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You are given \( 5 m \) length of heating wire, it has resistance of \( 24 \Omega . \) It is cut into two and connected to 110 volt line individually. The total power for the two half lengths is:

1. 500 watts
2. 1000 watts
3. 2000 watts
4. 2500 watts

Correct answer: 500 watts

Solution

Halving a uniform wire halves its resistance, so each piece has 12 Ω. Each half on 110 V uses P = V²/R = 110²/12 W, and the two powers add to about 500 W total.

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