Physics · Electrical energy and power, electrical resistivity and conductivity
You are given length of heating wire, it has resistance of It is cut into two an
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:
- A. 500 watts
- B. 1000 watts
- C. 2000 watts
- D. 2500 watts
Step-by-step solution
The wire has total resistance 24 Ω for 5 m. Cutting into two equal halves gives each half resistance 12 Ω. Each half is connected to 110 V, so power per half is P = V^2/R = 110^2 / 12 ≈ 1008.33 W. Total power for both halves is about 2016.66 W, closest to 2000 W.
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