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Electrostatics — JEE Practice

45 practice questions across 3 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

3 Topics45 Questions

Coulomb's Law & Electric Field(15 Qs)

easy (5)

Q1Coulomb's law states that the force between two charges is:Q2The SI unit of electric charge is:Q3Electric field at a point is defined as:Q4The electric field due to a point charge q at distance r is:Q5Like charges:

medium (5)

Q1The electric field at the centre of a uniformly charged ring of radius R and charge Q is:Q2The electric field on the axis of a uniformly charged ring (charge Q, radius R) at distance x from centre is:Q3The electric field due to an infinite line charge (linear density λ) at distance r is:Q4Two equal and opposite charges separated by a small distance form a:Q5The electric field due to an infinite plane sheet of charge density σ is:

hard (5)

Q1The electric field at a point on the axis of a uniformly charged disc (radius R, surface charge σ) at distance x is:Q2The torque on a dipole of moment p in a uniform field E is:Q3The PE of a dipole in a uniform electric field is:Q4A conducting sphere of radius R has charge Q. The electric field just outside is:Q5The force between two parallel infinite plane sheets with charge densities +σ and -σ is:

Gauss Law(15 Qs)

easy (5)

Q1Gauss's law states that the electric flux through a closed surface equals:Q2Electric flux is defined as:Q3The SI unit of electric flux is:Q4The electric flux through a closed surface enclosing no charge is:Q5Gauss's law is most useful for calculating fields with:

medium (5)

Q1A charge Q is at the centre of a cube. The flux through one face is:Q2The electric field inside a uniformly charged non-conducting sphere (total charge Q, radius R) at distance r from centre is:Q3For a conducting sphere with charge Q, the electric field inside is:Q4A spherical shell of inner radius a and outer radius b has charge Q on it. A point charge q is at the centre. The field for r > b is:Q5The electric field between two concentric conducting shells (inner charge +Q on radius a, outer charge -Q on radius b) for a < r < b:

hard (5)

Q1A long cylinder of radius R has volume charge density ρ = ρ₀(r/R). The electric field at distance r < R is:Q2A sphere of radius R has charge density ρ = ρ₀(1-r/R). The maximum electric field occurs at:Q3A charge q is placed at one corner of a cube. The flux through the opposite face is:Q4An infinite slab of thickness 2d has uniform charge density ρ. The electric field at distance x from the centre (x < d) is:Q5A non-conducting sphere has a spherical cavity. If the sphere has uniform charge density ρ, the field inside the cavity is:

Electric Potential & Capacitance(15 Qs)

easy (5)

Q1Electric potential at a point is the:Q2The SI unit of electric potential is:Q3Capacitance of a parallel plate capacitor is:Q4Capacitors in parallel have equivalent capacitance:Q5The energy stored in a capacitor is:

medium (5)

Q1The potential due to a point charge q at distance r is:Q2Equipotential surfaces are always:Q3When a dielectric of constant K is inserted in a capacitor (battery connected):Q4Two capacitors 3μF and 6μF in series have equivalent capacitance:Q5The potential at the surface of a conducting sphere of radius R and charge Q is:

hard (5)

Q1The capacitance of a spherical capacitor (inner radius a, outer radius b) is:Q2A capacitor C is charged to V and disconnected. A dielectric K is then inserted. The energy:Q3The force between plates of a parallel plate capacitor with charge Q is:Q4The energy density (energy per unit volume) in an electric field E is:Q5A conducting sphere of radius R₁ is connected by a wire to a distant sphere of radius R₂. The charge distribution satisfies:

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