AIIMS Physics Electrostatic Potential And Capacitance Class 12 Questions

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

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.

Dimension of Capacitance is

The initial charge on the capacitor is, \(q_0 = C_0V = rac{\varepsilon_0 A}{d} V\) The charge on the capacitor when di-electric is inserted is,

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.

Though the net charge on the conductor is still zero but due to induction negatively charged regions in nearer to the rod as compared to the positively charged region. That is why the conductor gets attracted towards the rod.

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: 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.

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

The expression to calculate the charge density σ is given as, E = σ/ε₀K. Substitute the values.

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

The dimensional formula for electric flux is

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.

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

Assertion: An electrostatic field line never form closed loop. Reason: Electrostatic field is a conservative field.

Energy stored in between the plates of parallel plate capacitor of area A, separated by distance d is

What would be the voltage across C₃?

An electric charge 10⁻³ μC is placed at the origin (0, 0) of (x-y) co-ordinate system. Two points A and B are situated at (√2, √2) and (2,0) respectively. The potential difference between the points A and B will be

Four charges are arranged at the corners of a square as shown in the figure. The direction of electric field at the centre of the square is along

A conducting sphere of radius R carrying charge Q lies inside an uncharged conducting shell of radius 2R. If they are joined by a metal wire, the amount of heat that will be produced is:

What is the energy stored in the capacitor between terminals a and b of the network shown in the figure? (Capacitance of each capacitance C = 1 μF)

Assertion : Electric potential of earth is taken zero. Reason : No electric field exists on earth surface.

Electric field at centre of a uniformly charged semicircle of radius a is

Five capacitors, each of capacitance value C are connected as shown in the figure. The ratio of capacitance between P and R, and the capacitance between P and Q is

A 50 Hz a.c. source of 20 volts is connected across R and C as shown in figure. The voltage across R is 12 volt. The voltage across C is

Two parallel beams of positrons moving in the same direction will

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

A 40 μF capacitor in a defibrillator is charged to 3000 V. The energy stored in the capacitor is sent through the patient during a pulse of duration 2 ms. The power delivered to the patient is

In the given figure, the capacitance C₁, C₃, C₅ have a capacitance 4 μF each. If the capacitor C₂ has a capacitance 10 μF, then the effective capacitance between A and B will be

A conducting sphere of radius 10 cm is charged with 10 μC. Another uncharged sphere of radius 20 cm is allowed to touch it for some time. After that if the spheres are separated, then surface density of charges on the spheres will be in the ratio of

If a unit positive charge is taken from one point to another over an equipotential surface, then

Given a number of capacitors labelled as 8 μF, 250 V. Find the minimum number of capacitors needed to get an arrangement equivalent to 16 μF, 1000 V.

An insulated charged sphere of radius 5 cms has a potential of 10 V at the surface. What is the potential at centre?

Seven capacitors each of capacitance 2 mF are to be connected to obtain a capacitance of 10/11 mF. Which of the following combination is possible?

Potential energy of equal +ve charge 1 μC held 1 m apart in air is

Electric potential V at any point x, y, z in space is given by V = 6z². The value of the electric field at the point (2, -1, 3) is