Physics 9702/31 — May/June 2020

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 investigate an electrical circuit.

(a)

● Place the $18\ \Omega$ resistor in component holder R.
● Set up the circuit shown in Fig. 1.1.

Fig. 1.1

● The resistor in R has resistance $R$ . Record $R$ .

$R$ = ______ $\Omega$

● Close the switch.
● Record the voltmeter reading $V$ .

$V$ = ______

● Open the switch.

(b)

Change the resistor in R and repeat (a) until you have six sets of readings of $R$ and $V$ . Include your values from (a).

Record your results in a table. Include values of $\frac{1}{R}$ and $\frac{1}{V}$ in your table.

(c)

(i)

Plot a graph of $\frac{1}{V}$ on the $y$ -axis against $\frac{1}{R}$ 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 $V$ and $R$ are related by the equation

\frac{1}{V} = \frac{A}{R} + B

where $A$ and $B$ are constants.

Using your answers in (c)(iii), determine values for $A$ and $B$ . Give appropriate units.

$A$ = ______
$B$ = ______

(e)

(i)

Theory suggests that

B = \frac{2}{E}

where $E$ is the electromotive force (e.m.f.) of the cell.

Determine $E$ .

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

(ii)

The two other resistors in the circuit each have resistance $X$ .

When $R = X$ , theory suggests that

\frac{1}{V} = \frac{3}{E}

Determine $X$ .

$X$ = ______ $\Omega$

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