In this experiment, you will determine the resistivity of a metal. (a) ● Set up the circuit shown in Fig. 1.1. ● The voltmeter reading is $E$. Record $E$. $E$ = \_\_\_\_\_\_ $\text{V}$ ● Set up the circuit shown in Fig. 1.2. ● You have been provided with several resistors, each with a different value of resistance. Select resistors and connect them so that $R_1 = 33\ \Omega$ and $R_2 = 56\ \Omega$. ● Record $R_1$ and $R_2$. $R_1$ = \_\_\_\_\_\_ $R_2$ = \_\_\_\_\_\_ ●…

Physics 9702/35 — October/November 2023

Cambridge AS Level · Advanced Practical Skills · worked solutions for every part, with the mark scheme

questions

marks

120

minutes

Topics Manipulation, Measurement and Observation · Presentation of Data and Observations · Analysis, Conclusions and Evaluation

Q1Manipulation, Measurement and ObservationPresentation of Data and ObservationsAnalysis, Conclusions and EvaluationFree sample

In this experiment, you will determine the resistivity of a metal.

(a)

● Set up the circuit shown in Fig. 1.1.

Fig. 1.1

● The voltmeter reading is $E$ .

Record $E$ .

$E$ = ______ $\text{V}$

● Set up the circuit shown in Fig. 1.2.

Fig. 1.2

● You have been provided with several resistors, each with a different value of resistance.

Select resistors and connect them so that $R_1 = 33\ \Omega$ and $R_2 = 56\ \Omega$ .

● Record $R_1$ and $R_2$ .

$R_1$ = ______
$R_2$ = ______

● Calculate $(R_1 + R_2)$ .

$(R_1 + R_2)$ = ______

● Close the switch.

● The ammeter reading is $I$ .

Record $I$ .

$I$ = ______ $\text{mA}$

● Open the switch.

(b)

Change the values of $R_1$ and $R_2$ to provide six different values of $(R_1 + R_2)$ .

For each arrangement, record values of $R_1$ , $R_2$ and $I$ in a table. Include values of $(R_1 + R_2)$ and $\frac{1}{I}$ in your table.

(c)

(i)

Plot a graph of $\frac{1}{I}$ on the $y$ -axis against $(R_1 + R_2)$ on the $x$ -axis.

(ii)

Draw the straight line of best fit.

(iii)

Determine the gradient and $y$ -intercept of this line.

gradient = ______
y-intercept = ______

(d)

It is suggested that the quantities $I$ , $R_1$ and $R_2$ are related by the equation

\frac{1}{I} = F(R_1 + R_2) + G

where $F$ and $G$ are constants.

Using your answers in (c)(iii), determine the values of $F$ and $G$ .
Give appropriate units.

$F$ = ______
$G$ = ______

(e)

(i)

Use the micrometer to measure the diameter $d$ of the wire.

$d$ = ______

(ii)

It is suggested that $G$ is given by the equation

G = \frac{4\rho L}{\pi d^2 E}

where $L$ is $0.560\ \text{m}$ and $\rho$ is the resistivity of the metal of the wire.

Using your answers in (a), (d) and (e)(i), determine a value for $\rho$ .

$\rho$ = ______ $\Omega\text{m}$

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Q2Manipulation, Measurement and Observation · Analysis, Conclusions and Evaluation · Presentation of Data and Observations20M

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