Electric potential and capacitance practice · Mixed difficulty

A capacitor has capacitance of $8.5\,\mu F$. How much charge must be removed to lower the potential difference of its plates by 50 volt.

Statement-1: Work done by electrostatic force is zero if a charge is moving along an equipotential surface.
Statement-2: Equipotential surfaces are perpendicular to electric field.

The energy stored in a parallel plate capacitor can be treated as the energy of the electric field. The energy per unit volume, due to the electric field is

Assertion: In the absence of an external electric field, the dipole moment per unit volume of polar dielectric is zero.

Reason: The dipoles of a polar dielectric are randomly oriented.

In bringing an electron towards another electron, the electrostatic potential energy of system

To store electric charge, we use

Assertion: Two adjacent conductors of unequal dimensions, carrying the same positive charge have a potential difference between them.

Reason: The potential of a conductor depends upon the charge given to it.

Two capacitors of $10 \, \mu \mathrm{F}$ and $20 \, \mu \mathrm{F}$ are connected in series with a $30 \mathrm{~V}$ battery. The charge on the capacitors will be respectively

The capacitor of capacitance $4 \,\mu F$ and $6\, \mu F$ are connected in series. A potential difference of 500 $volts$ is applied to the outer plates of the two capacitor system. The potential difference across the plates of capacitor of $4 \,\mu F$ capacitance is

Equipotentials at a great distance from a collection of charges whose total sum is not-zero are approximately

A parallel plate capacitor is first charged and then a dielectric slab is introduced between the plates. The quantity that remains unchanged is

A dielectric slab is inserted between the plates of an isolated capacitor. The force between the plates will

Two charged conducting spheres of radii $\mathrm{a}$ and $\mathrm{b}$ are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is:

The empty space between the plates of capacitor is filled by liquid of dielectric constant $\text{K}.$ The capacitance of capacitor

Statement I : The circuits containing capacitor be handed cautiously, even when there is no current.

Statement II : A dielectric differs from an insulator.

A parallel plate condenser is immersed in an oil of dielectric constant 3. The field between the plates is

A conducting solid sphere is charged. Ratio of electric potential at distance $\frac{R}{2}$ and $R$ from centre is [Given $R=$ radius of sphere]

What is the angle between the electric dipole moment and the electric field strength due to it on the axial line?

Equipotential surfaces

Two identical capacitors are joined in parallel, charged to a potential $V$ and then separated and then connected in series $i.e.$ the positive plate of one is connected to negative of the other

In a certain region of space with volume $0.2 \mathrm{~m}^3$, the electric potential is found to be $15 \mathrm{~V}$ throughout. What is the electric field in this region?

A sphere P of radius 6 cm is charged to a potential of 12 V and is connected to an uncharged sphere Q of radius 3 cm. Determine the loss energy during the process.

The radii of two spherical conductors $A$ and $B$ are in the ratio $3: 5$ Conductor '$A$' is in air while $B$ is surrounded by a medium of relative permittivity 6. The ratio of the capacitances of $A$ and $B$ is

Assertion: The electric field due to a dipole on its axis line at a distance $r$ is $E.$ Then, electric field due to the same dipole on the equatorial line and at the same distance will be $E/2.$
Reason: Electric field due to dipole varies inversely as the square of the distance.

Two parallel plates have equal and opposite charge. When the space between them is evacuated, the electric field between the plates is $4.8 \times 10^5 \mathrm{~V} / \mathrm{m}$. When the space is filled with dielectric, the electric field becomes $1.6 \times 10^5 \mathrm{~V} / \mathrm{m}$. The dielectric constant of the dielectric material is:

A charge of $Q\;\mathrm{ }coulomb$ is placed on a solid piece of metal irregular shape. The charge will distribute itself

The electrostatic potential energy of a charge of 15 C at a point in the electrostatic field is 105 J. The potential at that point is:

Assertion:- The electrostatic potential is necessarily zero at a point, where the electric field strength is zero.
Reason:- A charged particle in an electric field will move from higher potential region to lower potential region.

The ratio of charge densities on the surface of two conducting spheres is 3 : 2 If the radii of the spheres are 4 cm and 8 cm. the ratio of electric potential on the surfaces of the spheres is

Given below are two statements.
Statement I : Electric potential is constant within
and at the surface of each conductor.
Statement II : Electric field just outside a charged
conductor is perpendicular to the surface of the
conductor at every point.
In the light of the above statements, choose the
most appropriate answer from the options given
below.