In the capacitor network shown, C₁ = 2 μF, C₂ = 0.2 μF, C₃ = 2 μF, C₄ = 4 μF, C₅ = 2 μF and C₆ = 2 μF. The charge on C₄ i $s ______$ μC.

Question

In the capacitor network shown, C₁ = 2 μF, C₂ = 0.2 μF, C₃ = 2 μF, C₄ = 4 μF, C₅ = 2 μF and C₆ = 2 μF. The charge on C₄ i s ______ μC.

G1 Physics · Accepted Answer

From the circuit reduction, the equivalent capacitance seen by the 10 V source is 0.5 μF. Total series charge Q = C(eq)V = 0.5×10 = 5 μC. At the relevant division, the 0.8 μF equivalent branch is in series with 0.2 μF, so the charge associated with the 0.8 μF side is Q' = 5×0.8/(0.8+0.2) = 4 μC. Thus charge on C₄ is 4 μC. Final value: 4