In the figure below, a potential difference V = 150 V is applied across a capaci
ID: 1706630 • Letter: I
Question
In the figure below, a potential difference V = 150 V is applied across a capacitor arrangement with capacitances C1 = 14.0 µF, C2 = 7.00 µF, and C3 = 2.00 µF. Find the following values.
(a) the charge on capacitor 3
(b) the potential difference across capacitor 3
(c) the stored energy for capacitor 3
(d) the charge on capacitor 1
(e) the potential difference across capacitor 1
(f) the stored energy for capacitor 1
(g) the charge on capacitor 2
(h) the potential difference across capacitor 2
(i) the stored energy for capacitor 2
Explanation / Answer
V = 150 V is applied across a capacitor arrangement with capacitances C1 = 14.0 µF, C2 = 7.00 µF, and C3 = 2.00 µF. (a) the charge on capacitor 3 Q3=V*C3=3e-4(C) (b) the potential difference across capacitor 3 its 150V (c) the stored energy for capacitor 3 E=U^2*C/2=2.25e-2(J) (d) the charge on capacitor 1 let Q1 be charge on capacitor 1. Q1=Q2. Q1/C1+Q2/C2=U so Q1*(1/C1+1/C2)=U so Q1=7e-4 (e) the potential difference across capacitor 1 U1=Q/C=50(V) (f) the stored energy for capacitor 1 E1=U1^2*C1/2=1.75e-2 (g) the charge on capacitor 2 Q2=Q1=7e-4 (h) the potential difference across capacitor 2 U2=150-50=100(V) (i) the stored energy for capacitor 2 E2=U2^2*C2/2=3.5e-2(J)