Electrostatic Potential And Capacitance-Test 01

A parallel plate capacitor made of circular plates each of radius 6 cm has a capacitance 100 pF . the capacitor is connected to a 230 V ac supply with a angular frequency of 300 rad/s. the amplitude of magnetic field at point 3 cm from the axis between the plates is

As the distance between the plates of a parallel plate capacitor is decreased.

Two point charges at certain distance apart in air repel each other with a force $$F$$. A glass plate is introduced between the charges. The force becomes $${F}_{1}$$, where

Consider a cube as shown in the figure-I; with uniformly distributed charge in its entire volume. Intensity of electrical field and potential at one of its vertex P are$$ E_0$$ and $$V_o $$ respectively. A portion of half the size (half edge length) of the original cube is cut and removed as shown in the figure-II. Find modulus of electric field and potential at the point P in the new structure. 

Three uncharged capacitors of capacities $$C_1, C_2$$ and $$C_3$$ are connected as shown in the figure to one another and the points A, B and C are at potentials $$V_1, V_2$$ and $$V_3$$ respectively. Then the potential at O will be?

The equivalent capacitance between A and B is?

The equivalent capacitance between A and B in the circuit shown in figure, is?

If $$Q$$ charge is given to a spherical sheet of radius $$R$$, the energy of the system is

The equivalent capacitance between points M and N is?

In the given arrangement of capacitors, equivalent capacitance between M and N is?