List of top Physics Questions on Electrostatics asked in UP Board XII

Electrostatic force between two point charges placed in a medium of dielectric constant \( k \) is \( F_1 \). On changing the medium, electrostatic force between the charges becomes \( F_2 \). Dielectric constant of the medium will be:
Define electric dipole and give the formula for its dipole moment. Find the expression of torque acting on an electric dipole placed in a uniform electric field.
Charge on a piece of metal is \(-3.2\) coulomb. Number of excess electrons in the metal is:
Derive the formula for the intensity of electric field on the bisector (equatorial line) of an electric dipole.
Obtain the formula for work done by an electric dipole in rotating \(\theta\) from equilibrium in a uniform electric field.
Electric force of 80 N acts between two point charges. When these charges are placed in a dielectric medium, then electric force becomes 8 N. Dielectric constant of the medium will be
State Gauss's law in electrostatics. On the basis of it, obtain the formula for the electric field produced due to a plane charged plate.
Electrostatic force between two point charges placed in a medium of dielectric constant \( k \) is \( F_1 \). On changing the medium, electrostatic force between the charges becomes \( F_2 \). Dielectric constant of the medium will be:
Define electric dipole and give the formula for its dipole moment. Find the expression of torque acting on an electric dipole placed in a uniform electric field.
Write the unit of electric flux.
Charge on a piece of metal is \(-3.2\) coulomb. Number of excess electrons in the metal is:
Obtain the formula for the intensity of electric field on the equatorial point of an electric dipole.
What is Gauss' law? Find the formula for the intensity of electric field produced due to a point charge with the help of it.
State, explain and compare features of
(i) Gauss’s law in electrostatics and
(ii) Ampere’s circuital law in magnetostatics.
Obtain an expression for (i) potential difference and (ii) capacitance of a parallel plate capacitor filled partly with dielectric material between plates.
The unit of electric flux is:
Diameters of two spheres of metal are $6 \, \text{cm}$ and $4 \, \text{cm}$. They are charged to the same potential. Find out the ratio of the surface densities of charge on the sphere.
Find out the formula for the capacitance of the parallel plate capacitor shown in the figure. Area of the plates is $A$ and thicknesses of the dielectric slabs between the plates are $d_1$ and $d_2$, and their dielectric constants are $K_1$ and $K_2$ respectively.
Write down the formula for the electric potential on the axial line of an electric dipole.
Calculate the stored charge and potential difference between the plates in steady state for both the capacitors as shown in the circuit:
Derive the formula for the electric field due to a uniformly charged straight wire of infinite length by using Gauss' law.
Find out total electric potential energy of the system of charges, shown in the figure:
The capacitance of a charged capacitor is \( C \) farad and stored energy is \( U \) joule. Write the expression for charge on the plates of the capacitor.
State Gauss's theorem of electrostatics. What is the meaning of equipotential surface? Two insulator plates having equal charge density are placed as shown in the figure. Find the electric field intensity at points P and Q.
Define electric dipole and dipole moment. An electric dipole of dipole moment \( 2 \times 10^{-8} \, \text{C} \cdot \text{m} \) is inclined at an angle of 30° from a uniform electric field of \( 2 \times 10^5 \, \text{V/m} \). Find the potential energy of the dipole and the moment of the couple acting on it.