Physics 9702 · AS & A Level · Electric potential

Electric potential — practice question

A hydrogen atom can be taken to comprise a proton and an electron with a separation of $120\,\text{pm}$, as illustrated in Fig. 5.1. Treat both particles as point charges. Point P is located on the straight line between the electron and the proton, at a variable distance $x$ from the proton.
(a)[2]

Define the electric potential at a point in words.

(b(i))[2]

Show that the electric potential $V$ at point P, when $x = 10\,\text{pm}$, is $130\,\text{V}$.

(b(ii))[2]

Calculate, to two significant figures, the value of $V$ when $x = 30\,\text{pm}$.

(b(iii))[1]

On Fig. 5.1, place a cross (\times) at one location, other than infinity, where the electric potential is zero.

(b(iv))[3]

On Fig. 5.2, sketch the way $V$ varies with $x$ from $x = 10\,\text{pm}$ to $x = 110\,\text{pm}$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: work carried out per unit positive charge

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