Calculate the amount of work done to dissociate a system of

Question

Question 1: Derive an expression for the potential energy of an electric dipole moment p^→ in an electric field E^→.

Question 2: Calculate the amount of work done to dissociate a system of three charges of 1μC, 1μC and 4μC placed on the vertices of an equilateral triangle of side 10 cm.

Question 3: Derive an expression for the energy stored in a charged parallel plate capacitor.

Question 4: Obtain the expression for the energy stored per unit volume in a charged parallel plate capacitor.

Question 5: Net capacitance of three identical capacitors In series is 1μF. What will be their net capacitance if connected in parallel?

Question 6: Find the ratio of energy stored In the two configurations if they are both connected to the same source.

Question 7: Calculate the equivalent capacitance between P and Q, in network shown below

Question 8: a network of four capacitor each of 15μF, is connected across a battery of 100V as shown in fig. find the net capacitance and the charge on capacitor C₄.

Question 9: A slab of material of dielectric constant K has the same area as that of the plates of a parallel plate capacitor but has the thickness d/2, where d is the separation between the plates. Find out the expression for its capacitance when the slab is inserted between the plates of the capacitor.

Question 10: Deduce the expression of electrostatic potential energy of the system of two point charges q₁, and q₂ from infinity to the points -r₁, and r₂ respectively in the presence of external electric field E^→.

Question 11. Explain the working principle of parallel plate capacitor. If two similar plates, each of area A, having surface charge densities +σ and -σ are separated by a distance'd' in air, write expression for:

(i) The electric field at any point between the plates.

(ii) The potential difference between the plates.