Question

Consider four circuits shown in the figure below. In which circuit power dissipated is greatest? (Neglect the internal resistance of the power supply).

• A. Circuit A
• B. Circuit B
• C. Circuit C
• D. Circuit D

Hint:

Maximum power when equivalent resistance is minimum.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
Power \(P = E^2/R_{eq}\), minimum R gives max power.
Step 2: Detailed Explanation:
Let each \(R = 1\ \Omega\)
A: \(R_{eq} = 0.5\ \Omega\), \(P = 2E^2\)
B: \(R_{eq} = 2\ \Omega\), \(P = 0.5E^2\)
C: \(R_{eq} = 1.5\ \Omega\), \(P = 0.67E^2\)
D: \(R_{eq} = 0.67\ \Omega\), \(P = 1.5E^2\)
A gives highest power.
Step 3: Final Answer:
Circuit A dissipates greatest power.