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#1 Class Class 12 Physics Electric Charge and Field 2023 Short 3M

In a certain region of space, electric field is along the z-direction throughout. The magnitude of electric field is however not constant but increases uniformly along the positive z-direction at the rate of 10⁵ N/C per metre. What are the force and torque experienced by a system having a total dipole moment equal to 10⁻⁷ C·m in the negative z-direction?

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#2 Class Class 12 Physics Electric Charge and Field 2023 Short 3M

Two charges of +25 × 10⁻⁹ C and -25 × 10⁻⁹ C are placed 6 m apart. Find the electric field at a point 4 m from the centre of the electric dipole (a) On axial line (b) On equatorial line.

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#3 Class Class 12 Physics Electric Charge and Field 2022 Short 3M

A particle of mass 10⁻³ kg and charge 5 µC is thrown at a speed of 20 m/s against a uniform electric field of strength 2 × 10⁵ N/C. How much distance will it travel before coming to rest momentarily?

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#4 Class Class 12 Physics Electric Charge and Field 2024 Short 2M

Two insulated charged copper spheres A and B each having charge of 6.5 × 10⁻⁷ C are separated by a distance 50 cm. If they are placed in water of dielectric constant 80, then find the electrostatic force of repulsion between them.

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#5 Class Class 12 Physics Electric Charge and Field 2024 Short 3M

Three charges 10 µC, 5 µC and -5 µC are placed in air at the three corners A, B and C of an equilateral triangle of side 0.1 m. Find the resultant force experienced by the charge placed at corner A.

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#6 Class Class 12 Physics Electric Charge and Field 2024 Mcq 1M

Four equal charges each q are placed at the corners of a square of side a. Then the Coulomb force experienced by one charge due to the rest of three is:

A. (kq²/a²)(1/2 + √2)

B. (kq²/a²)(1 + 1/√2)

C. (kq²/a²)(2 + 1/√2)

D. (kq²/a²)(2√2 + 1)

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#7 Class Class 12 Physics Electric Charge and Field 2024 Short 2M

A charge "Q" is divided into two parts such that the electrostatic force between two parts is maximum. Find the charge on each part.

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#8 Class Class 12 Physics Electric Charge and Field 2024 Short 2M

Two point charges +2 µC and +4 µC repel each other with a force of 20 N. If a charge of −6 µC is added to each of them, what is the new electrostatic force?

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#9 Class Class 12 Physics Electric Charge and Field 2011 Short 3M

A charge q = 1 mC is placed at point (1 m, 2 m, 4 m). Find the electric field at point P(0 m, -4 m, 3 m).

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#10 Class Class 12 Physics Electric Charge and Field 2010 Short 2M

Calculate the amount of work done in turning an electric dipole of dipole moment 3 × 10⁻⁸ C·m from its position of unstable equilibrium to the position of stable equilibrium in a uniform electric field of intensity 10³ N/C.

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#11 Class Class 12 Physics Electric Charge and Field 2016 Short 3M

An infinite number of charges each equal to q are placed along X-axis at x = 1, x = 2, x = 4, x = 8 and so on. Find the electric field at the point x = 0 due to this set up of charges.

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#12 Class Class 12 Physics Electric Charge and Field 2024 Short 2M

A metal sphere has a charge of −6 µC. When 5 × 10¹² electrons are removed from the sphere, what would be the net charge on it?

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#13 Class Class 12 Physics Electric Charge and Field 2015 Long 5M

A charge is distributed uniformly over a ring of radius R. Obtain an expression for the electric intensity E at a point on the axis of the ring. Hence show that for points at large distances from the ring, it behaves like a point charge.

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#14 Class Class 12 Physics Electric Charge and Field 2024 Long 5M

(i) Define electric intensity. (ii) Derive an expression for electric intensity at a point situated on the axis of an electric dipole.

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#15 Class Class 12 Physics Electric Charge and Field 2019 Long 5M

What is an electric dipole? Derive an expression for the torque acting on an electric dipole when held in a uniform electric field. Hence, define the dipole moment.

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#16 Class Class 12 Physics Electric Charge and Field 2018 Short 3M

Two infinitely large plane thin parallel sheets having surface charge densities σ₁ and σ₂ (σ₁ > σ₂) are shown in the figure. Write the magnitudes and directions of the net fields in the regions marked II and III.

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#17 Class Class 12 Physics Electric Charge and Field 2024 Long 5M

(a) Define electric flux and write its SI unit. (b) Use Gauss\'s law to obtain the expression for the electric field due to a uniformly charged infinite plane sheet of charge.

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#18 Class Class 12 Physics Electric Charge and Field 2024 Long 5M

State Gauss\'s theorem in electrostatics. Using this theorem, derive an expression for the electric field due to an infinitely long straight wire of linear charge density λ.

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#19 Class Class 12 Physics Electric Charge and Field 2018 Short 3M

A charge q is placed inside a sphere of radius \"a\" filled with water and another charge 2q is placed inside a cube of side \"2a\" which is vacuumed inside. Find the ratio of the flux linked with the sphere to that linked with the cube. (Take relative permittivity of water as 80)

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#20 Class Class 12 Physics Electric Charge and Field 2019 Short 3M

Two point charges q₁ and q₂ are located at points (a, 0, 0) and (0, b, 0) respectively. Find the electric field due to both these charges at the point (0, 0, c).

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