Physics 9702 · AS & A Level · Resistance and resistivity

Resistance and resistivity — practice question

(a)[1]

Define the ohm as the unit used for electrical resistance.

(b)[3]

Determine the SI base units that correspond to resistivity.

(c(i))[2]

A cell with e.m.f. $2.0\text{ V}$ and negligible internal resistance is linked to a variable resistor $R$ and a metal wire, as shown in Fig. 5.1. The wire measures $900\text{ mm}$ in length and has a cross-sectional area of $1.3 \times 10^{-7}\text{ m}^2$. Its resistance is $3.4\,\Omega$. Calculate the resistivity of the metal wire.

(c(ii))[2]

The resistance of $R$ can be changed from $0$ to $1500\,\Omega$. Calculate the largest potential difference (p.d.) and the smallest p.d. that can occur across the wire.

(c(iii))[2]

Calculate the power transformed in the wire when the p.d. across the wire is $2.0\text{ V}$.

(d(i))[1]

Resistance $R$ in (c) is now replaced by another variable resistor $Q$. State the power transformed in $Q$ when $Q$ has zero resistance.

(d(ii))[1]

Resistance $R$ in (c) is now replaced by another variable resistor $Q$. State the power transformed in $Q$ when $Q$ has infinite resistance.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: Ohm expressed as volt per ampere, $\Omega = \frac{V}{A}$

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