Q 61

Q 61 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. dagrpm ne.ll delhi 2011 Gauss's law obtain the expression for the electric field due to a uniformly = charged thin spherical shell of radius R at a point outside the shell. Draw a graph showin the variation Ofelectric field with r, for r > R and r R. A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. What is the tential at the centre of the s here? A thin straight infinitely long conducting wire having charge density 1 is enclosed by a cylindrical surface of radius r and length 1, its axis coinciding with the length of the wire. Find the ression for the electric flux throu h the surface of the Plot a graph showing the variation of coulomb force (F) versus (1 /rA2), where the distance between the two charges of each pair of charges: (1 mC, 2 mC) and (2 mC, — 3 mc . Inte ret the a hs obtained. Net capacitance of three identical capacitors in series is 1 mF. What will be their capacitance if connected in parallel? Find the ratio of stored in the two configurations if they are both connected to the same source. Two insulated charged copper spheres A and B if identical size have charges q.A and qB respectively. A third sphere C of the same size but uncharged is brought in contact with the first and then in contact with the second and finally removed from both. What are the new char es on A and B? Calculate the amount of work done in rotating a dipole, Of dipole moment ION-8 ( : cm, from its position of stable equilibrium to the position of unstable equilibrium, in a uniform electric field of intensi IOA4 N C. Two identical parallel plate (air) capacitors Cl and C2 have capacitances C each. The between their plates is now filled with dielectrics as shown. If the two capacitors still have equal capacitance, obtain the relation between dielectric constants K, KI and K2. of que no. 18 all india 2011 WAY should electrostatic field be zero inside a conductor? Draw a plot showing the variation of (i) electric field (E) and (ii) electric potential with distance r due to a point charge Q. a) Define electric flux. Write its S.I. units. (b) Using Gauss's law, prove that the electric field at a oint due to a uniformly charged infinite plane sheet is 72. 73.