Question

ULTER Consider the figure below. (Due to the nature of this problem, do not use rounded intermediate values in your calculations including answers submitted in WebAssign) C1 C2 C3 (a) Calculate the equivalent capacitance (in WF) for the circuit containing the capacitors shown above. The capacitors have values - 11.7 uF, C2 = 89.6 WF, and C - 55.9 F. The voltage across the points A and B is 1.57 V. Ceo (b) Calculate the total charge (in uc) in the circuit. 9,- luc (c) Calculate the charge (in C) on each capacitor pc Q2 - ис PC 9,- (d) Calculate the energy (in 3) stored in each capacitor E- E" J 3

Answer 1

HH C2 B th C3 C3= 55.9 MF, V=1.570 flere the capacitors are connected in parane combination. (a) Ceq = C + C2 + C₂ - Ceq = 11inder + 89.6 per & 55.9 ner Ceq = 157.2 ref (6) Totay Charge Q, = Ceq v =) Q = 157.2x106x x 1.57 Q, = 246.804x106c Q, : 246.8ou rec Given here C = 11.7 F C2 = 89.60F

Energy Stored in Capacitor formula is (C) Since the capacitors are connected in parallel Combination so voltage is Same in each capacitor. Q = C, v - Q, = 11.7 perx 1.57 10, = 18.369 nec Q2 = Cav - Q2 = 89.6810 6 x 1.57 1 Q2 = 140.672 rec Qz = Cav Q = 55.9 FX 1.57 Q3 = 87.763 dec (d) € i 2 Ź cv² E = 1/2 C, v² 5) E,- x 45.7 106 x (1.57)? 4 E = 14,419 x 10

Now E2 = 2 Cava - E2 = 1/2 x 89.64 10 6 (1.3732 = E2 = 110.427x100 J Ez = Cg v² -) €3 = 2 x 559x106x (1.577² 2 - Ez = 68.893x1067 les