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NEET2001PhysicsCurrent ElectricityActual

A metal rod consumes power P on passing current. If it is cut into two half and joined in parallel, it will consume power

Options

  1. AP
  2. B2 P
  3. C4 P
  4. DP / 4 .

Correct answer

C. 4 P

Step-by-step solution

Let the resistance of the rod be R . If the rod is divided into two equal parts, then each part of the rod will have a resistance of R / 2 . Now these two parts of the rod are connected in parallel and a voltage V is applied across them. Hence the total power consumed is P^ = V^2 R / 2 + V^2 R / 2 =4 V^2 R =4 P where P= V^2 R is the power consumed by the original rod when voltage V is applied across it.

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