Capacitors & Dielectrics: JEE Questions & Solutions

A parallel plate capacitor has capacitance C, when there is vacuum within the parallel plates. A sheet having thickness 1/3d of the…

A capacitor P with capacitance 10×10⁻⁶ F is fully charged with a potential difference of 6.0 V and disconnected from the battery. The…

The space between the plates of a parallel plate capacitor of capacitance C (without any dielectric) is now filled with three dielectric…

A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a mica sheet of thickness 2 mm and…

Three parallel plate capacitors each with area A and separation d are filled with two dielectric (k₁ and k₂) in the following fashion. (k₁…

Identify the correct statements: [A.] Effective capacitance of a series combination of capacitors is always smaller than the smallest…

A parallel-plate capacitor of capacitance 40 μ F is connected to a 100 V power supply. Now the intermediate space between the plates is…

Identify the valid statements relevant to the given circuit at the instant when the key is closed. A: There will be no current through…

At steady state, the charge on the capacitor, as shown in the circuit below, is μ C.

Consider a parallel plate capacitor of area A (of each plate) and separation d between the plates. If E is the electric field and ε₀ is the…

A parallel plate capacitor was made with two rectangular plates, each with a length of l = 3 cm and breadth of b = 1 cm. The distance…

Two capacitors C₁ and C₂ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored…

A parallel plate capacitor of capacitance 1 μF is charged to a potential difference of 20 V. The distance between plates is 1 μm. The…

A capacitor, C₁ = 6 μ F, is charged to a potential difference of V₁ = 5 V using a 5V battery. The battery is removed and another capacitor,…

A parallel plate capacitor consisting of two circular plates of radius 10 cm is being charged by a constant current of 0.15 A. If the rate…

A parallel plate capacitor is filled equally (half) with two dielectrics of dielectric constant ε₁ and ε₂, as shown in figures. The…

Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is…

Four capacitors each of capacitance 16 μ F are connected as shown in the figure. The capacitance between points A and B is: (in μ F).

Three parallel plate capacitors C₁, C₂, and C₃ each of capacitance 5 μF are connected as shown in the figure. The effective capacitance…

A parallel plate capacitor has charge 5 × 10⁻⁶ C. A dielectric slab is inserted between the plates and almost fills the space between the…

Two metal spheres of radius R and 3R have same surface charge density σ. If they are brought in contact and then separated, the surface…

Space between the plates of a parallel plate capacitor of plate area 4 cm² and separation of d = 1.77 mm, is filled with two uniform…

In the given figure, the charge stored in a 6 μF capacitor, when points A and B are joined by a connecting wire, is μC: The figure shows: a…

A capacitor of capacitance C and potential V has energy E. It is connected to another capacitor of capacitance 2C and potential 2V. Then…

A parallel plate capacitor with air between the plates has a capacitance of 15 pF. The separation between the plates becomes twice and the…

A parallel plate capacitor has plate area 40 cm² and plate separation 2 mm. The space between the plates is filled with a dielectric medium…

A capacitor has a capacitance of 5 μ F when its parallel plates are separated by an air medium of thickness d. A slab of material with a…

Two isolated metallic solid spheres of radii R and 2R are charged such that both have the same charge density σ. The spheres are then…

A capacitor of capacitance 900 μ F is charged by a 100 V battery. The capacitor is disconnected from the battery and connected to another…

Two parallel plate capacitors C₁ and C₂, each having capacitance of 10 μ F are individually charged by a 100 V D.C. source. Capacitor C₁ is…

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Two metallic spheres are…

A parallel plate capacitor with plate area A and plate separation d is filled with a dielectric material of dielectric constant K = 4. The…

As shown in the figure, two parallel plate capacitors having equal plate area of 200 cm² are joined in such a way that a ≠ b. The…

The equivalent capacitance of the combination shown is:

The distance between two plates of a capacitor is d and its capacitance is C₁, when air is the medium between the plates. If a metal sheet…

A parallel plate capacitor of capacitance 2 F is charged to a potential V. The energy stored in the capacitor is E₁. The capacitor is now…

In the given circuit, C₁ = 2 μF, C₂ = 0.2 μF, C₃ = 2 μF, C₄ = 4 μF, C₅ = 2 μF, C₆ = 2 μF. The charge stored on capacitor C₄ is μC. The…

64 identical drops each charged up to a potential of 10 mV are combined to form a bigger drop. The potential of the bigger drop will be mV.

In the network shown below, the charge accumulated in the capacitor in steady state will be: The figure shows: a rectangular network of…

In the circuit shown below, the energy stored in the capacitor is n μJ. The value of n is.

In the given figure, the total charge stored in the combination of capacitors is 100 μ C. The value of x is.