Electrostatic P...

The potential at a point x (measured in m) due to some charges situated on the x-axis is given by V(x) = 20/(x² - 4) volts. The electric field E at x = 4 m is given by

A Van de Graaff generator is capable of building up a potential difference of 15 x 10⁶ V. The dielectric strength of the gas surrounding the electrode is 5 x 10⁷ V m^–1. What is the minimum radius of the spherical shell required?

A glass slab is held within the plates of a charged parallel plate condenser. Which of the following quantities does not change?

In a Van de Graff generator, the maximum potential difference is 10⁶ V. The dielectric strength of air is 3 x 10⁶ V/m. The minimum radius of the metallic shell is

If a positive charge is shifted from a low potential region to a high potential region, then what will happen to its potential energy? 

An electric charge of 10^-3 μC is placed at the origin (0, 0) of an X-Y coordinate system. Two points A and B are situated at (, ) and (2, 0), respectively. The potential difference between the points A and B will be

Two identical capacitors, having plate separation d₀, are connected parallel to each other across a point 'A' as shown in the figure. Charge Q is imparted to the system by connecting a battery across the points 'A' and 'B', and then the battery is removed. If the first plate of the first capacitor and the second plate of the second capacitor started moving with constant velocity u₀ towards the left, then find the magnitude of current flowing in the loop.

A parallel plate capacitor has a voltage of 5 V between the two plates separated by 4 microns (1 micron = 10^-6 m). What is the electric field between the capacitor plates?

Directions: In the following question, statement 1 (Assertion) is followed by statement 2 (Reason). Read these statements and select the appropriate answer.

Statement 1:
A parallel plate capacitor is charged by a battery. The battery is then disconnected. If the distance between the plates is increased, then the energy stored in the capacitor will decrease.
Statement 2:
Work has to be done to increase the separation between the plates of a charged capacitor.

Two conducting spheres A and B of respective radii a and b are at the same potential. The ratio of the surface charge densities of A and B is

A capacitor of capacitance C₁ is charged by connecting it to a battery. The battery is now removed and this capacitor is connected to a second uncharged capacitor of capacitance C₂. If the charge gets distributed equally on the two capacitors, then the ratio of the total energy stored in the capacitors after connection to the total energy stored in them before connection is

A parallel plate air-filled capacitor, shown in figure (a), has a capacitance of 2 . When it is half-filled with a dielectric of dielectric constant k = 3 as shown in figure (b), its capacitance becomes

The figure below shows four plates separated from one another by a distance d and each having an area A. What is the capacitance between P and Q?

In the network shown in the figure given below, C₁ = 6  and C = 9 . The equivalent capacitance between points P and Q is

If 1000 drops of water of same radius r and same charge q combine to form a big drop, then how many times is the potential of the big drop relative to the potential of a small drop?

A thin spherical conducting shell of radius R has a charge q. Another charge Q is placed at the centre of the shell. The electrostatic potential at a point P, at a distance R/2 from the centre of the shell, is

A capacitor of capacitance 1 micro F is charged to 1 kV. What is the energy stored?

Three charges 2q, –q and –q are located at the vertices of an equilateral triangle. At the circumcentre of the triangle,

Van de Graaf generator is used for

A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting the charging battery, the distance between the plates of the capacitor is increased using an insulating handle. As a result, the potential difference between the plates

75% of the distance d, between the parallel plates of a capacitor, is filled with a material of dielectric constant k. Find the change in capacitance if the original capacitance was C₀.

If 4 x 10²⁰ eV of energy is required to move a charge of 0.25 C between two points, then what will be the potential difference between them?

Which of the following is not a property of equipotential surfaces?

The instrument for measuring potential difference without taking current is called

A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of - 3Q, then the new potential difference (in V) between the same two surfaces is