Physics 9702 · AS & A Level · Electric force between point charges

Electric force between point charges — practice question

Two point charges A and B each carry a charge of $+6.4 \times 10^{-19}\,\text{C}$. They are in a vacuum and are separated by a distance of $12.0\,\mu\text{m}$, as illustrated in Fig. 4.1. Points P and Q lie on the line AB. Point P is $3.0\,\mu\text{m}$ from charge A, while point Q is $3.0\,\mu\text{m}$ from charge B.
(a)[3]

Calculate the repulsive force between charges A and B.

(b)[2]

Explain why, even without doing any calculation, moving a small test charge from point P to point Q results in zero net work done.

(c)[4]

Calculate the work done by an electron as it moves from the midpoint of line AB to point P.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Coulomb’s law is $F = \dfrac{q_1 q_2}{4\pi\varepsilon_0 x^2}$.

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