Electric potential and capacitance practice · Medium

Three identical capacitors are combined differently. For the same voltage to each combination, the one that stores the greatest energy is

An electric dipole when placed in a uniform electric field $E$ will have minimum potential energy, if the positive direction of dipole moment makes the following angle with $E$

Charges 5$\mu$C and 10$\mu$C are placed 1 m apart. Work done to bring these charges at a distance 0.5 m from each other is

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

STATEMENT-1 : For practical purposes, the earth is used as a reference at zero potential in electrical circuits.and

STATEMENT-2 : The electrical potential of a sphere of radius $\mathrm{R}$ with charge $\mathrm{Q}$ uniformly distributed on the surface is given by $\frac{Q}{4 \pi \varepsilon_0 R}$

The potential at a point $x$(measured in $\mu$m) due to some charges situated on the $x$-axis is given by
$V\left( x \right) = 20/\left( {{x^2} - 4} \right)\;\mathrm{volt}$
The electric field E at $x$=4 $\mu$m is given by

A spherical drop of capacitance $1\;\mu F$ is broken into eight drops of equal radius. Then, the capacitance of each small drop is ……

Increasing order of dielectric constant for air, rubber and copper is:

A capacitor of capacitance ${C_1} = 1\;\mu F$ can with stand maximum voltage ${V_1} = 6kV\;\left( {kilo - volt} \right)$ and another capacitor of capacitance ${C_2} = 3\mu F$ can withstand maximum voltage ${V_2} = 4\;kV.$ When the two capacitors are connected in series, the combined system can withstand a maximum voltage of

$C,V,U$ and $Q$ are capacitance, potential difference, energy stored and charge of parallel plate capacitor respectively. The quantities that increases when a dielectric slab is introduced between the plates without disconnecting the battery are

Polar molecules are the molecules

The energy stored in a condenser is in the form
of

A conductor which can be given almost unlimited charge is_____.

When a lamp is connected in series with capacitor, then

In a certain two-dimensional field of force, the potential energy of the particle has the form $U={a} {x}^2+{b} {y}^2,$ where ${a},{b}({a} \neq {b})$ are positive constants with different magnitudes. What is the shape of the equipotential surface for which the magnitude of force vector is constant?

A charge $\left( { - q} \right)$ and another charge $\left( { + Q} \right)$ are kept at two points $A$ and $B$ respectively. Keeping the charge $\left( { + Q} \right)$ fixed at $B$, the charge $\left( { - q} \right)$ at $A$ is moved to another point $C$ such that $ABC$ forms an equilateral triangle of side $l$. The net work done in moving the charge $\left( { - q} \right)$ is

If identical charges $\left( { - q} \right)$ are placed at each corner of a cube of side $b$, then electric potential energy of charge $\left( { + q} \right)$ which is placed at centre of the cub will be

Potentiometer measures potential more accurately because

Assertion (A) : An independent negative charge moves itself from point $A$ to point $B$. Then, potential at $A$ should be less than potential at $B$.

Reason (R): While moving from $A$ to $B$ kinetic energy of electron will increase.

An electric dipole is placed in an electric field generated by a point charge. Then which of the following statements is true?

An electric dipole is kept in non-uniform electric field. It experiences

Two metal spheres of capacitance ${C_1}$ and ${C_2}$ carry some charges. They are put in contact and then separated. The final charges ${Q_1}$ and ${Q_2}$ on them will satisfy

If a dipole of dipole moment $\vec{\text{p}}$ is placed in a uniform electric field $\overrightarrow{\mathrm{E}},$ then torque acting on it is given by

A point $Q$ lies on the perpendicular bisector of an electrical dipole of dipole moment $p.$ If the distance of $Q$ from the dipole is $r$ (much larger than the size of the dipole), then electric field at $Q$ is proportional to

Two similar parallel-plate capacitors each of capacity $C_0$ are connected in series. The combination is connected with a voltage source of $V_0$. Now, separation between the plates of one capacitor is increased by a distance $d$ and the separation between the plates of another capacitor is decreased by the distance $d / 2$. The distance between the plates of each capacitor was $d$ before the change in separation. Then, select the correct choice.

Dielectric constant of a medium is also known as:

A potential difference of $300\;volts$ is applied to a combination of $2.0\mu F$ and $8.0\mu F$ capacitors connected in series. The charge on the $2.0\mu F$ capacitor is

An electric dipole of moment $\vec{P}$ placed in a uniform electric field $\vec{E}$ has maximum potential energy when the angle between $\vec{P}$ and $\vec{E}$ is

For measurement of potential difference, potentiometer is preferred in comparison to voltmeter because:-

A parallel plate air capacitor has a capacitance of $100\mu \mu F.$ The plates are at a distance $d$ apart. If a slab of thickness $t\left( {t \le d} \right)$ and dielectric constant 5 is introduced between the parallel plates, then the capacitance will be