Electric potential and capacitance practice · Medium

A capacitor is kept connected to the battery and a dielectric slab is inserted between the plates. During this process

What fraction of the energy drawn from the charging battery is stored in a capacitor?

The earth has Volume $'V'$ and surface area $'A'$ then capacitance would be

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

A total charge $\mathrm{Q}$ is uniformly distributed throughout the volume of a sphere. Electric potential at a point on the surface of the sphere is greater than the potential at infinity by $16 \mathrm{~V}$. Find the potential difference (in volt) between point $\mathbf{P}$ at a distance half of the radius of the sphere from the centre and the point $\mathbf{S}$ at a distance double the radius of the sphere from the centre of the sphere.

A dipole of electric dipole moment $p$ is placed in a uniform electric field of strength $E,$ If $\theta$ is the angle between positive directions of p and $E,$ then the potential energy of the electric dipole is largest when $\theta$ is

A charge $3 \mu \mathrm{C}$ is released from rest from a point $\mathrm{P}$ where electric potential is $20 \mathrm{~V}$ then its kinetic energy when it reaches infinity is :

25 capacitors each of capacitance $1 \mu \mathrm{F}$ are connected in series to a battery of $100 \mathrm{~V}.$ The total charge stored on capacitors is

A parallel plate condenser has plates of area $200\,\,c{m^2}$ and separation 0.05 cm. The space between plates have been filled with a dielectric having K = 8 and then charged to 300 Volts. The stored energy

A capacitor is charged by using a battery which is then disconnected. A dielectric slab is then slipped between the plates, which results in

A battery does 200 J of work in charging a
capacitor. The energy stored in the capacitor is:

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

The capacity of parallel plate condenser depends on

Two spherical conductors each of capacity C are charged to potentials $V$ and $- V$. These are then connected by means of a fine wire. The loss of energy will be

The energy stored in the condenser is

The electric field between the plates of a parallel plate capacitor when connected to a certain battery is ${E_0}.$ If the space between the plates of the capacitor is filled by introducing a material of dielectric constant $K$ without disturbing the battery connections, the field between the plates shall be

When a capacitor is connected to a battery

Two capacitors connected in parallel having the capacities ${C_1}$ and ${C_2}$ are given $'q'$ charge, which is distributed among them. The ratio of the charge on ${C_1}$  and ${C_2}$ will be

An uncharged capacitor is connected to a battery. Show that half the energy supplied by the battery is lost as heat while charging the capacitor.

In an electric field $\mathbf{E}$, the torque acting on a dipole moment $\mathbf{p}$ is

A half ring of radius $R$ has a charge of $\lambda$ per unit length. The potential at the centre of the half ring is $\left( {k = \frac{1}{{4\pi {\varepsilon _0}}}} \right)$

Equipotential surfaces associated with an electric field which is increasing in magnitude along the $x -$ direction are

Dipole is placed parallel to the electric field. If Q is the work done in rotating the dipole by 60°, then work done in rotating it by 180° is

A test charge is moved from lower potential point to a higher potential point. The potential energy of test charge will:

Two points $P$ and $Q$ are maintained at the potential of $10\;V$ and $- 4V$, respectively. The work done in moving 100 electrons from $P$ to $Q$ is

A parallel plate capacitor is charged. If the plates are pulled apart

If potential (in volts ) in a region is expressed as $V(x,y,z) = 6xy - y + 2yz,$ the electric field ( in N/C) at point (1,1,0) is

Potentiometer measures potential more accurately because

The region surrounding a stationary electric dipole has:

An electric field $E=(20 \hat{i}+25 \hat{j})$ exist in space. If the potential at the origin is zero, then the potential at point $(2 \mathrm{~m}, 4 \mathrm{~m})$ is: