NEET Physics Electrostatic Potential And Capacitance Class 12 Questions

Three charges Q, +q and +q are placed at the vertices of a right-angled isosceles triangle as shown. The net electrostatic energy of the configuration is zero if Q is equal to

In the given circuit, rms value of current (Iₘₛ) through the resistor R is :

Three charges Q, +q and -q are placed at the vertices of an equilateral triangle of side l as shown in the figure. If the net electrostatic energy of the system is zero, then Q is equal to

Five charges q each are placed at the corners of a regular pentagon of side a. What will be the electric field at O if the charge at A is replaced by –q?

Given below are two statements: Statement I: When the frequency of an a.c. source in a series LCR circuit increase, the current in the circuit first increases, attains a maximum value and then decreases. Statement II: In a series LCR circuit, the value of power factor at resonance is one. In the light of given statements, choose the most appropriate answer from the options given below:

Five capacitors of capacitances C₁ = C₂ = C₃ = C₄ = 10 μF and C₅ = 2.5 μF are connected as shown, along with a battery of 50 V. The equivalent capacitance and the charges on each capacitor respectively are:

Which of the following statements are correct? A. Inside a conductor, the electrostatic field is zero. B. Electric field at the surface of a charged conductor does not depend on its surface charge density. C. The interior of a charged conductor can have no excess charge in the static situation. D. At the surface of a charged conductor, the electrostatic field must be normal to the surface at every point. E. The electrostatic potential is zero everywhere inside a charged conductor. Choose the correct answer from the options given below:

The plates of a parallel plate capacitor are separated by d. Two slabs of different dielectric constant K₁ and K₂ with thickness 3d/8 and d/2, respectively are inserted in the capacitor. Due to this, the capacitance becomes two times larger than when there is nothing between the plates. If K₁ = 1.25 K₂, the value of K₁ is :

In the following circuit, the equivalent capacitance between terminal A and terminal B is:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The potential \( (V) \) at any axial point, at 2 m distance \( r \) from the centre of the dipole of dipole moment vector \( \vec{P} \) of magnitude, \( 4 \times 10^{-6} \) C m, is \( \pm 9 \times 10^3 \) V. (Take \( \frac{1}{4\pi\varepsilon_0} = 9 \times 10^9 \) SI units) Reason R: \( V = \pm \frac{2P}{4\pi\varepsilon_0 r^2} \), where \( r \) is the distance of any axial point, situated at 2 m from the centre of the dipole. In the light of the above statements, choose the correct answer from the options given below:

A thin spherical shell is charged by some source. The potential difference between the two points C and P (in V) shown in the figure is: (Take \( \frac{1}{4\pi\varepsilon_0} = 9 \times 10^9 \) SI units)

A parallel plate capacitor is charged by connecting it to a battery through a resistor. If I is the current in the circuit, then in the gap between the plates:

If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then A. the charge stored in it, increases. B. the energy stored in it, decreases. C. its capacitance increases. D. the ratio of charge to its potential remains the same. E. the product of charge and voltage increases. Choose the most appropriate answer from the options given below:

The equivalent capacitance of the system shown in the following circuit is:

An electric dipole is placed as shown in the figure. The electric potential (in 10² V) at point P due to the dipole is (ε₀ = permittivity of free space and <span style="display:inline-flex;flex-direction:column;align-items:center;vertical-align:middle;margin:0 2px;"><span style="border-bottom:1px solid currentColor;padding:0 2px;">1</span><span style="padding:0 2px;">4πε₀</span></span> = K):

The angle between the electric lines of force and the equipotential surface is:

Two hollow conducting spheres of radii R₁ and R₂ (R₁ >> R₂) have equal charges. The potential would be:

A capacitor of capacitance C = 900 pF is charged fully by 100 V battery B as shown in figure (a). Then it is disconnected from the battery and connected to another uncharged capacitor of capacitance C = 900 pF as shown in figure (b). The electrostatic energy stored by the system (b) is:

The equivalent capacitance of the combination shown in the figure is:

A parallel plate capacitor has a uniform electric field 'E' in the space between the plates. If the distance between the plates is 'd' and the area of each plate is 'A', the energy stored in the capacitor is : (ε₀ = permittivity of free space)

Twenty seven drops of same size are charged at 220 V each. They combine to form a bigger drop. Calculate the potential of the bigger drop.

A spherical conductor of radius 10 cm has a charge of 3.2 × 10⁻⁷ C distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere?

In a certain region of space with volume 0.2 m³, the electric potential is found to be 5 V throughout. The magnitude of electric field in this region is:

A short electric dipole has a dipole moment of 16 × 10⁻⁹ C m. The electric potential due to the dipole at a point at a distance of 0.6 m from the centre of the dipole, situated on a line making an angle of 60° with the dipole axis is: (\(\frac{1}{4\pi\varepsilon_0} = 9 \times 10^9 \text{ N m}^2/\text{C}^2\))

The capacitance of a parallel plate capacitor with air as medium is 6 μF. With the introduction of a dielectric medium, the capacitance becomes 30 μF. The permittivity of the medium is:

A 40 μF capacitor is connected to a 200 V, 50 Hz ac supply. The rms value of the current in the circuit is, nearly :

The electrostatic force between the metal plates of an isolated parallel plate capacitor C having a charge Q and area A, is

A capacitor is charged by a battery. The battery is removed and another identical uncharged capacitor is connected in parallel. The total electrostatic energy of resulting system

A capacitor of 2 μF is charged as shown in the diagram. When the switch S is turned to position 2, the percentage of its storage energy dissipated is

A parallel plate capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dielectric constant k, which can just fill the air gap of the capacitor, is now inserted in it. Which of the following is incorrect?

Two thin dielectric slabs of dielectric constants k₁ and k₂ (k₁ < k₂) are inserted between plates of a parallel plate capacitor as shown in the figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by

In a region, the potential is represented by V(x, y, z) = 6x – 8xy – 8y + 6yz, where V is in volts and x, y, z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (1, 1, 1) is