For the capacitor network shown in [Figure 1). the potential difference across a

Question

For the capacitor network shown in [Figure 1). the potential difference across ab is 220 V Find the total charge stored in this network. Express your answer in microcoulombs to three significant figures. Find the charge on the 35 nF capacitor. Express your answers in microcoulombs to one decimal place. Find the charge on the 75 nF capacitor. Express your answers in microcoulombs to one decimal place. Find the total energy stored in the network. Express your answer in millijoules to three significant figures. Find the energy stored in the 35 nF capacitor. Express your answers in millijoules to two decimal places.

Explanation / Answer

let C1 = 35 nF, C2 = 75 nF

a) the charge on the network, Qnet = Cnet*V

= (C1 + C2)*V

= (35 + 75)*10^-9*220

= 2.42*10^-5 C

= 24.2 micro C

b) Q1 = C1*V

= 35*10^-9*220

= 7.7 micro C

c) Q2 = C2*V

= 75*10^-9*220

= 16.5 micro C

d) Unet = (1/2)*Cnet*V^2

= (1/2)*(35 + 75)*10^-9*220^2

= 2.66 mJ

e) U1 = (1/2)*C1*V^2

= (1/2)*(35)*10^-9*220^2

= 0.847 mJ

f) U2 = (1/2)*C2*V^2

= (1/2)*(75)*10^-9*220^2

= 1.82 mJ

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