Physics 9702 · AS & A Level · Resistance and resistivity

Resistance and resistivity — practice question

A nichrome wire X, with a length of $45\,\text{cm}$ and a cross-sectional area of $4.7 \times 10^{-7}\,\text{m}^2$, is inserted into the circuit shown in Fig. 6.1. Wire X has a resistance of $1.1\,\Omega$. The cell provides an electromotive force (e.m.f.) of $1.3\,\text{V}$ and has negligible internal resistance.
(a(i))[1]

Calculate the current flowing in X.

(a(ii))[2]

In nichrome, the number density of charge carriers (electrons) is $8.5 \times 10^{28}\,\text{m}^{-3}$. Calculate the average drift speed of the charge carriers in X.

(a(iii))[3]

Calculate the resistivity of the nichrome wire.

(b(i))[2]

Wire Y is the same as wire X. Wire Y is connected in parallel with wire X, as shown in Fig. 6.2. State and explain any effect of this change on the ammeter reading.

(b(ii))[1]

State and explain any effect of this change on the average drift speed of the charge carriers in X.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct answer for current $I = 1.2\,\text{A}$

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