Question

Consider the circuit shown in the figure below. Calculate the voltage across the capacitor Co assuming the following potential source and capacitor values: 12.0 V Cr = 1.56 μF , C5 = 4.57 μF , C6 = 10.0 μF C3 Vo C4 С5 Cs

Answer 1

The capacitors C_4, C_5, C_6 are parallel. The voltage at the capacitors C_4, C_5, C_6 is same. \r\n Determine the capacitance C_12 From figure, the capacitors C_1, C_2 are in series. C_12 = C_1 C_2/C_1 + C_2 Substitute 4.0 mu F for C_1, and 4.0 mu F for C_2 in equation. C_12 = (4.0 mu F) (4.0 mu F)/4.0 mu F + 4.0 mu F = 2.0 mu F \r\n Determine the capacitance C_123. The capacitance C_12 and C_3 are parallel. The capacitors C_4, C_5, C_6 are parallel. C_123 = C_12 + C_3 = 2 mu F + 3 mu F = 5 mu F C_456 = C_4 + C_5 + C_6 = 1.56 mu F + 4.57 mu F + 10.0 mu F 16.13 mu F The capacitance C_123 and C_456 are in series C_eq = (5.0 mu F) (16.13 mu F)/5.0 mu F + 16.13 mu F = 3.81 mu F \r\n Determine the charge. Q = C_eq