JAMB Physics 2003 Question 28

Question 28

Electrical Energy and Power

In the diagram above, if each of the resistors can dissipate a maximum of 18W without becoming excessively heated, what is the maximum power that circuit can dissipate?

Diagram for this question
  1. A.27W
  2. B.18W
  3. C.9W
  4. D.5W
Show the answer and explanation

Answer: A (27W)

Explanation

The series 2 Ω resistor carries the full current: 18 = I2 × 2 gives I = 3 A. Total resistance = 2 + 1 = 3 Ω, so P = I2R = 9 × 3 = 27 W.