Important numerical of electrostatics ( Top 12 )
This assignment contain top 12 important numerical of electrostatics , chapter 1 and 2 (unit-1). Students preparing for 12th board examination included all states and ICSE board ( even students preparing for JEE/NEET) must solve these numerical.
1. (i)Two point charges 4Q and Q are separated by 1m in air at what point on the line joining the two charges the electric field intensity is zero. (ii) Two identical metallic sphere A and B having charges +4Q and -10Q are kept at a certain distance apart . A third identical uncharged sphere C is first placed in contact with sphere A and then with sphere B . Spheres A and B are then brought in contact and then separated . Find the charges on the sphere A and B .
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2. (i) Calculate the amount of work done in turning an electric dipole of dipole moment 3×108 C-m from its position of unstable equilibrium to stable equilibrium, in a uniform electric field of intensity 103N/c. (ii)The electric field components due to a charge inside the cube of side 0.1m are shown below Ex=αx , where α =500N/C-m EY=0,EZ=0
Calculate (a) The flux through the cube (b)the charge inside the cube
3.(a) A uniformly charged conducting sphere of 2.5 m in diameter has a surface charge density of 100µC/m2 . Calculate the (a) charge on the surface and (b)Total electric flux through the surface. (b)Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates have surface charges densities of opposite signs and of magnitude 17.0 x 10-22 C/m2. What is electric field strength E: (a) in the outer region of the first plate, (b) in the outer region of the second plate, and (c) between the plates?