Electric Force, Field, and Potential

A proton moves from a point with a potential of +20 V to a point with a potential of +10 V. What is the change in the proton’s electric potential energy?

An alpha particle (charge +2e) moves through a potential difference of -50 V. What is the change in its electric potential energy?

A charge of -2 C moves from a point where the electric potential is 100 V to a point where it is 120 V. What is the change in the electric potential energy of the charge?

What potential difference is required to increase the electric potential energy of a +3 C charge by 60 J?

A -5 C charge requires a decrease of 100 J in electric potential energy. What potential difference must it move through?

A +2 C charge moves such that its electric potential energy decreases by 50 J. What is the potential difference between its initial and final points?

A charged particle with charge $q$ moves radially away from another charged particle with charge $Q$. The electric field is non-uniform and given by $E = \frac{kQ}{r^2}$. What is the change in electric potential energy when the charge $q$ moves from a distance $r_1$ to $r_2$?

A small charge $q$ is moved from a distance $2r$ to a distance $3r$ from a fixed charge $Q$. If the electric field is given by $E = \frac{kQ}{r^2}$, what is the change in electric potential energy?

A charge $q$ is moved in the electric field of a charge $Q$ from a distance $r$ to infinity. What is the change in electric potential energy?

An electron accelerates from rest through a potential difference of 100 V. What is its final kinetic energy?