(a) Find the total charge stored in thisnetwork. 1 µC (b) Find the charge on eac
ID: 1665222 • Letter: #
Question
(a) Find the total charge stored in thisnetwork.1 µC
(b) Find the charge on each capacitor. Q1 = 2 µC Q2 = 3 µC
(c) Find the total energy stored in the network.
4 mJ
(d) Find the energy stored in each capacitor. U1 = 5 mJ U2 = 6 mJ
(e) Find the potential difference across each capacitor. V1 = 7 V V2 = 8 V Q1 = 2 µC Q2 = 3 µC For the capacitor network shown in the following figure, thepotential difference across ab is 230 V. (Let C1 = 50 nF, C2 = 70 nF.) (a) Find the total charge stored in thisnetwork (b) Find the charge on each capacitor. (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. For parallel capacitors, Ctotal = C1 + C2 + ... Thus, in this case, C = 120nF Now, Q = VC = 230V * 120nF = 27.6 C (1) b. Again,Q = VC, thus: Q1 = 11.5 C (2) Q2 = 16.1 C (3) c. E = 1/2 * VC2 = 1/2 * QV Etotal = 27.6 C * 230/2 = 3.174 mJ (4) d. E1 = 11.5 C * 230V/2 = 1.322 mJ (5) E2 = 16.1 C * 230V/2= 1.852 mJ (6) e. As this is parallel network, the potential difference acrossboth capacitors is the same. 230V (7, 8)
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