Question

A +1.0 μC point charge is moved from point A to B in the uniform electric field as shown. Which one of the following statements is necessarily true concerning the potential energy of the point charge? a) The potential energy increases by 10.8 × 10-6 J. b) The potential energy decreases by 10.8 × 10-6 J. c) The potential energy decreases by 6.0 × 10-6 J. d) The potential energy increases by 6.0 × 10-6J. e) The potential energy decreases by 9.0 × 10-6 J.

Answer 1

E = V/d = 120 V/0.06 m = 2000 V/m

Now we can calculate the potential energy of the point charge as it moves from point A to point B:

U = qEΔd = (1.0 × 10^-6 C)(2000 V/m)(0.06 m) = 1.2 × 10^-7 J

Therefore, the potential energy decreases by 1.2 × 10^-7 J as the point charge moves from point A to point B. So, option c) The potential energy decreases by 6.0 × 10^-6 J is necessarily true concerning the potential energy of the point charge

Step-by-step explanation:

The potential energy of a charged particle in an electric field is the work done by the electric force in moving the charge from a point where the electric field is zero to a point where the electric field is E. The potential energy is given by the equation: U = qE where q is the charge of the particle and E is the electric field