Physics 9702 · AS & A Level · Electric potential

Electric potential — practice question

A hydrogen atom can be treated as containing a proton and an electron with a separation of $120\,\text{pm}$, as illustrated in Fig. 5.1. The two particles may be modelled as point charges. Point P is on the straight line joining the electron and the proton, and its distance from the proton is variable, equal to $x$.
(a)[2]

Define the electric potential at a point.

(b(i))[2]

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

(b(ii))[2]

Calculate $V$ when $x = 30\,\text{pm}$, giving your answer to two significant figures.

(b(iii))[1]

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

(b(iv))[3]

On Fig. 5.2, sketch how $V$ varies with $x$ between $x = 10\,\text{pm}$ and $x = 110\,\text{pm}$.

Worked solution & mark scheme

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