Electric potential and capacitance practice · Mixed difficulty

A series combination of $\text{N}_1$ capacitors (each of capacity $\text{C}_1$) is charged to potential difference $3 \mathrm{~V}.$ Another parallel combination of $\mathrm{N}_2$ capacitors (each of capacity $\text{C}_2$) is charged to potential difference $\text{V}.$ The total energy stored in both the combinations is same. The value of $\text{C}_1$ in terms of $\text{C}_2$ is

The potential to which a conductor is raised, depends on

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

The equation of an equi-potential line in an electric field is $y=2 x$, then the electric field strength vector at $(1,2)$ may be:

Assertion: For a point charge, concentric spheres centered at a location of the charge are equipotential surfaces.
Reason: An equipotential surface is a surface over which potential has constant value.

When two conductors of charges and potentials $C_1, V_1$ and $C_2, V_2$ respectively are joined, the common potential will be:

The electrostatic force between the metal plates of an isolated parallel plate capacitor $C$ having a charge $Q$ and area ${A}$, is

Potential at any point inside a charged hollow
sphere:

$12 \mathrm{~J}$ of work has to be done against an existing electric field to take a charge of $0.01 \mathrm{C}$ from $A$ to $B$. How much is the potential difference $V_B-V_A$ ?

The plates of a charged condenser is connected to a voltmeter. If the plates are moved apart, the reading of voltmeter will

The difference between equivalent capacitances of two identical capacitors connected in parallel to that in series is $6 \mu \mathrm{F}.$ The value of capacitance of each capacitor is:

The capacitance of two concentrie spherical shells of radii $R_1$ and $R_2\left(R_2>R_1\right)$ is

An infinite sheet carrying a uniform surface charge density $\sigma$ lies on the $x y$ plane. The work done to carry a charge $q$ from the point $A=a(\hat{{i}}+2 \hat{{j}}+3 \hat{{k}})$ to the point $B=a(\hat{{i}}-2 \hat{{j}}+6 \hat{{k}})$ (where $a$ is a constant with the dimension of length and $\varepsilon_0$ is the permittivity of free space) is

A variable condenser is permanently connected to a $100\;V$ battery. If the capacity is changed from $2\mu \;F$ to $10\;\mu \;F,$ then change in energy is equal to

The potential energies associated with four orientations of an electric dipole in an electric field are:

$\text{(i)}-5 \mathrm{U}_0 \quad \text{(ii)}-7 \mathrm{U}_0 \quad$ $\text{(iii) }3 \mathrm{U}_0 \quad \text{(iv) }5 \mathrm{U}_0$

Where $\text{U}_0$ is positive. Rank the orientations according to the angle between the electric dipole moment $\overrightarrow{\mathrm{P}}$ and the electric field $\overrightarrow{\mathrm{E}}$, greatest first

The capacity of a parallel plate capacitor is $8.85 \times {10^{ - 12}}\,\,F$ and area of each plate is $4\,\,c{m^2}$ then the distance between two plates is

Can two equipotential surfaces intersect each other?

A hollow metal sphere of radius $\text{R}$ is charged with a charge $\text{Q}.$ The electric potential and intensity inside the sphere are respectively

Assertion (A) : When an uncharged capacitor is charged by a battery, only $50 \%$ of the energy supplied by a battery is stored in the capacitor.

Reason (R): Rest $50 \%$ is lost.

A uniform electric field pointing in positive x-direction exists in a region let $A$ be the origin $B$ be the point on x-axis at $x = + 1\,cm$ and $C$ be the point on y-axis at $y = + 1\,cm$. Then the potentials at points A,B, and C satisfy.

Two capacitors of capacitances $20.0 \mathrm{pF}$ and $50.0 \mathrm{pF}$ are connected in series with a $6.00 \mathrm{~V}$ battery. Find the potential difference across each capacitor.

Can a metal be used as a medium for dielectric

An air capacitor is charged with an amount of charge $q$ and dipped into an oil tank. If the oil is pumped out, the electric field between the plates of capacitor will

A capacitor stores $10 \mu \mathrm{C}$ charge when connected across a battery. When the gap between the plates is filled with a dielectric, a charge of $20 \mu \mathrm{C}$ flows through the battery. Find the dielectric constant of the dielectric.

The potential energy of a system of two charges is negative when:

Two circular plates each of radius '$\text{r}$' and charge '$\text{q}$' form a parallel plate capacitor. Then the force of attraction between the plates is (Medium between the plate is air)

Torque acting on an electric dipole in a uniform electric field is maximum if the angle between p and E is

If the plates of a charged capacitor are brought closer, then the $p$.($d$) between the plates will

Consider the combination of two capacitors ${C_1}$ and ${C_2},$ with ${C_2}\, > {C_1},\,$ when connected in parallel, the equivalent capacitance is $15/4$ time the equivalent capacitance of the same connected in series. Calculate the ratio of capacitors $\frac{{{C_2}}}{{{C_1}}}$.

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