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1. Capacitors of C1 = 10 micro-farads, C2 = 9 micro-farads, and C3 = 5 micro-far

ID: 1595856 • Letter: 1

Question

1. Capacitors of C1 = 10 micro-farads, C2 = 9 micro-farads, and C3 = 5 micro-farads are connected purely in series to a 7 volt battery. What is the stored energy in C2 in micro-joules?

2. A 4 kilo-ohm resistor and a 4 micro-farad capacitor are connected in series to a 24 volt battery. After 15 milli-seconds, the battery is disconnected. What is the voltage across the resistor, 3 milli-seconds after the battery has been disconnected in volts?

Capacitors of C1 = 10 micro-farads, C2 = 9 micro-farads, and C3 = 5 micro-farads are connected purely in series to a 7 volt battery. What is the stored energy in C2 in micro-joules? A 4 kilo-ohm resistor and a 4 micro-farad capacitor are connected in series to a 24 volt battery. After 15 milli-seconds, the battery is disconnected. What is the voltage across the resistor, 3 milli-seconds after the battery has been disconnected in volts?

Explanation / Answer

1 )

in series combination , equivalent capacitance

1/Ceq = 1/C1 + 1/C2 + 1/C3 + ....+1/Cn

here we have 3 capacitors

C1 = 10 x 10^-6 F

C2 = 9 x 10^-6 F

C3 = 5 x 10^-6 F

Ceq = 2.43 microF = 2.43 x 10^-6 F

Q = Ceq*V = 1.7 x 10^-5 C

in series combination charge remain same on all capacitor

E2 = Q^2/2C

E2 = 1.6 x 10^5 J