Establish the formula of equivalent capacitor for three capacitors in series combination.

Through a capacitor

The capacitances of three capacitors are in the ratio of 1 : 2 : 3. The difference in the equivalent capacitances for their series and parallel combinations is 6 mu F . What are the capacitances of the capacitors?

The ratio of three resistances is 1:2:3 if the greatest resistance be 12 ohm then what will be the equivalent resistance of the three resistances in their (i) series combination and (ii) Parallel combination?

A potential difference of 20V is applied across a parallel combination of three identical capacitors. If the total charge in the combination be 30C, determine the capacitance of each capacitor. What will be the charge in the series combination of these three capacitors with the same potential difference?

Prove that the equivalent capacitance of two capacitors of the same capacitance connected in parallel is four times the equivalent capacitance when they are connected in series.

Show that the equivalent capacitance for a series combination of capacitors is always less than even the least capacitance in the series.

Two capacitors of capacitances 0.5 mu F and 0.75 mu F are connected in parallel. A potential difference of 600 V is applied to this combination. What are the charges on the two capacitors? Now, the two capacitors are connected in series and the same potential difference is applied. Find out the charges on the capacitors in this case.

The equivalent resistances of two resistances in parallel combination is one-fourth of their equivalent resistance in series combination.If one of the resistance is 10 Omega then find the other.

A capacitor C_1 of capacitance 5muF is charged to a potetntial of 100V and another capacitor C_2 of capacitance 8muF is charged to 50V. The positive and negative plates are mutually connected. Amount of charge of the capacitor C_1 after combination will be

A capacitor C_1 of capacitance 5muF is charged to a potetntial of 100V and another capacitor C_2 of capacitance 8muF is charged to 50V. The positive and negative plates are mutually connected. Amount of charge of the capacitor C_2 after combination will be