Three capacitors C, = 10.1 µF, C, = 22.0 µF, and Cz = 29.3 µF are connected in parallel. To avoid breakdown of the capacitors, the maximum charge any one of them can individually hold is 1500 µC. (a) Determine the total maximum charge in the parallel combination. mc (b) Determine the maximum energy stored in the parallel combination.

In the figure a 27 V battery is connected across capacitors of capacitances C₁ = C6 = 4.5 µF and C3 = C₁ = 2.5C₂ = 2.5C4 = 6.0 μF. What are (d) q1 of capacitor 1, (e) V₂ and (f) q2 of capacitor 2, and (g) v3 and (h) 93 of capacitor 3? C4 C3 # C₁ C₁

A dielectric-filled parallel-plate capacitor has plate area A = 10.0 cm2cm2 , plate separation d = 5.00 mmmm and dielectric constant k = 4.00. The capacitor is connected to a battery that creates a constant voltage V = 15.0 VV . Throughout the problem, use ϵ0 = 8.85×10−12 C2/N⋅m2C2/N⋅m2 . The dielectric plate is now slowly pulled out of the capacitor, which remains connected to the battery. Find the energy U2 of the capacitor at the moment when the capacitor is half-filled with the dielectric. The capacitor is now disconnected from the battery, and the dielectric plate is slowly removed the rest of the way out of the capacitor. Find the new energy of the capacitor, U3. In the process of removing the remaining portion of the dielectric from the disconnected capacitor, how much work is done by the external agent acting on the dielectric?

In the figure a potential difference of V = 104 V is applied across a capacitor arrangement with capacitances C₁ = 10.2 μF, C₂ = 6.76 μF, and C3 = 3.96 µF. If capacitor 3 undergoes electrical breakdown so that it becomes equivalent to conducting wire, what is the increase in (a) the charge on capacitor 1 and (b) the potential difference across capacitor 1? (a) Number i 856.8E-6 Units C (b) Number i 84 Units V C2

Two capacitors, C₁ = 6.00 μF and C₂ = 13.0 μF, are connected in parallel, and the resulting combination is connected to a 9.00-V battery. (a) Find the equivalent capacitance of the combination. UF (b) Find the potential difference across each capacitor. V₁1 V₂ = = (c) Find the charge stored on each capacitor. Q₁ UC μC = Q₂ V V =

Q.3: Four capacitors are arranged in the following configuration: the capacitances of capacitors are Ci= 3.0µF, C2= 2.0µF, C3= 1.8µF, C4= 3.0µF. The battery voltage is 12.0V. (a) Calculate the equivalent capacitance of the configuration. (b) How much energy is stored in this capacitor configuration? (c) How much energy is stored in capacitor C1? C1

In the figure below, capacitor 1 (C₁ Q₂ C₁ = = (a) Find the final charge on each capacitor after a long time has passed. с C 30.0 μF) initially has a potential difference of 55.0 V and capacitor 2 (C₂ = 5.10 μF) has none. The switches are then closed simultaneously. (b) Calculate the percentage of the initial stored energy that was lost when the switches were closed. %

In the figure a potential difference of V = 106 V is applied across a capacitor arrangement with capacitances C₁ = 10.7 μF, C₂ = 6.06 μF, and C3 = 4.66 µF. If capacitor 3 undergoes electrical breakdown so that it becomes equivalent to conducting wire, what is the increase in (a) the charge on capacitor 1 and (b) the potential difference across capacitor 1? (a) Number (b) Number IN i Units Units C3 C₂

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In the figure the battery has potential difference V = 13.0 V, C₂ = 3.50 μF, C4 = 4.90 μF, and all the capacitors are initially uncharged. When switch S is closed, a total charge of 14.0 μC passes through point a and a total charge of 7.00 µC passes through point b. What are (a) C₁ and (b) C3? V (a) Number i 4.895e-6 (b) Number i 1.85e-6 S C₁ C₂₂ a C₁ Unit Unit F F C₁