Electric potential and capacitance practice · Mixed difficulty

A capacitor is charged through a potential difference of $200 \mathrm{~V}$, when $0.1 \mathrm{C}$ charge is stored in it. How much energy will it release, when it is discharged?

Assertion (A): In a region of constant potential, the electric field is zero and there can be no charge inside the region.

Reason (R): According to Gauss law, charge inside the region should be zero if electric field is zero.

The electric potential in volts due to an electric dipole of dipole moment $2 \times 10^{-8}$ coulomb-metre at a distance of $3 \mathrm{~m}$ on a line making an angle of $60^{\circ}$ with the axis of the dipole is

A parallel plate condenser with oil between the plates (dielectric constant of oil K=8) has a capacitance $C.$ If the oil is removed, then capacitance of the capacitor becomes

The electrostatic potential on the surface of a charged conducting sphere is 100 V. Two statements are made in this regard
S1: At any point inside the sphere, electric intensity is zero.
S2: At any point inside the sphere, the electrostatic potential is 100 V.
Which of the following is a correct statement?

The capacitance of a parallel plate condenser does not depend upon

What will be the capacity of a parallel-plate capacitor when the half of parallel space between the plates is filled by a material of dielectric constant ${\varepsilon _r}$? Assume that the capacity of the capacitor in air is $C$

A parallel plate capacitor is charged by a battery after charging the capacitor, the battery is disconnected and if a dielectric plate is inserted between the plates, then which one of the following statements is not correct

The dielectric constant of a perfect conductor is

Assertion: The electric field due to a dipole on its axial line at a distance $r$ is $\mathrm{E}$. Then, electric field due to the same dipole on the equatorial line and at the same distance will be $\mathrm{E} / 2$

Reason: Electric field due to dipole varies inversely as the square of distance.

On increasing the plate separation of a charged condenser, the energy

In which form energy is stored in a capacitor:

An electric dipole is situated in an electric field of uniform intensity $E$ whose dipole moment is $p$ and moment of inertia is $I.$ If the dipole is displaced slightly from the equilibrium position, then the angular frequency of its oscillations is

A spherical equipotential surface is not possible

The electric potential inside a conducting sphere

A $4\,\,\mu F$ capacitor is charged to 400 volt. If its plates of joined through a resistance, then heat produced in the resistance will be

Two identical electric point dipoles have dipole moments ${p_1} = p\hat i$ and ${p_2} = - p\hat i$ are held on the X-axis at distance $a$ from each other. When released, they move along the X-axis with the direction of their dipole moments remaining unchanged. If the mass of each dipole is $m,$ their speed when they are infinitely far apart is

A parallel plate condenser has a capacitance $50\mu F$ in air and $110\mu F$ when immersed in an oil. The dielectric constant $'k'$ of the oil is

At a point on the axis of an electric dipole

A $800 \mathrm{~pF}$ capacitor is charged by a $100 \mathrm{~V}$ battery. After some time the battery is disconnected. The capacitor is then connected to another $800 \mathrm{~pF}$ capacitor. What is the electrostatic energy stored?

When two identical capacitors are in series have $3\,\mu F$ capacitance and when parallel $12\,\mu F.$ What is the capacitance of each

Force of $4000 \mathrm{~N}$ acts on $4 \mathrm{~C}$ charge placed in a uniform electric field. The potential difference between two points $2 \mathrm{~cm}$ apart in the field is

Three capacitors of capacitances $3\mu F,9\mu F$ and $18\mu F$ are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases $\left( {\frac{{{C_s}}}{{{C_p}}}} \right)$ will be

An electric dipole has a pair of equal and opposite point charges $q$ and $- q$ separated by a distance $2x$. The axis of the dipole is defined as

Three capacitors of capacitance $3\;\mu \;F$ are connected in a circuit. Then their maximum and minimum capacitance will be

The energy of a charged capacitor is given by the expression ($q =$ charge on the conductor and $C =$ its capacity)

The electric field due to a short electric dipole at a large distance $(r)$ from center of dipole on the equatorial plane varies with distance as :

A molecule of a substance has electric dipole moment of magnitude $10^{-29} \mathrm{~C} \mathrm{m}$. A mole of this substance is polarised by applying strong electric field of magnitudes $10^7 \mathrm{~Vm}^{-1}$. The direction of field is changed by an angle of $60^{\circ}$. The heat released by the substance in aligning its dipole along the new direction of field is

The electrostatic potential due to an electric dipole at a distance $r$ varies as:

The energy stored in a condenser is in the form
of