PQRS is square of side 1 ~m . A charge of 100 C is placed at the centre of the square. Then the work done to take 3 C charge from the corner P to the corner R .

Step-by-step solution

The electric potential V at any point at a distance r from a point charge q is given by V = kq r . Let the charge at the centre of the square be Q = 100 C = 100 10⁻⁶ C . The distance from the centre of a square of side a = 1 m to any of its corners is r = a 2 = 1 2 m . Since the distance from the centre to corner P is r_P = 1 2 m and the distance from the centre to corner R is r_R = 1 2 m , the potential at P and R are equal: V_P = kQ r_P = 2 kQ V_R = kQ r_R = 2 kQ The work done W in moving a charge q₀ = 3 C from P