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Question

Two wires of equal length made up of the same material having different thickness carry equal amount of current. The amount of heat generated will be:

A
More in thicker wire
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B
More in thinner wire
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C
Equal in both wires
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D
Zero in both wires
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Solution

The correct option is B More in thinner wire

Amount of heat generated in a current carrying wire depends on the following factors:
1. Material of the wire
2. Length of the wire
3. Thickness of the wire
Here, both wires carrying equal amounts of current have equal length and are made up same material. Thus, thickness of wires will be the deciding factor for the comparison of the amount of heat generated in the wires.
Thinner the wire, more heat will be generated.
Hence, thinner wire will generate more heat.

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