Five charges, q each are placed at the corners of a regular pentagon of side a. (i) What will be the electric field at O if the charge from one of the corners (say A) is removed ? (ii) What will be the electric field at O if the charge q at A is replaced by - q ?
Two charges q and –3q are placed on x-axis separated by distance d. Where a third charge 2q should be placed such that it will not experience any force ?
A small metallic sphere carrying charge +Q is located at the centre of a spherical cavity in a large uncharged metallic spherical shell. Write the charges on the inner and outer surfaces of the shell. Write the expression for the electric field at the point P1.
An electric dipole is placed in a uniform electric field with its dipole moment parallel to the field. Find (i) the work done in turning the dipole till its dipole moment points in the direction opposite to . (ii) the orientation of the dipole for which the torque acting on it becomes maximum.
An electric dipole of length 4 cm, when placed with its axis making an angle of 60° with a uniform electric field, experiences a torque of Nm. Calculate the potential energy of the dipole, if it has charge ± 8 nC.
Find the expression for electric field intensity in an axial position due to electric dipole.
An electric dipole is held in a uniform electric field. (i) Show that the net force acting on it is zero. (ii) The dipole is aligned parallel to the field. Find the work done in rotating it through the angle of 180°.
Two point charges q1 and q2 are located at points (a, 0, 0) and (0, b, 0) respectively. Find the electric field due to both these charges at the point (0, 0, c).
A particle of mass 10⁻³ kg and charge 5 mC enters into a uniform electric field of 2×10⁵ NC⁻¹, moving with a velocity of 20 ms⁻¹ in a direction opposite to that of the field. Calculate the distance it would travel before coming to rest.
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