For the capacitor network shown in the following figure, the potential differenc
ID: 1414861 • Letter: F
Question
For the capacitor network shown in the following figure, the potential difference across ab is 170 V. (Let C1 = 55 nF, C2 = 90 nF.)
For the capacitor network shown in the following figure, the potential difference across ab is 170 v. (Let C1 = 55 nF, C2-90 nF) CI (a) Find the total charge stored in this network. lie. (b) Find the charge on each capacitor. th (c) Find the total energy stored in the network. (d) Find the energy stored in each capacitor. (e) Find the potential difference across each capacitor.Explanation / Answer
a)
C1 and C2 are parallel to each other
C = C1 + C2
C = 55 + 90
C = 145 nF
C = Q/V
Q = CV
Q = 145 x 10^9 F x 170 V
Q = 2.47 x 10^-5 C
Q = 24.7 uC
b)
Q1 = C1V = 55 x 10^-9 F x 170 V = 9.35 uC
Q2 = C2V = 90 x 10^-9 F x 170 V = 15.3 uC
c)
E = 1/2CV^2
E = 0.5 x 145 x 10^-9 x (170)^2
E = 2.095 mJ
d)
U1 = 1/2C1V^2 = 0.5 x 55 x 10^-9 x 170^2 = 0.7948 mJ
U2 = 1/2C2V^2 = 0.5 x 90 x 10^-9 x 170^2 = 1.3 mJ
e)
Q = CV = 24.7 uC
V1 = Q/C1 = 24.7 uC / 55 nF = 449 V
V2 = Q/C2 = 24.7 / 90 = 274.44 V