Q1 Show that electric potential at a point P, at a distance r from a fixed point charge Q is given by V =
1 / 4πε0
Q / r
Solution Show that electric potential at a point P What is electric- potential Show that electric potential at a point P, at a distance r from a fixed point charge Q
Q2 Define potential difference between two points in an electric field. Derive the relation between electric field and potential difference. Solution Define potential difference between two points in an electric field. Derive the relation between electric field and potential difference. Derive the relation between electric field and potential difference. Define potential difference
Q3 What is an equipotential surface? Draw the same for a point charge. Show that electric field is always directed perpendicular to an equipotential surface. Solution What is an equipotential surface? Draw the same for a point charge. Show that electric field is always directed perpendicular to an equipotential surface. Show that electric field is always directed perpendicular to an equipotential surface.
Q4 What do you mean by the potential energy of a system of charges? Derive energy expression for two point charges separated by a distance. Generalise the result for a system of n point charges. Solution What do you mean by the potential energy of a system of charges? Derive energy expression for two point charges separated by a distance. Generalise the result for a system of n point charges. Generalise the result for a system of n point charges. system of n point charges. point charge.
Q5 Derive an expression for the total work done in rotating an electric dipole through an angle θ in a uniform electric field. Solution Derive an expression for the total work done in rotating an electric dipole through an angle θ in a uniform electric field. Derive an expression for the total work done in rotating an electric dipole
Q6 Define potential energy of a point charge in a uniform electric field ⃗E . Obtain the expression U = -⃗p . ⃗E for the potential energy of a dipole of moment ⃗p in a uniform electric field ⃗E. Solution Define potential energy of a point charge in a uniform electric field ⃗E . Obtain the expression U = -⃗p . ⃗E for the potential energy of a dipole of moment ⃗p in a uniform electric field ⃗E.
Define potential energy of a point charge
Obtain the expression U = -⃗p . ⃗E for the potential energy of a dipole of moment ⃗p in a uniform electric field ⃗E
Q7 Derive an expression for the electric potential at a point in the end-on position of an electric dipole. Solution Derive an expression for the electric potential at a point in the end-on position of an electric dipole. electric potential at a point in the end-on position end-on position of an electric dipole.
Q8 Define electric potential. Prove that at a point in the broad-side-on position of an electric dipole the electric potential is zero. Solution Define electric potential. Prove that at a point in the broad-side-on position of an electric dipole the electric potential is zero. broad-side-on position