As a charged particle travels from a point at a potential of 100 V to a point at 200 V , its kinetic energy decreases by 10 J . Determine the charge on the particle.

Step-by-step solution

Using the principle of conservation of energy: K + U = 0 Given that the kinetic energy decreases by 10 J , we have K = -10 J . Therefore, the change in potential energy is: U = - K = 10 J The change in potential energy is also given by the relation: U = q(V_f - V_i) Substituting the given values V_i = 100 V and V_f = 200 V : 10 = q(200 - 100) 10 = 100q q = 0.1 C