Electric potential and capacitance practice · Medium

The value of electric potential at any point due to any electric dipole is

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

What is the potential energy of the equal positive point charges of $1\mu C$ each held $1\;m$ apart in air

The potential to which a conductor is raised, depends on

An electric dipole consists of two opposite charges, each of magnitude 1.0 $\mathrm{\mu }$C separated by a distance of 2.0 cm. the dipole is placed in an external electric field of ${10^5}$ $N{C^{ - 1}}$. The maximum torque on the dipole is

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

The electric potential inside a conducting sphere

An electric dipole consists of two opposite charges of magnitude $q = 1 \times {10^{ - 6\;}}$ C separated by 2.0 cm. the dipole is placed in an external field of $1 \times {10^5}$ $\mathrm{N}{\mathrm{C}^{ - 1}}$. What maximum torque does the field exert on the dipole? How much work must an external agent do to turn the dipole end for end, starting from position of alignment ($\mathrm{\theta } = {0^0}$)

An electric dipole of moment $p$ is placed in the position of stable equilibrium in uniform electric field of intensity $E.$ It is rotated through an angle $\theta$ from the initial position. The potential energy of electric dipole in the final position is

Assertion (A): When two unlike charges are brought nearer, their electrostatic potential energy decreases.

Reason (R) : All conservative forces act in the direction of decreasing potential energy.

Assertion: If the distance between parallel plate of a capacitor is halved and dielectric constant is three times, then the capacitance become 6 times.

Reason: Capacity of the capacitor does not depend upon the nature of the material.

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.

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

You have a parallel plate capacitor, a spherical capacitor and cylindrical capacitor. Each capacitor is charged by and then removed from the same battery. Consider the following situations
(i) separation between the plates of parallel plate capacitor is reduced
(ii) radius of the outer spherical shell of the spherical capacitor is increased
(iii) radius of the outer cylinder of cylindrical capacitor is increased
Which of the following is correct ?

An electric dipole is kept on the axis of a uniformly charged ring at distance $\frac{R}{\sqrt{2}}$ from the centre of the ring. The direction of the dipole moment is along the axis. The dipole moment is ${P}$, the charge of the ring is ${Q}$ and the radius of the ring is ${R}$. The force on the dipole is nearly

Three capacitor each of $6\mu F$ are available. The minimum and maximum capacitances which may be obtained are

Assertion (A): Conductors having equal positive charge and volume, must also have same potential.
Reason (R): Potential depends only on charge and volume of conductor.

The potential due to the electric dipole at a distance $r$ from the dipole on the axial line is

A $10\mu F$ capacitor is charged to a potential difference of $1000V.$ The terminals of the charged capacitor are disconnected from the power supply and connected to the terminals of an uncharged $6\mu F$ capacitor. What is the final potential difference across each capacitor

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

A point charge q is placed at a distance ‘r’ from the centre of an uncharged conducting sphere of radius R. The potential at any point on the sphere is

A parallel plate capacitor is connected to a 5V battery and charged. The battery is then disconnected and a glass slab is introduced between the plates. Then, the quantities that decrease are

A parallel plate capacitor is charged and then charging battery is disconnected. If the plates are now pulled apart with insulated handless

An electric dipole consisting of two opposite charge of $2 \times {10^{ - 6}}C$ each separated by a distance of 3cm is placed in an electric field of $2 \times {10^5}N/C$. The maximum torque on the dipole will be

The capacity of a spherical conductor in $\mathrm{MKS}$ system is

A spherical condenser has inner and outer spheres of radii $a$ and $b$ respectively. The space between the two is filled with air. The difference between the capacities of two condensers formed when outer sphere is earthed and when inner sphere is earthed will be

Statement-1: If the potential difference across a plane parallel plate capacitor is doubled then the potential energy of the capacitor becomes four times under all conditions.
Statement-2: The potential energy $U$ stored in the capacitor is $U=\frac{1}{2} C V^2$, where $C$ and $V$ have usual meaning.

Stored electrostatic energy in a capacitor of capacity $C,$ which is charged upto $Q$ charge, is:

If a dielectric substance is introduced between the plates of a charged air-gap capacitor. The energy of the capacitor will

A parallel plate condenser with dielectric of constant ${K}$ between the plates has a
capacity ${C}$ and is charged to a potential ${V}$ volt. The dielectric slab is slowly removed from between the plates of the capacitor and is again reinserted The net work done by the system in this process is