Question

 In an electric field the work done in bringing a 2 coulomb charge from infinity to a point A is 10 joules and in bringing the same charge to same another point B is 20 ioules. Find the potential difference between two point A and B. What would be the work done if the same charge is brought directly from A to B

Answer 1

Work done = 10 Joule
Charge = 2 Coulomb
Potential of point A = V_A = 10J/2C
Given, work done = 20 Joule=5V
Charge = 2 Coulomb
Potential of point B = V_B =20J/2C=10V
Potential difference between two point A and B is
V = V_B – V_A
= 10V – 5V = 5V
Work done directly from A to B
Work done = Potential difference × charge
= 5V × 2C
= 10 Joule