Capacitors Test...

The capacitor of capacitance 4µF and 6µF are connected in series. A potential difference of 500 volts applied to the outer plates of the two capacitor system. Then the charge on each capacitor is numerically

Three capacitors of capacitances 3 µF,  9µF and 18µF are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases  will be

Two condensers of capacity 0.3 µF and 0.6 µF respectively are connected in series. The combination is connected across a potential of 6 volts. The ratio of energies stored by the condensers will be

In the adjoining figure, four capacitors are shown with their respective capacities and the P.D. applied. The charge and the P.D. across the 4 µF capacitor will be

A 4µF condenser is connected in parallel to another condenser of 8µF Both the condensers are then connected in series with a 12 µF condenser and charged to 20 volts. The charge on the plate of 4µF condenser is

In the following circuit, the resultant capacitance between A and B is 1 µF. Then value of C is

The mean electric energy density between the plates of a charged capacitor is (here Q = Charge on the capacitor and A = Area of the capacitor plate)

Plate separation of a 15µ F capacitor is 2 mm. A dielectric slab (K = 2) of thickness 1 mm is inserted between the plates. Then new capacitance is given by

The force between the plates of a parallel plate capacitor of capacitance C and distance of separation of the plates d with a potential difference V between the plates, is

If a slab of insulating material 4×10^-5 m thick is introduced between the plate of a parallel plate capacitor, the distance between the plates has to be increased by 3.5×10^-5 m to restore the capacity to original value. Then the dielectric constant of the material of slab is