Electric Field and Potential Questions and Answers

Three charges Q 2q q are placed at the vertices o an equilateral triangle of side a as shown in the figur If the net electrostatic energy of the system is zero then Q is equal to Q q 0 9 0 9 10 O 0 29 O 0 9 6 29

marks 11 Figure shown below three different patterns of electric field lineIn cach pattern a proton is released From re at point P and then accelerated towards the point Q by the electric field Rank the pattern according to the linea momentum of the proton when it reaches Q greatest first

A ball with charge 20e is placed at the centre of a hollow spherical shell which has net charge of 40e The charge of the shell s outer surface 20e 40e 60e hr min 80e

Two charges 9 and 92 are located at 9 0 and 9 0 in the x y plane in a medium of dielectric constant 4 The dielectric medium has carved out from it an ellipse r x2 y governed by the equation 1 The 4 9 equivalent force between the charges in air is 1 kq 92 ARE O n What is the value of n if distances are in meter given by x 10 2N where

For a dipole having magnitude of charge q 4 x 10 6 C and distance between the charges d 0 02 m If this dipole is placed in a electric field E 2 105 N C Then maximum torque on the dipole will be 1 6 10 2 Nm 3 2 x 10 Nm 2 4 x 10 Nm 4 8 x 10 2 Nm

Two identical beads each of mass m and charge q can slide on two long parallel insulating frictionless rigid rods that are a distance d apart Initially the beads are so far from each other that no electrostatic interaction exists between them With what speed must one of the beads be projected so that it passes over the other bead Assume radii of the beads negligibly small as compared to the distance between the rods Neglect effects of gravity Dm Flighalt cotof vo

A B E HOM D In the given figure if Q and Q are positive where could a negative charge be placed so as to have vertically upward net force on it 2 B 4 D C 5 E In the given figure if the vertical distance from point E to B is the same as the horizontal distance from E to either charge and the electric field at B due to either charge has magnitude 1 0 106 what is the magnitude of the net electric field 1 Zero 3 1 0 108 5 2 0 108 2 7 1 x 105 4 1 414 106

Point charges 9 4 C and 9 2 C are kept at point 0 and x 4 respectively electrical potential will be zero at points where x is in cm 8 x 3 cm and x 8 cm x cm and x 6 cm x 2 cm and x 6 cm hr min x 1 cm and x 5 cm

In an electric field shown in figure three equipotential surfaces are shown If function of electric field is E 2x V m and given that V V V V3 then we have y Z 1 X X 2 X X 3 X X 4 data insufficient X TX 1 2 3 X

Three point charges of strengths q 4 0 x 10 C 92 1 0 x 10 C and Q 10 6 C are fixed in a right triangle as shown above The distance between q and Q is d 4 0 cm and the distance between q and Q is de 3 0 cm What is the approximate electric field strength at location of charge O due to the

67 If electric potential of the inner sphere is 10 volt and that of the outer shell is 50 volt ther potential at common centre is 1 10 V 2 18 V 3 15 V 4 Zero a b

A particle of mass m and charge q is placed at rest in a uniform electric field E and then released The KE attained by the particle after moving a distance y is 1 qEy 2 qEy 3 qEy 4 q Ey

A solid insulating sphere of radius a 2 cm has a uniform charge density p A conducting spherical shell of inner radius b 4 cm and outer radius c 5 cm is concentric with the solid sphere and has a charge 1 C If the electric field at r 0 9 cm from the center of this charge configuration is 97x 10 N C find the charge density on the outer surface of the conducting shell Your result must be in multiples of 104 C m That means if you get a result of just typ 9 22 in the answer box Maximum of 5 of error is accepted in your answer Take k 9x10 Nm C Insulator 4 Conductor

The width of deplection region in P N junction diode is 500 nm and an internal electric field is 6 105 V m What is the kinetic energy which a conduction electron must have in order to diffuse from the N side to P side Question Type Single Correct Type 1 0 03 eV 2 0 3 eV 3 0 45 eV

5 Three concentric spherical shells A B and C of radii a b and c a b c have surface charge densities o o and o respectively If V V and Vdenote the potentials of the three shells then for c a b we have A 1 Vc VB VA 3 Vc V VA B AIPMT Mains 2009 2 Vc V VB A 4 Vc VB VA C

Three balls with charges of q 2q and 3q are placed at the corners of a square measuring L on each side as shown in Figure 16 6 Assume this set of three balls is not interacting with anything else in the universe and assume that gravitational interactions are negligible What is the magnitude and direction of the net electrostatic force on the ball of charge q q L