrying a current of 1 A produces an amount of heat equal to 2000 J. If the current through the conductor is doubled, the amount of heat produced will be
Result
Your answer:
—
·
Correct:
C
Explanation
According to Joule's law of heating, the heat (H) produced in a conductor is directly proportional to the square of the current (I), the resistance (R) of the conductor, and the time (t) for which the current flows, expressed as H = I²Rt [1]. This implies that if the resistance and time remain constant, the heat produced is proportional to the square of the current [1]. In the given scenario, the initial current is 1 A and the heat produced is 2000 J. When the current is doubled to 2 A, the factor of increase in heat is the square of the change in current (2² = 4). Therefore, the new amount of heat produced will be 4 times the original heat, which is 4 × 2000 J = 8000 J.
Sources
- [1] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > H = I2 > p. 189
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