Three capacitors are connected in series across a DC power source that produces

Question

Three capacitors are connected in series across a DC power source that produces a constant potential difference. A fourth capacitor is now added in series with the other three. As a result of adding this capacitor, the total energy stored in the system of capacitors has a) increased. b) decreased. c) stay the same. A capacitor C, a resistor R and a battery with EMF are connected in series to the charge the capacitor. In order to increasing the charging speed, you can a) increase R b) decrease R c) decrease EMF

Explanation / Answer

(3) When we add fourth capacitor in series of others then total capacitance decreases

and using U = 1/2CV2 we can see that energy stored in the system will decrease

(4) We will decrease R so that current in the circuit can increase so charge passing through the circuit per unit time will become greater

so option b is correct

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