28 A ball having a charge 100e is placed at the centre of a

Example 14 A point charge q is placed on the top of a cone of semi vertex angle 0 Show that the electric flux through the base of the cone is q 1 cos 0 280 HOW TO PROCEED This problem can be solved by the method of symmetry Consider a Gaussian surface a sphere with its centre at the top and radius the slant length of the cone The flux through the whole sphere is qleo Therefore the flux through the base of the cone can be calculated by using the following formula S So Here So area of whole sphere Pe H q E0

Consider a uniform electric field 3 x 10 i NC 1 Calculate the flux of this field through a square surface of area 10 cm when 2 i its plane is parallel to the y z plane and ii the normal to its plane makes a 60 angle with the raxis

A point charge q is placed on the line AH and just outside the cube of side d at a distance of r r d Total flux of electric field through the surface ABCD ABCD is A q B q 168 C q 880 G H por B D 2010 D 9 q 168 goed

28 Three large plates A B and C are placed parallel to each other and charges are given as shown The charge that appears on the left surface of plate B is 42 30 3C 4C 5C 5L

6 A square surface of side L metre is in the plane of the paper A uniform electric field E volt m also in the plane of the paper is limited only to the lower half of the square surface see associated with the surface is AIPMT Prelims 2006 DIVISION Educational Seguro The electric flux in Si units 1 EL 280 A 2 Me 2 3 Zero 4 EL2

If B B B and B are the magnetic fields due to currents 1 12 13 and 14 respectively then in Ampere s circuital law B di l Bis 1 2 40 14 13 1 B B B 2 B B B 3 B B B B B 4 B B B

9 Consider two concentric conducting spheres The outer sphere is hollow and initially has a charge 70 on it The inner sphere is solid and has a charge 20 on it a How much charge is on the outer surface and inner surface of the outer sphere b If a wire is connected between the inner and outer sphere after electrostatic equilibrium is established how much total charge is on the outer sphere How much charge is on the outer surface and inner surface of the outer sphere Does the electric field at the surface of the inside sphere change when the wire is connected

a A system consists of a uniformly charged sphere of radius R and a surrounding medium filled by a charge with the volume density P where a is a positive constant and r is the distance from the centre of the sphere Find the charge of the sphere for which the electric field intensity E outside the sphere is independent of R a 280 2 E 2 R My Answer Correct Answer

A plane electromagnetic wave travelling along X direction has electric field of amplitude 300 V m directed along the Y axis a What is the intensity of the wave b If the wave falls on a perfectly absorbing sheet of area 3 0 m at what rate is the momentum delivered to the sheet and what is the radiation pressure exerted on the sheet 8 854 x 10 2 C N m c 3 108 ms Take E Ans 119 529 W m2 1 195 x 106 N 3 98 x 10 7 P 1

2 A long line charge having linear charge density 2 5x is kept inside a cube of side L as shown in the figure If cube starts moving towards right then flux through the cube will Y P 1 X 0 0 Cube