Electric potential and capacitance practice · Medium

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

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

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?

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

Three point charges $1 \mathrm{~C}, 2 \mathrm{~C}$ and $3 \mathrm{~C}$ are placed at the corners of an equilateral triangle of side $1 \mathrm{~m}.$ The work done in bringing these charges to the vertices of a smaller similar triangle of side $0.5 \mathrm{~m}$ is:

Assertion: If an electric dipole of dipole moment $30 \times 10^{-5} \mathrm{Cm}$ is enclosed by a closed surface, the net flux coming out of the surface will be zero.

Reason: An electric dipole consists of two equal and opposite charges.

A dielectric of thickness $5 \mathrm{~cm}$ and dielectric constant 10, is introduced in between the plates of a parallel plate capacitor having plate area $500 \mathrm{~cm}^2$ and separation between plates $10 \mathrm{~cm}.$ The capacitance of the capacitor is $\text{(If }\varepsilon_0=\mathrm{8 . 8} \times 10^{-12} \text{ SI units}):$

The capacity of a parallel plate condenser consisting of two plates each 20 cm square and are separated by a distance of 8 mm is (Take air as the medium between the plates).

Capacitance of a parallel plate capacitor becomes $4/3$ times its original value if a dielectric slab of thickness $t = d/2$ is inserted between the plates ($d$ is the separation between the plates). The dielectric constant of the slab is

Force of attraction between the plates of a parallel plate capacitor is

A capacitor with stored energy 4.0 J is connected with an identical capacitor with no electric field in between. Find the total energy stored in the two capacitors

The potential difference between two points $x = 10\,m$ and 20 m in the field $E = \frac{{100}}{{{x^2}}}$ will be in volt