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If the current through a conductor is doubled, what happens to the heat produced
If the current through a conductor is doubled, what happens to the heat produced in the conductor? (2020)
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If the current through a conductor is doubled, what happens to the heat produced in the conductor? (2020)
It halves
It doubles
It quadruples
It remains the same
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The heat produced is proportional to the square of the current (H ∝ I²), so if I is doubled, heat becomes 4 times.
Questions & Step-by-step Solutions
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Q
Q: If the current through a conductor is doubled, what happens to the heat produced in the conductor? (2020)
Solution:
The heat produced is proportional to the square of the current (H ∝ I²), so if I is doubled, heat becomes 4 times.
Steps: 7
Show Steps
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.
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