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In (Figure 1) , each capacitor has C = 4.30 F and V ab =33.0V . Calculate the ch

ID: 1586848 • Letter: I

Question

In (Figure 1) , each capacitor has C = 4.30 F and V ab =33.0V .

Calculate the charge on C 1   .

Express your answer in microcoulombs to three significant figures.

Calculate the charge on C 2   .

Express your answer in microcoulombs to three significant figures.

Calculate the charge on C 3

Express your answer in microcoulombs to three significant figures.

Calculate the charge on C 4 .

Express your answer in microcoulombs to three significant figures.

Calculate the potential difference across C 1   .

Express your answer in volts to three significant figures.

Calculate the potential difference across C 2 .

Express your answer in volts to three significant figures.

Calculate the potential difference across C 3   .

Express your answer in volts to three significant figures.

Calculate the potential difference across C 4   .

Express your answer in volts to three significant figures.

Explanation / Answer

a) Charge on C1

The voltage difference Vad = (2/5)*vab = 0.4*33 = 13.2 V and Vdb = 19.8 V.

Charge on C1 = Vad*(C1 series C2) = Vad*C/2 = 13.2*4.3/2 = 28.38 uC.

b) Charge on C2 = charge on C1 = 28.38 uC (because both are in series).

c) Charge on C3 = Vad*C = 56.76 uC

d) Charge on C4 = vdb*C = 19.8*4.3 = 85.14 uC

e) Potential difference across C1 = Vad/2 = 6.6 V

f) Potential difference across C2 = Vad/2 = 6.6 V

g) Potential difference across C3 = vad = 13.2 V

h) Potential difference across C4 = vdb = 19.8 V