For any charge configuration, equipotential surface through a point is normal to the electric field. Justify.
Why must electrostatic field at the surface of a charged conductor be normal to the surface at every point ? Give reason.
A point charge +Q is placed at point O as shown in the figure. Is the potential difference – positive, negative or zero ?
A charge ‘q’ is moved from a point A above a dipole of dipole moment ‘p’ to a point B below the dipole in equatorial plane without acceleration. Find the work done in the process.
Figure shows the field lines due to a positive charge. Is the work done by the field in moving a small positive charge from Q to P, positive or negative? Give reason.
In the given figure, charge +Q is placed at the centre of a dotted circle. Work done in taking another charge +q from A to B is W₁ and from B to C is W₂. Which one of the following is correct ?
i) W₁ > W₂
(ii) W₁ = W₂
(iii) W₁ < W₂
What is the amount of work done in moving a point charge around a circular arc of radius r at the center where another point charge is located ?
An electron is accelerated through a potential difference V. Write the expression for its final speed, if it was initially at rest.
Write two properties of equipotential surfaces. Depict equipotential surfaces due to an isolated point charge. Why do the equipotential surfaces get closer as the distance between the equipotential surfaces and the source charge decreases ?
Calculate the amount of work done to dissociate a system of three charges 1 mC, 1 mC and – 4 mC placed on the vertices of an equilateral triangle of side 10 cm.
Draw a plot showing the variation of (i) electric field (E) and (ii) electric potential (V) with distance r due to a point charge Q.
A test charge q is moved without acceleration from A to C along the path from A to B and then from B to C in electric field E as shown in the figure.
Two closely spaced equipotential surfaces A and B with potentials V and V + , (where is the change in V), are kept distance apart as shown in the figure. Deduce the relation between the electric field and the potential gradient between them. Write the two important conclusions concerning the relation between the electric field and electric potentials.
Two point charges q and –2q are kept d distance apart. Find the location of the point relative to charge q at which potential due to this system of charges is zero.
Three concentric metallic shells A, B and C of radii a, b and c (a < b < c) have surface charge densities +σ, –σ and +σ respectively as shown in the figure.