3 10 points wired to a battery with V 160 V as shown in the

3. (10 points) wired to a battery with V- 16.0 V, as shown in the figure. What is the Three capacitors with capacitances C1-3.50 nf, C2- nE, c2 2.50 nF, and C3 -5.50nF are capacitor C2? What is the potential drop across 4. (15 points) A 4.00 103-nF paralilel plate capacitor is connected to a 14.0-V battery and charged a) What is the charge Q on the positive plate of the capacitor? b) What is the electric potential energy stored in the capacitor? The 4.00 103-nF capacitor is then disconnected from the 12.0-V battery and used to charge two uncharged capacitors, a 100-nF capacitor, a 200-nF capacitor, connected in series. e) After charging, what is the potential difference across each of the three capacitors?

Solution

3.

C₂ and C₃ are in parallel

C₂₃=2.5+5.5 =8 uF

C₁ and C₂₃ are in series ,so equivalent capacitance

1/C_eq = 1/3.5 + 1/8

C_eq = 2.43 uF

Total charge

Q=C_eqV=2.43*16 =38.96 uC

Voltage across C₂ is

V₂ =Q/C₂₃ = 38.96/8

V₂=4.87 Volts