Please show work 4. Four capacitors are connected in a circuit as shown in Figur

Question

Please show work

4. Four capacitors are connected in a circuit as shown in Figure 3 below:

a. What is the equivalent capacitance of the system?

b. What is the total charge in the circuit?

c. What is the charge on each capacitor?

d. What is the potential difference across each capacitor?

Four capacitors are connected in a circuit as shown in Figure 3 below: What is the equivalent capacitance of the system? What is the total charge in the circuit? What is the charge on each capacitor? What is the potential difference across each capacitor?

Explanation / Answer

a)

Cnet = 3*6/(3+6) + 2*4/(2+4) = 3.333*10^-6 F

b)

Q = Cnet*v = 200*10^-6 C



d) V2 = 40 volts, V4 = 20 volts

V3 = 40 volts, V6 = 20 volts

c)

Q2 = 2*40*10^-6 = 80*10^-6 C

Q4 = 4*20*10^-6 = 80*10^-6 C

Q3 = 40*3*10^-6 = 120*10^-6 C

Q4 = 20*6*10^-6 = 120*10^-6 C

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