Two spheres of radii r and R carry charges q and Q respectively. When they are connected by a wire, there will be no loss of energy of the system if
In the figure shown, conducting shells A and B have charges Q and 2Q distributed uniformly over A and B. Value of VA − VB is
The electric potential at a point (x,y) is given by: V = −Kxy. The electric field intensity a distance r from the origin varies as
A charge is placed at the axis of a charged ring of radius
at a distance of
as shown in figure. If ring is fixed and carrying a charge
, the kinetic energy of charge
when it is released and reaches the centre of ring will be,
A solid hemispherical uniform charged body having charge Q is kept symmetrically along the y -axis as shown in figure. The electric potential at a distance d from the origin along the x -axis at point P will be
Half part of ring is uniformly positively charged and other half is uniformly negatively charged. Ring is in equilibrium in uniform electric field as shown and free to rotate about an axis passing through its centre and perpendicular to plane. The equilibrium is
A conducting disk is of radius R is rotating with an angular velocity ω allowing the fact that electrons are the current carriers in conductor, the potential difference between the centre of the disc and edge is (mass and charge of electron is m and e and neglect gravity)
Three identical particles, each possessing the mass m and charge +q, are placed at the corners of an equilateral triangle with side r0. The particles are simultaneously set free and start flying apart symmetrically due to Coulomb's repulsion forces. The work performed by Coulomb's forces acting on each particle until the particles fly from one another to a very large distance is (where k = 1/4πε0.)
In moving from to
along an electric field line, the work done by the electric field on an electron is
. If
and
are equipotential surfaces, then the potential difference
is
A plastic disc is charged on one side with a uniform surface charge density and then three quadrant of the disk are removed. The remaining quadrant is shown in figure, with
at infinity, the potential due to the remaining quadrant at point
is