A 5 μF capacitor is connected in the shown circuit with a 2.5 V cell of internal resistance 0.5 Ω. Find the charge on the capacitor in steady state.
Options

Question

A 5 μF capacitor is connected in the shown circuit with a 2.5 V cell of internal resistance 0.5 Ω. Find the charge on the capacitor in steady state.

G1 Physics · Accepted Answer

In steady state the capacitor is open. Find the DC node potentials from the resistor network including the 0.5 Ω internal resistance. The capacitor settles to 2 V, so Q=CV=5 μF×2 V=10 μC. Correct answer: C.