If the current through a conductor is doubled, what happens to the heat produced

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Question: If the current through a conductor is doubled, what happens to the heat produced in the conductor? (2020)

Options:

Correct Answer: It quadruples

Exam Year: 2020

Solution:

The heat produced is proportional to the square of the current (H ∝ I²), so if I is doubled, heat becomes 4 times.

If the current through a conductor is doubled, what happens to the heat produced in the conductor? (2020)

If the current through a conductor is doubled, what happens to the heat produced in the conductor? (2020)

Step 1: Understand that heat produced in a conductor is related to the current flowing through it.
Step 2: Remember the formula that relates heat (H) to current (I): H is proportional to the square of the current (H ∝ I²).
Step 3: If the current (I) is doubled, we can express this as I becomes 2I.
Step 4: Substitute 2I into the formula: H ∝ (2I)².
Step 5: Calculate (2I)²: (2I)² = 4I².
Step 6: This means the new heat produced (H') is 4 times the original heat (H), so H' = 4H.
Step 7: Conclude that if the current is doubled, the heat produced in the conductor becomes 4 times greater.

Joule's Law – The heat produced in a conductor is proportional to the square of the current flowing through it.