11.2 Problems
479
Fig. 11.13
11.89 Two square metal plates measuring ‘a’ on the side are used as a parallel
plate capacitor with the plates slightly inclined at an angle θ . If the smaller
gap between the plates is D, then show that the capacitance is given by
C =
ε 0 a 2
D
1 −
aθ
2D
11.90 Capacitors C 1 = 8 μF, C 2 = 4 μF and C 3 = 3 μF are arranged as in
Fig. 11.14. A voltage of V = 100 V is applied. Determine
(a) the potential difference across C 1 , C 2 and C 3 .
(b) the charge q 1 , q 2 and q 3 on C 1 , C 2 and C 3 .
(c) the energy U 1 , U 2 and U 3 stored in the capacitors.
Fig. 11.14
11.91 Capacitors C 1 = 8 μF, C 2 = 4 μF and C 3 = 3 μF are arranged as in
Fig. 11.15. A voltage of V = 100 V is applied. Determine
(a) the charges q 1 , q 2 and q 3 on C 1 , C 2 and C 3 , respectively.
(b) the potential difference across C 1 , C 2 and C 3 .
(c) the energy U 1 , U 2 and U 3 stored in the capacitors.
Fig. 11.15
11.92 Find the effective capacitance between points a and b in Fig. 11.16. Assume
that C 1 = C 2 = C 3 = C 4 = 2 μF and C 5 = 1 μF.