Question

Question 4 18 pts Five capacitors are connected purely in parallel. Three of them have same amount of charge stored in them (all have Q), the fourth capacitor has 5.3 times more charge than Q, and the fifth capacitor has 3.5 times less charge than Q li the equivalent capacitance of all the capacitors is 53 microfarads, what is the capacitance of the fifth capacitor in microfarads?

Any help with clearly organized calculations would be greatly appreciated :)

Answer 1

The equivalent capacitance is C_eq = 53 mu F C_1 = C_2 = C_3 = C The forth capacitance is C_4 = 5.3 C The fifth capacitance is C_5 = C/3.5 The equivalent capacitance is C_eq = C_1 + C_2 + C_3 + C_4 + C_5 = C + C + C + 5.3 C + C/3.5 53 = 8.59 C C = 6.17 mu F The fifth capacitance is C_5 = C/3.5 = 6.17/3.5 = 1.76 mu F