This page covers Agniveer (All) Electrostatic Potential & Capacitance with complete concept notes, 18 graded practice MCQs, key points and exam-specific tips. Free to study.
The electrostatic potential at a distance of 2 m from a point charge of 4 μC in vacuum is approximately:
Practice 2easy
The work done in bringing a charge of 5 C from infinity to a point where the electrostatic potential is 200 V is:
Practice 3easy
A parallel plate capacitor has a plate area of 0.5 m² and separation of 2 mm. If the dielectric constant of the medium is 2, calculate the capacitance. (ε₀ = 8.85 × 10⁻¹² F/m)
Practice 4easy
Two capacitors of capacitance 5 μF and 10 μF are connected in series across a 60 V battery. What is the equivalent capacitance?
Practice 5easy
A capacitor of capacitance 10 μF is charged to a potential difference of 100 V. What is the charge stored on the capacitor?
Practice 6medium
The equipotential surfaces due to a point charge are:
Practice 7medium
Two capacitors of capacitance 3 µF and 6 µF are connected in series across a 90 V source. What is the charge on the 3 µF capacitor?
Practice 8medium
A spherical conductor of radius 0.5 m carries a charge of 2 × 10⁻⁸ C. The electric potential at its surface is: (Take k = 9 × 10⁹ N·m²/C²)
Practice 9medium
What is the relationship between electric field E and electric potential V for a uniform electric field?
Practice 10medium
A parallel plate capacitor with air between plates has capacitance 10 µF. If the space is filled with a dielectric of constant 8, and the separation is reduced to half, the new capacitance is:
Practice 11medium
A parallel plate capacitor has plate area 2 m² and plate separation 2 mm. If the dielectric constant of the medium between plates is 5, calculate the capacitance. (Take ε₀ = 8.85 × 10⁻¹² F/m)
Practice 12medium
The electric potential at a distance of 3 m from a point charge is 600 V. What is the electric potential at a distance of 6 m from the same charge?
Practice 13medium
A capacitor is charged to a potential difference of 100 V and stores a charge of 4 × 10⁻⁴ C. What is the energy stored in the capacitor?
Practice 14medium
The work done in bringing a charge of 5 C from infinity to a point where the electric potential is –200 V is:
Practice 15hard
The electric potential at a point located 0.1 m from an isolated conducting sphere of radius 0.05 m is 900 V. What is the charge on the sphere? (Given: k = 9 × 10⁹ N·m²/C²)
Practice 16hard
A capacitor is charged to a potential difference of 100 V and then isolated. If the plate separation is doubled while keeping charge constant, what is the new potential difference across the capacitor?
Practice 17hard
Two identical conducting spheres have charges +8 μC and −2 μC. When brought into contact and separated, the electric potential at a distance r = 0.9 m from each sphere becomes 10 kV. What is the charge on each sphere after contact? (Given: k = 9 × 10⁹ N·m²/C²)
Practice 18hard
A parallel plate capacitor has plate area A = 0.5 m² and separation d = 2 mm. If the capacitance is 22.125 pF, what is the dielectric constant of the material between the plates? (Given: ε₀ = 8.85 × 10⁻¹² F/m)