A proton is taken from point $P_1$ to point $P_2$, both located in ...

Question

A proton is taken from point $P_1$ to point $P_2$, both located in an electric field. The potentials at $P_1$ and $P_2$ are $-5$ V and $+5$ V respectively. Assuming the kinetic energies of the proton at $P_1$ and $P_2$ are both zero, find the work done on the proton (by the electric field).

Accepted Answer

Step 1: Work done by the electric field on a charge $q$ moving from potential $V_1$ to $V_2$: $W=q(V_1-V_2)$.

Step 2: $W = (1.6\times10^{-19})\times(-5-5) = (1.6\times10^{-19})\times(-10)$.

Step 3: $W = -1.6\times10^{-18}$ J.

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