What is the voltage across C1? Express your answer with the appropriate units. C

Question

What is the voltage across C1? Express your answer with the appropriate units. Constants In (Figure 1) C1 = 3.00 nnF , C2 = 7.00 1nF?C3 = 12.0 and C4 6.00 mF The capacitor netvork is connected to an applied potential difference Vab. After the c their final values, the voltage across 3 is 40.0 s on the capacitors have reached VValue Units Submit equest Ans ? Part B What is the voltage acrossC2? Express your answer with the appropriate units. V2Value Units Submit Request Answer ? Part C What is the voltage across C4? Express your answer with the appropriate units. Figure 1 of 1> V4Value Units C1 C2 Submit equest Ans C. Part D What is the voltage a applied to the network? Express your answer with the appropriate units.

Explanation / Answer

a)

V3 = Voltage across C3 = 40 Volts

Since C3 and series combination of C1 and C2 are in parallel,

V12 = Voltage across the combination of C1 and C2 = V3 = 40 Volts

C12 = series combination of C1 and C2 = C1 C2? /(C1 + C2?) = 3 x 7/(3 + 7) = 2.1 mF

Q12 = charge flowing in the branch containing C1 and C2 = C12 V12 = 2.1 x 40 = 84 mC

in series , charge remain same , hence

Q1 = charge in C1 = Q2 = charge in C2 = Q12 = 84 mC

V1 = Voltage across C1 = Q1 /C1 = 84/3 = 28 Volts

B)

V2 = Voltage across C2 = Q2 /C2 = 84/7 = 12 Volts

C)

Q3 = charge in C3 = C3 V3 = 12 x 40 = 480 mC

Q4 = charge in C4 = Q3 + Q12 = 480 + 84 = 564 mC

V4 = Voltage in C4 = Q4 /C4 = 564/6 = 94 Volts

D)

Vab = V3 + V4 = 40 + 94 = 134 Volts

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