MCQ 2 : Electrostatic Potential and Capacitance

 

 Electrostatic Potential and Capacitance

1. The electric potential at a point in an electric field is defined as the a) work done in bringing a unit charge from infinity to that point b) force experienced by a unit charge at that point c) magnitude of the electric field at that point d) charge per unit area at that point

Answer: a) work done in bringing a unit charge from infinity to that point

2. Which of the following quantities is a scalar? a) Electric field b) Electric potential c) Electric flux d) Electric dipole moment

Answer: b) Electric potential

3. The electric potential at a point due to a point charge is given by a) kq/r b) kq/r^2 c) qr/k d) qr^2/k

Answer: a) kq/r

4. The unit of electric potential is a) volt b) coulomb c) joule d) newton

Answer: a) volt

5. The electric potential at a point inside a charged sphere of radius R and charge Q is a) 1/4πε_0 Q/R b) 1/4πε_0 Q/R^2 c) 1/4πε_0 Q^2/R d) 1/4πε_0 Q^2/R^2

Answer: b) 1/4πε_0 Q/R^2

6. The electric potential at a point due to a uniformly charged ring of radius R and charge Q is maximum at a) the center of the ring b) a point on the axis of the ring c) a point on the circumference of the ring d) there is no maximum

Answer: a) the center of the ring

7. The work done in moving a unit positive charge from a point A to a point B in an electric field is equal to a) the electric potential difference between A and B b) the product of the electric field and the distance between A and B c) the product of the electric potential and the distance between A and B d) the electric field difference between A and B

Answer: c) the product of the electric potential and the distance between A and B

8. A capacitor is charged to a potential difference V. The charge stored in the capacitor is Q. If the potential difference across the capacitor is increased to 2V, the charge stored in the capacitor becomes a) Q b) 2Q c) 4Q d) Q/2

Answer: c) 4Q

9. The capacitance of a parallel plate capacitor with plate area A and separation d is a) A/ε_0d b) ε_0A/d c) ε_0d/A d) A/d

Answer: b) ε_0A/d

10. The energy stored in a capacitor with capacitance C charged to a potential difference V is a) CV b) CV^2/2 c) Q^2/2C d) QV/2

Answer: b) CV^2/2

11. The electric field inside a parallel plate capacitor with plate separation d and potential difference V is a) V/d b) 2V/d c) V/2d d) 2V/ε_0d

Answer: a) V/d

1. The electrostatic potential at a point in a region of uniform electric field is _____________. a) directly proportional to the distance from the source of the field b) directly proportional to the square of the distance from the source of the field c) inversely proportional to the distance from the source of the field d) inversely proportional to the square of the distance from the source of the field Answer: a) directly proportional to the distance from the source of the field

2. The electric potential at a point outside a charged spherical conductor is _____________. a) zero b) constant c) proportional to the radius of the sphere d) inversely proportional to the radius of the sphere Answer: d) inversely proportional to the radius of the sphere

3. The potential energy of a charge q at a distance r from a point charge Q is given by _____________. a) kQq/r b) kQq/r^2 c) kq/Qr d) kq/Qr^2 Answer: a) kQq/r

4. A parallel-plate capacitor has a plate area of 1 m² and a separation distance of 1 mm. If the electric field between the plates is 1 V/m, what is the capacitance? a) 8.85 x 10^-12 F b) 8.85 x 10^-9 F c) 8.85 x 10^-6 F d) 8.85 x 10^-3 F Answer: b) 8.85 x 10^-9 F

5. The electric potential at a point due to a charged disc is _____________. a) constant b) directly proportional to the distance from the center of the disc c) inversely proportional to the distance from the center of the disc d) directly proportional to the square of the distance from the center of the disc Answer: c) inversely proportional to the distance from the center of the disc

6. The energy stored in a capacitor is given by _____________. a) CV²/2 b) C²V/2 c) Q²/2C d) QV/2 Answer: a) CV²/2

7. The electric potential due to an infinite line charge is _____________. a) constant b) directly proportional to the distance from the line charge c) inversely proportional to the distance from the line charge d) directly proportional to the square of the distance from the line charge Answer: c) inversely proportional to the distance from the line charge

8. The electric potential at a point on the axis of a uniformly charged ring is _____________. a) zero b) constant c) directly proportional to the distance from the center of the ring d) inversely proportional to the distance from the center of the ring Answer: d) inversely proportional to the distance from the center of the ring

9. The capacitance of a parallel-plate capacitor is given by _____________. a) εA/d b) εd/A c) Ad/ε d) A/εd Answer: a) εA/d

10. The electric potential energy stored in a capacitor is _____________. a) directly proportional to the capacitance and the voltage b) inversely proportional to the capacitance and the voltage c) directly proportional to the capacitance and inversely proportional to the voltage d) inversely proportional to the capacitance and directly proportional to the voltage Answer: a) directly proportional to the capacitance and the voltage