Physics 9702 · AS & A Level · SI units

SI units — practice question

(a)[1]

State the SI base units for force.

(b)

As shown in Fig. 1.1, two wires of length $l$ are arranged parallel to one another with a separation of $x$. Each wire carries current $I$. The currents produce a force $F$ on each wire, given by $F = \dfrac{K I^2 l}{x}$, where $K$ is a constant.

(b(i))[2]

Find the SI base units of $K$.

(b(ii))[2]

On Fig. 1.2, sketch how $F$ varies with $x$. Keep $I$ and $l$ constant.

(b(iii))[1]

The current $I$ in both wires is changed. On Fig. 1.3, sketch how $F$ varies with $I$. Keep $x$ and $l$ constant.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: The units of force are $kg\,m\,s^{-2}$

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