Solving Capacitor Circuits Practice Problems

Determine the charge stored on each capacitor and the voltage difference across them in the circuit shown in the figure below.

Consider a circuit consisting of 6 identical capacitors with capacitance C₀. connected as illustrated in the figure below. Determine the voltage difference V_M-V_N between points M and N in the circuit configuration.

In the circuit configuration shown below the switch is initially set to position 1, and capacitors C_B and C_C are devoid of any charge. Subsequently, the switch is flipped to position 2. As a result of this switch transition, the voltage across capacitor C_A drops to 6.0 V. Determine the electromotive force (ε) of the battery used in this circuit setup.

Consider two capacitors: the first capacitor has a capacitance (C₁) of 850 nF, and the second capacitor has a capacitance (C₂) of 400 nF. Initially, these capacitors are charged individually using a 14 V battery. The capacitors are isolated from the battery, maintaining the charge on the capacitor plates unchanged. Next, the two capacitors are connected in parallel, with the positive plate of each capacitor connected to the negative plate of the other capacitor. Determine the charge on each capacitor and the voltage difference across the capacitors when they are connected in parallel.

A circuit used to determine an unknown capacitance has three capacitors connected in series to a 12.0 V ideal power supply. The known capacitors have capacitances of 15 μF and 8.0 μF. The potential difference across the unknown capacitor is measured to be 9.0 V. Work out the capacitance of the unknown.

A physics student connects two identical parallel-plate capacitors with a capacitance of 4 μF to a battery with a voltage difference of 10 V, either in series or in parallel. The two plates are separated by a distance of 1mm.  Determine i) the ratio of the energy stored (U_series/U_parallel). ii) the ratio of the maximum amount of charge stored (Q_series/Q_parallel), and iii) the ratio of the electric field (E_series/E_parallel) between the two plates.

The three capacitors, C₁ = 9 µF, C₂ = 6 µF, and C₃ = 4 µF are arranged as illustrated in the figure below. A voltage source connected across the combination provides a potential difference, V_PS. Once the capacitors are fully charged, the charge on C₂ is 40 μC. Determine i) the charges Q₁ and Q₃ on each of the capacitors C₁ and C₃ and ii) the numerical value of V_PS. 

The figure below shows an electronic circuit section composed of four capacitors: C₁ = 16 µF, C₂ = 4 µF, C₃ = 8 µF, and C₄ = 8 µF. The circuit is connected between M and N to a battery with a voltage of 100 V. Find the charge stored on each of the capacitors C₁ and C₄.

Four capacitors with capacitances C₁ = 12 µF, C₂ = 6 µF, C₃ = 6 µF, and C₄ = 12 µF are wired to a battery with a potential difference of 8 V as shown in the figure. What is the total charge (Q) stored on the four capacitors?