Capacitance Practice Level - 1 - Class 12 MCQ

If K is the dielectric constant of a medium and  permittivity of free space, then the energy stored per unit volume of the medium is given by:

If parallel plate capacitor has plates with area A and separation d. A battery charges the plates to a potential difference V₀. The battery is then disconnected and a dielectric slab of thickness d is introduced. The ratio of energy stored in the capacitor before and after the slab is introduced, is:

The resultant capacitance between A and B in the Fig.

In the given figure, three capacitors C₁, C₂ and C₃ are joined to a battery, with symbols having their usual meanings, the correct conditions will be

n capacitors each having capacitance C and breakdown voltage V are joined in parallel. The capacitance and the breakdown voltage of the combination are:

An infinite number of identical capacitors each of capacitance 1 μF are connected as shown in the figure. Then the equivalent capacitance between A and B is:

Two identical parallel plate capacitors are placed in series and connected to a constant voltage source of V₀ volt. If one of the capacitors is completely immersed in a liquid with dielectric constant K, the potential difference between the plates of the other capacitor will change to:

Six equal capacitors each of capacitance C are connected as shown in the figure. Then the equivalent capacitance between A and B is:

A battery of emf V volt, resistors R₁ and R₂, a condenser C and switches S₁ and S₂ are connected in the circuit as shown in the figure below:

Two identical parallel plate capacitors of same dimensions joined in series are connected to a DC source. When one of the plates of one capacitor is brought closer to the other plate:

A parallel plate condenser with plate area A and separation d is filled with two dielectric materials as shown in the given below. The dielectric constants are K₁ and K₂ respectively. The capacitance will be:

A circuit has a section AB as shown in the figure. If the potential difference A between points A and B is V volt, then potential difference across C₁ is:

For the circuit shown in the figure, the charge on 4μF capacitor is:

Two capacitors, 3μF and 4μF, are individually charged across a 6 volt battery. After being disconnected from the battery they are connected together with the negative plate of one attached to the positive plate of the other. What is the common potential?

The plates of a parallel plate capacitor are charged up to 100 volt. A 2 mm thick plate is inserted between the plates, then to maintain the same potential difference, the distance between the capacitor plates is increased by 1.6 mm. The dielectric constant of the plate is:

A capacitor of capacitance 1μF withstands a maximum voltage of 6 kV, while another capacitor of capacitance 2μF, the maximum voltage 4 kV. If they are connected in series, the combination can withstand a maximum of

Seven capacitors each of capacitance 2μF are to be connected to obtain a capacitance of (10/11) μF. Which of the following combinations is possible?

Condenser A has a capacity of 15 μF when it is filled with a medium of dielectric constant 15. Another condenser B has a capacity of 1μF with air between the plates. Both are charged separately by a battery of 100 V. After charging, both are connected in parallel without the battery and the dielectric material being removed. The common potential is now:

Four identical capacitors are connected in series with a 10 V battery as shown. The point N is earthed. The potentials of points A and B are:

A parallel plate capacitor with air as medium between the plates has a capacitance of 10μF. The area of the capacitor is divided into two equal halves and filled with two media having dielectric constants K₁ = 2 and K₂ = 4. The capacitance of the system will now be:

A parallel plate capacitor with a dielectric slab ( = 3) filling the space between the plates is charged to potential V and isolated. Then the dielectric slab is drawn out and another dielectric of equal thickness but  = 2 is introduced between the plates. The ratio of the energy stored in the capacitor later to that initially is:

You are given 32 capacitors each having capacity 4 μF. How do you connect all of them to prepare a composite capacity having a capacitance 8μF?

A parallel plate condenser is filled with two dielectrics as shown in figure. Area of each plate is A metre² and the separation is d metre. The dielectric constants are K₁ and K₂ respectively. Its capacitance in farad will be:

A parallel plate capacitor of area A, plate separation d and capacitance C is filled with three different dielectric materials having dielectric constants K₁, K₂ and K₃ as shown. If a single dielectric material is to be used to have the same capacitance C in this capacitor, then its dielectric constant K is given by: (A = Area of plates)

Two spherical conductors A and B of radii a and b (b > a) are placed concentrically in air. A is given a charge +Q while B is earthed. Then the equivalent capacitance of the system is:

Two spherical conductors A and B of radii a and b(b > a) are placed concentrically in air. B is given a charge +Q and A is earthed. The equivalent capacitance of the system is :

Two spherical conductors A and B of radii a and b (b > a) are placed concentrically in air. The two are connected by a copper wire as shown in figure. Then the equivalent capacitance of the system is: