Question

Constanta In the figure (Figure 1), each capacitor has 5.00 μF and Vab = 33.0 Figure 1 of 1 CL A. B. C. D. E. F. G. H. I. Calculate the charge on capacitor Ci. Calculate the potential difference across capacitor Ci. Calculate the charge on capacitor C2 Calculate the potential difference across capacitor C2. Calculate the charge on capacitor C3. Calculate the potential difference across capacitor C3 Calculate the charge on capacitor C4. Calculate the potential difference across capacitor C4. Calculate the potential difference between points g and d.

Answer 1

The capacitors 1 and 2 are connected in series. Then the expression for the equivalent capacitance of the capacitors 1 and 2 is, Calculate the equivalent capacitance of the capacitors 1 and 2 as follows: 1-11 = ĞC2 C2 e (5.00uF)(5.00uF) 5.00uF +5.00 uF = 2.5uF Now the equivalent capacitance of the capacitors 1 and 2 and the capacitor 3 are connected in parallel. Then the expression for the equivalent capacitance of the capacitors 1,2, and 3 is, C1.2)3 = C1,2 +C; Calculate the equivalent capacitance of the capacitors 1,2, and 3 as follows: C4.2)3 =C,2 +C

= 2.5 uF +5.00 uF = 7.5°F Now the equivalent capacitance of the capacitors 1,2, and 3 and the capacitor 4 are connected in series. Then the expression for the equivalent capacitance of the circuit is, = - +- C1,2,314 C(1,233 C4 Calculate the equivalent capacitance of the circuit as follows: 1 -1+1 C4.2.334 Cl.2)3 C4 C4.2)3C4 C4.2.314 – Closet C4 C1,2,3)4 = (7.5°F)(5.00uF) 7.5uF +5.00 uF = 3.0 uF The expression for the total charge in the circuit is, Q1 = C1,2,3)4V

Calculate the total charge in the circuit as follows: Q1 = C1,2,3,4V = (3.0 uF)(33.0V) = 99 uC The expression for the potential difference between the points b and d is, Calculate the potential difference between the points b and d as follows: 99uC 5.00uF = 19.8V The expression for the potential difference between the points a and b is, Vab = Vad + Ved The potential difference between the points a and b is, Vab = 33.0 V

Calculate the potential difference between the points a and d as follows: Vad =V ab - Vbd = 33.0 V-19.8V = 13.2 V (B) Calculate the potential difference across the capacitor 1 as follows: 13.2 V 2 = 6.6 V (A) Calculate the charge on the capacitor 1 as follows: Q = CV = (5.00uF)(6.6V) = 33uC

(D) Calculate the potential difference across the capacitor 2 as follows: 2 13.2 V 2 = 6.6 V (C) Calculate the charge on the capacitor 2 as follows: Q2 = C2V2 = (5.00uF)(6.6V) = 33 uC (F) The potential difference across the capacitor 3 is, V2 = Vad = 13.2V (E) Calculate the charge on the capacitor 3 as follows: Iz = CV

=(5.00 uF)(13.2V) = 66uC (H) The potential difference across the capacitor 4 is, V4 = Vod = 19.8V (G) Calculate the charge on the capacitor 4 as follows: Q4 = C4V4 = (5.00 uF)(19.8V) = 99 uc