AIIMS Physics Electrostatic Potential And Capacitance Class 12 Questions

A sphere pure rolls on a rough inclined plane with initial velocity $2.8\text{ m/s}$. Find the maximum distance on the inclined plane.

Calculate charge on capacitor in steady state.

Find the charge in steady state of the capacitor.

When capacitor is fully charged, find current drawn from the cell. 9V C.

If two protons are moving with speed v = 4.5×10⁵ m/s parallel to each other then the ratio of electrostatic and magnetic force between them

Dimension of Capacitance is

A capacitor is connected to a battery of voltage $V$. Now a dielectric slab of dielectric constant $k$ is completely inserted between the plates, then the final charge on the capacitor will be: (If initial charge is $q_0$)

Find charge on the capacitor after 1 sec of opening the switch at t = ∞?

A capacitor of capacitance 15nF having dielectric slab of εᵣ = 2.5 dielectric strength 30 MV/m and potential difference = 30 volt calculate the area of plate.

A capacitor of capacitance 9nF having dielectric slab of εᵣ = 2.4 dielectric strength 20 MV/m and P.D. = 20V calculate area of plates.

Assertion : On bringing a positively charged rod near the uncharged conductor, the conductor gets attracted towards the rod. Reason : The electric field lines of the charged particles rod are perpendicular to the surface of conductor.

If the electric field is given by (5î + 4ĵ + 9k̂). The electric flux through a surface of area 20 units lying in the Y⁻Z plane will be

Three charges 2q, -q and -q are located at the vertices of an equilateral triangle. At the center of the triangle

A 5.0 μF capacitor is charged to a potential difference 800 V and discharged through a conductor. The energy given to a conductor during the discharge is

Assertion : On distributing an electric dipole in stable equilibrium in an electric field, it returns back to its stable equilibrium orientation. Reason : A restoring torque acts on the dipole on being distributed from its stable equilibrium.

Assertion: A parallel plate capacitor is connected across battery through a key. A dielectric slab of dielectric constant k is introduced between the plates. The energy stored becomes k times. Reason: The surface density of charge on the plate remains constant.

Assertion: On bringing a positively charged rod near the uncharged conductor, the conductor gets attracted towards the rod. Reason: The electric field on the surface of a conductor is directly proportional to the surface charge density at that point.

Electric field inside the capacitor is $E$ and dielectric constant of material is $K$. Find charge density $\sigma$ on the plates. Given $E = 6 \times 10^5\text{ V/m}$, $K = 6$

A parallel plate capacitor of 1 μF capacity is discharging through a resistor. If its energy reduces to half in one second. The value of resistance will be

For the circuit shown in the figure, the charge on $2\mu\text{F}$ capacitor is

In an LCR circuit inductance is L, resistance is R and quality factor is Q then find the capacitance of the circuit

A uniformly charged non-conducting disc with surface charge density $10\text{ nC/m}^2$ having radius $R = 3\text{ cm}$. Then find the value of electric field intensity at a point on the perpendicular bisector at a distance of $r = 2\text{ cm}$.

A square surface of side L meter in the plane of the paper is placed in a uniform electric field E (volt/m) acting along the same plane at an angle θ with the horizontal side of the square as shown in Figure. The electric flux linked to the surface is

A point charge –Q is positioned at the center of the base of a square pyramid as shown. The flux through one of the four identical upper faces of the pyramid is

A parallel plate air capacitor has a capacitance of 100 μF. The plates are at a distance of d apart. If a slab of thickness t (t << d) and dielectric constant 5 is introduced between the parallel plates, then the capacitance will be

The dimensional formula for electric flux is

An electron of mass Mₑ, initially at rest, moves through a certain distance in a uniform electric field in time t₁. A proton of mass Mₚ, also initially at rest, takes time t₂, to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio t₂/t₁ is nearly equal to

Assertion: The property that the force with which two charges attract or repel each other are not affected by the presence of a third charge. Reason: Force on any charges due to a number of other charge is the vector sum of all the forces on that charge due to other charges, taken one at a time.

Assertion: Net electric field insider conductor is zero Reason: Total positive charge equals to total negative charge in a conductor

Assertion: All the charge in a conductor gets distributed on whole of its outer surface. Reason: In a dynamic system, charges try to keep their potential energy minimum

Assertion : A point charge is brought in an electric field. The field at a nearby point will increase, whatever be the nature of the charge. Reason : The electric field is independent of the nature of charge.

Assertion : On going away from a point charge or a small electric dipole, electric field decreases at the same rate in both the cases. Reason : Electric field is directly proportional to square of distance from the charge or an electric dipole.

Assertion: On moving a distance two times the initial distance away from an infinitely long straight uniformly charged wire the electric field reduces to one third of the initial value. Reason: The electric field is inversely proportional to the distance from an infinitely long straight uniformly charged wire.

Assertion : For a non-uniformly charged thin circular ring with net charge is zero, the electric field at any point on axis of the ring is zero.

Assertion (A) A spherical equipotential surface is not possible for a point charge. Reason (R) A spherical equipotential surface is possible inside a spherical capacitor.

Assertion: Electric field is discontinuous across the surface of a spherical charged shell. Reason: Electric potential is continuous across the surface of a spherical charged shell.

Each of these questions contains two statements. Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below. Assertion (A) A charge q is placed on a height h/4 above the centre of a square of side b. The flux associated with the square is independent of side length. Reason (R) Gauss's law is independent of size of the Gaussian surface.

A particle having a charge 10 mC is held fixed on a horizontal surface. A block of mass 80 g and having charge stays in equilibrium on the surface at the distance of 3 cm from the first charge. The coefficient of friction between the surface and the block is 0.5. Find the range within the charge on the block may lie

A parallel plate capacitor has an electric field of $10^5\text{ Vm}^{-1}$ between the plates. If the charge on the capacitor plates is $1\ \mu\text{C}$, the force on each capacitor plate is

A parallel plate capacitor of capacitance $C$ is connected to a battery and charged to the potential difference $V$. Another capacitor of capacitance $2C$ is connected to another battery and is charged to a potential difference $2V$. The charging batteries are now disconnected and the capacitors are connected in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

The charges +q and −q are placed at the points A and B respectively which are a distance 2L apart, C is the mid-point between A and B. The work done in moving a charge +Q along the semicircle CRD is

Three identical charges are placed at the vertices of an equilateral triangle. The force experienced by each charge, (if k = 1/4πε₀) is

Two charged spheres separated by a distance ‘d’ exert some force on each other. If they are immersed in a liquid of dielectric constant 2, then what is the force exerted, if all other conditions are same?

Assertion: Lines of force are perpendicular to conductor surface. Reason: Generally electric field is perpendicular to equipotential surface.

The dimensional formula for electric flux is

An electron of mass Mₑ, initially at rest moves through a certain distance in a uniform electric field in time t₁. A proton of mass Mₚ also initially at rest, takes time t₂ to move through an equal distance in this uniform electric field, Neglecting the effect of gravity, the ratio t₂/t₁ is nearly equal to

Assertion (A) A spherical equipotential surface is not possible for a point charge. Reason (R) A spherical equipotential surface is possible inside a spherical capacitor.

Assertion (A) A charge q is placed on a height h/4 above the centre of a square of side b. The flux associated with the square is independent of side length. Reason (R) Gauss’s law is independent of size of the Gaussian surface.

Assertion When charges are shared between any two bodies no charge is really lost some loss of energy does occurs. Reason Some energy disappears in the form of heat, sparking etc.

Find the voltage drop across a capacitor connected with a resistance and a battery of 60 V in series after a long time.