Electrostatic P...

The electric field in a certain region is $$ A/x^3 $$. Then, the potential at a point (x,y,z), assuming the potential at infinity to be zero, is

In the circuit shown in the figure, the switch can be shifted to positions $$'1'$$ and $$'2'$$. The charge on capacitor $$C_1$$ when the switch is at position $$'1'$$ is?

An unchanged conductor A is brought near a positively charged conductor B. Then

The potential at point A is 

A positively charged particle is released from rest in a uniform electric field. The electric potential energy of the charge

In the figure , the dielectric present in the half part of the plates of a parallel plate capacitor whose dielectric constant is  is displaced. If the initial capacitance of the capacitor is C, then the now capacitance will be:

In a certain region of space, the electric field is zero. From this fact, what can you conclude about the electric potential in this region?

A fully charged parallel-plate capacitor remains connected to a battery while you slide a dielectric between the plates. Then the capacitance :

‘A’ and ‘B’ are two condensers of capacities 2 $$\mu F $$ and 4$$\mu F$$ They are charged to potential differences of 12V and 6V respectively. If they are now connected (+ve to +ve), the charge that flows through the connecting wire is :

A capacitor is filled with an insulator and a certain potential difference is applied to its plates. The energy stored in the capacitor is $$U$$. Now the capacitor is disconnected from the source and the insulator is pulled out of the capacitor. The work performed against the forces of the electric field in pulling out the insulator is $$4U$$. Then the dielectric constant of the insulator is :