Two metallic wires A and B are made using copper. The radius of wire A is r while its length is l. A dc voltage V is applied across the wire A, causing power dissipation, P. The radius of wire B is 2r and its length is 2l and the same dc voltage V is applied across it causing power dissipation P₁. Which one of the following is the correct relationship between P and P₁?
- A.P = 2P₁
- B.P = P₁/2
- C.P = 4P₁
- D.P = P₁
Show answer
Wire B has half the resistance of wire A, and at the same voltage power is V²/R, so B dissipates twice the power: P₁ = 2P, which means P = P₁/2.
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