Chapter Electrostatic Potential and Capacitance


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1 Chapter Electrostatic Potential and Capacitance C/ 2 C/2 Ans: Q6. MockTime.com Q1. A 4µF conductor is charged to 400 volts and then its plates are joined through a resistance of 1 kω. The heat produced in the resistance is [1989] 0.16 J 1.28 J 0.64 J 0.32 J Ans: Q2. A hollow metal sphere of radius 10 cm is charged such that the potential on its surface is 80 V. The potential at the centre of the sphere is [1994] zero 80 V 800 V 8 V Ans: Q3. [1999] 24 μf 18 μf 12 μf 6 μf Ans: Q7. A capacitor is charged to store an energy U. The charging battery is disconnected. An identical capacitor is now connected to the first capacitor in parallel. The energy in each of the capacitor is [2000] U/ 2 3U/ 2 U U/ 4 Ans: Q8. In a parallel plate capacitor, the distance between the plates is d and potential difference across the plates is V. Energy stored per unit volume between the plates of capacitor is [2001] [1994] ± C ± C ± C ± C Ans: Q4. If the potential of a capacitor having capacity 6 μf is increased from 10 V to 20 V, then increase in its energy will be [1995] J J J J Ans: Q5. A parallel plate condenser with oil between the plates (dielectric constant of oil K= 2) has a capacitance C. If the oil is removed, then capacitance of the capacitor becomes [1997, 99] 2C 2C Ans: Q9. The capacity of a parallel plate condenser is 10 μf when the distance between its plates is 8 cm. If the distance between the plates is reduced to 4 cm then the capacity of this parallel plate condenser will be [2001] 5 μf 10 μf 20 μf 40 μf Ans: Q10. Energy stored in a capacitor is [2001]
2 MockTime.com Ans: Q11. A capacitor C1 is charged to a potential difference V. The charging battery is then removed and the capacitor is connected to an uncharged capacitor C2. The potential difference across the combination is [2002] Q15. An electric dipole has the magnitude of its charge as q and its dipole moment is p. It is placed in uniform electric field E. If its dipole moment is along the direction of the field, the force on it and its potential energy are respectively [2004] q.e and max. 2 q.e and min. q.e and p.e zero and min. Ans: Q16. A bullet of mass 2 g is having a charge of 2μC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s? [2004] 50 V 5 kv 50 KV 5 V Ans: Q17. Ans: Q12. A solid spherical conductor is given a charge. The electrostatic potential of the conductor is [2002] constant throughout the conductor largest at the centre largest on the surface largest somewhere between the centre and the surface Ans: Q13. Each corner of a cube of side l has a negative charge, q. The electrostatic potential energy of a charge q at the centre of the cube is [2002] [coordinates (0, a)] Ans: Ans: Q18. Q14. Three capacitors each of capacity 4μF are to be connected in such a way that the effective capacitance is 6 μf. This can be done by [2003] connecting two in parallel and one in series connecting all of them in series connecting them in parallel connecting two in series and one in parallel Ans:
3 increases decreases Ans: MockTime.com Q21. [2005] 8q1 6q1 8q2 6q2 Ans: Q19. [2007] Ans: Q22. [2005] 4/7 3/22 7/4 22/3 Ans: [2007] Q20. A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting the charging battery the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates [2006] does not change becomes zero Ans: Q23. The electric potential at a point in free space due to a charge Q coulomb is Q volts. The electric field at that point is [2008] 4 πε0 Q volt/m 12 πε0 Q volt/m
4 4 πε0 Q volt/m 12 πε0 Q volt/m Ans: Q24. The energy required to charge a parallel plate condenser of plate separation d and plate area of crosssection Asuch that the uniform electric field betwen the plates is E, is [2008] Ans: Q25. Three concentric spherical shells have radii a, b and c (a < b < c) and have surface charge densities ς, ς and ς respectively. If VA, VB and VC denotes the potentials of the three shells, then for c = a + b, we have [2009] VC = VB VA VC VB VA VC= VB= VA VC= VA VB Ans: Q26. Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be [2009] 3C, V/3 C/3, 3V 3C, 3V C/3, V/3 Ans: Q27. [2009] Ans: Q28. A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4 V. When another parallel combination of n2 capacitors, each of value C2, is charged by a source of potential difference V, it has the same (total) energy stored in it, MockTime.com as the first combination has. The value of C2, in terms of C1, is then [2010] Ans: Q29. A condenser of capacity C is charged to a potential difference of V1. The plates of the condenser are then connected to an ideal inductor of inductance L. The current through the inductor when the potential difference across the condenser reduces to V2 is Ans: Q30. Two parallel metal plates having charges + Q and Q face each other ata certain distance between them. If the plaves are now dipped in kerosene oil tank, the electric field between the plates will remain same become zero increases decrease Ans: Q31. A parallel plate condenser has a uniform electric field E(V/m) in the space between the plates. If the distance between the plates is d(m) and area of each plate is A(m 2 ) the energy (joules) stored in the condenser is [2011]
5 Ans: Q32. Ans: Q36. MockTime.com [2011] Ans: Q33. The potential energy of particle in a force field is U = A/r 2 B/r, where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is: [2012] B/ 2A 2A/ B A/ B B/ A Ans: Q34. Four point charges Q, q, 2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero is: [2012] [NEET 2 013] maximum at B maximum at C same at all the three points A, Band C maximum at A Ans: Q1. Q2. Q3. Q4. Ans: Q35. 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 area of each plate is A, the energy stored in the capacitor is: [2012M] Q5.
6 MockTime.com Q6. Q8. Q9. Q10. Q11. Q7. Q12. Q13.
7 MockTime.com Q14. Q19. Q15. Q16. Q17. Q18. Q20.
8 MockTime.com Q21. Q22. Q23. Q26. Q24. Q27. Q28. Q25.
9 MockTime.com Q29. Q33. Q30. Q34. Q31. Q32.
10 Q35. MockTime.com Q36.
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