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.