Electric potential and capacitance practice · Mixed difficulty

The potential energy function (in $J$) of a particle in a region of space is given as $U=\left(2 x^2+3 y^2+2 z\right)$. Hare $x, y$ and $z$ are in meter. The magnitude of $x$ component of force (in $N$) acting on the particle at point $P(1,2,3) m$ is:

A parallel plate capacitor has each plate area $A$ and separation $d$. Charge $Q$ is given to positive plate of capacitor. The force on each plate of capacitor is

Assertion: The electric potential at any point on the equatorial plane of an electric dipole is indeed zero.
Reason: The contributions to the potential from the positive and negative charges of the dipole cancel each other out due to the symmetry of the arrangement.

${Q}$ charge is given to two capacitors $C_1$ and $C_2$ which are in parallel. The charge distribution among them is

What is the angle between maximum value of potential gradient and equipotential surface?

When a test charge is brought in from infinity along the perpendicular bisector of an electric dipole, the work done is

Dielectric constant of a medium is also known as:

Assertion:- Circuits containing high capacity capacitors, charged to high voltages should be handled with caution, even when the current in the circuit is switched off.
Reason:- When an isolated capacitor is touched by hand or any other part of the human body, there is an easy path to the ground available for the discharge of the capacitor.

A parallel plate capacitor of plate area $A$ and plate separation $d$ is charged to potential $V$ and then the battery is disconnected. A slab of dielectric constant $k$ is then inserted between the plates of the capacitors so as to fill the space between the plates. If $Q,E$ and $W$ denote respectively, the magnitude of charge on each plate, the electric field between the plates (after the slab is inserted) and work done on the system in question in the process of inserting the slab, then state incorrect relation from the following

The stopping potential of anode relative to cathode that must be applied to stop the fastest photo ${e^ - }s$ emitted by surface having work function 5.01 eV, when UV light of wavelength 200 nm falls on it, must be:-

An air capacitor is connected to a battery. The effect of filling the space between the plates with a dielectric is to increase

A $500\mu F$ capacitor is charged at a steady rate of $100\mu C/\mathrm{second}.$ The potential difference across the capacitor will be $10\;V$ after an interval of

A system of two charges separated by a certain distance apart stores electrical potential energy. If the distance between them is increased, the potential energy of the system:

The energy stored in a capacitor of capacitance $100 \mu F$ is $50 J$. Its potential difference is

A hollow conducting sphere of radius $R$ has a charge $\left( { + Q} \right)$ on its surface. What is the electric potential within the sphere at a distance $r = R/3$ from its centre

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 capacitor of capacitance $C_1$ is charged to a potential $V$ and then connected in parallel to an uncharged capacitor of capacitance $C_2$. The final potential difference across each capacitor will be

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