Nội dung text ELECTROSTATIC POTENTIAL & CAPACITANCE-2.pdf
CHAPTER ELECTROSTATIC POTENTIAL & 2 CAPACITANCE Exercise 1: NCERT Based Topic-wise MCQs 2.1 INTRODUCTION 1. Which of the following quantities do not depend on the choice of zero potential or zero potential energy? (a) Potential at a point NCERT Page-51, 52 / N-46 (b) Potential difference between two points (c) Potential energy of a two-charge system (d) None of these 2. An electron is taken from point A to point B along the path AB in a uniform electric field of intensity E = 10Vm−1 . Side AB = 5m, and side BC = 3m. Then, the amount of work done on the electron is NCERT Page-52 / N-46. (a) 50eV (b) 40eV (c) −50eV (d) −40eV 3. In the electric. field of a point charge q, a certain charge is carried from point A to B, C,D and E. Then the work done is NCERT Page-52 / N-46 (a) least along the path AB (b) least along the path AD
(c) zero along all the paths AB, AC, AD and AE (d) least along AE 2.2 ELECTROSTATIC POTENTIAL 4. The electric potential inside a conducting sphere NCERT Page-53 / N-47 (a) increases from centre to surface (b) decreases from centre to surface (c) remains constant from centre to surface (d) is zero at every point inside 5. It becomes possible to define potential at a point in an electric field because electric field (a) is a conservative field NCERT Page-53 / N-47 (b) is a non-conservative field (c) is a vector field (d) : obeys principle of superposition 6. Which of the following about potential at a point due to a given point charge is true ? NCERT Page-53 / N-47 The potential at a point P due to a given point charge (a) is a function of distance from the point charge. (b) varies inversely as the square of distance from the point charge. (c) is a vector quantity (d) is directly proportional to the square of distance from the point charge. 7. A, B and C are three points in a uniform electric field. The electric potential is NCERT Page-53 / N-47 (a) maximum at B (b) maximum at C (c) same at all the three points A, B and C (d) maximumat A 8. The figure shows the electric dipole placed along x-axis. As we move from point A to point B potential changes from NCERT Page -53 / N-47 (a) positive to negative (b) negative to positive (c) positive to zero (d) does not change 9. A and B are two points in an electric field. If the work done in carrying 4.0C of electric charge from A to B is 16.0J, the potential difference between A and B is NCERT Page-53 / N-47 (a) zero (b) 2.0V
(c) 4.0V (d) 16.0V 10. Two points P and Q are maintained at the potentials of 10 V and −4V, respectively. The work done in moving 100 electrons from P to Q is: NCERT Page-54 / N-47 (a) 9.60 × 10−17J (b) −2.24 × 10−16J (c) 2.24 × 10−16J (d) −9.60 × 10−17J 11. A ball of mass 1g carrying a charge 10−8C moves from a point A at potential 600V to a point B at zero potential. The change in its K.E. is NCERT Page-54 / N − 47 (a) −6 × 10−6 erg (b) −6 × 10−6 J (c) 6 × 10−6 J (d) 6 × 10−6 erg 12. A point charge is kept at the centre of metallic insulated spherical shell. Then NCERT Page-54 / N − 47 (a) electric field out side the sphere is zero (b) electric field inside the sphere is zero (c) net induced charge on the sphere is zero (d) electric potential inside the sphere is zero 2.3 POTENTIAL DUE TO A POINT CHARGE 13. Charges are placed on the vertices of a square as shown. NCERT Page-54 / N-48 Let E⃗ be the electric field and V the potential at the centre. If the charges on A and B are interchanged with those on D and C respectively, then (a) E⃗ changes, V remains unchanged (b) E⃗ remains unchanged, V changes (c) both E⃗ and V change (d) E⃗ and V remain unchanged 14. Three Charges 2q, −q and −q lie at vertices of a triangle. The value of E and V at centroid of triangle will be- (a) E ≠ 0 and V ≠ 0 NCERT Page-54 / N-48 | CBSE Sample 2021-2022 (b) E = 0 and V = 0 (c) E ≠ 0 and V = 0 (d) E = 0 and V ≠ 0 15. 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 NCERT Page-54 / N-48
(a) Q = −q (b) Q = − 1 q (c) Q = q (d) Q = 1 q 2.4 Potential due to an Electric Dipole 16. The value of electric potential at any point due to any electric dipole is NCERT Page-55, 56 / N-50, 51 (a) k ⋅ p ×r r 2 (b) k ⋅ p ×r r 3 (c) k ⋅ p ⋅r r 2 (d) k ⋅ p ⋅r r 3 17. Four points a, b, c and d are set at equal distance from the centre of a dipole as shown in figure. The electrostatic potential Va,Vb,Vc , and Vd would satisfy the following relation: NCERT Page-55, 56 / N-50, 51 (a) Va > Vb > Vc > Vd (b) Va > Vb = Vd > Vc (c) Va > Vc = Vb = Vd (d) Vb = Vd > Va > Vc 2.5 POTENTIAL DUE TO A SYSTEM OF CHARGES 18. Four charges q1 = 2 × 10−8C, q2 = −2 × 10−8C, q3 = −3 × 10−8C, and q4 = 6 × 10−8C are placed at four corners of a square of side √2m. What is the potential at the centre of the square? NCERT Page-57 / N- 52 (a) 270V (b) 300V (c) Zero (d) 100V 2.6 EQUIPOTENTIAL SURFACES 19. A unit charge moves on an equipotential surface from a point A to point B, then NCERT Page- 60 / N-54 (a) VA − VB = +ve (b) VA − VB = 0 (c) VA − VB = −ve (d) it is stationary