May/June 2026 Paper 62

2026 · 4 questions · 24 parts · 40 marks

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3(a)(i)Easy1 mark
A student investigates potential difference in an electric circuit and determines the resistance of an unknown resistor X. The student assembles the circuit shown in Figure 3.1. The circuit consists of a resistor X connected in series with a resistor of resistance = 10 .
The student:
  • closes the switch
  • connects a voltmeter in parallel with resistor X
  • measures the potential difference (p.d.) across resistor X
  • opens the switch.
On Figure 3.1, draw the voltmeter connected to measure the p.d. across resistor X.
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3(a)(ii)Easy1 mark
The voltmeter reading is shown in Figure 3.2.
Figure 3.2, an analogue voltmeter with a scale from 0 to 3 V and a needle to be read
Record the voltmeter reading in the second column of Table 3.1 for = 10 .
Table 3.1
resistance / p.d. / V /
10
151.6
181.5
221.3
331.0
3(b)Easy2 marks
The student repeats 3(a) by replacing the 10 resistor with resistors of resistance = 15 , 18 , 22 and 33 in turn. The student records the values of in Table 3.1. Calculate the value of for each value of . Record your values of in Table 3.1 to 2 significant figures.
for = 10, 15, 18, 22 and 33
3(c)Medium4 marks
Plot a graph of (-axis) against / (-axis). Start your axes at the origin (0, 0). Draw a best-fit straight line.
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3(d)Easy1 mark
Determine the gradient of your line. Show all your working and indicate on the graph the values you use.
=
3(e)Easy1 mark
Extend your line so that it meets the -axis. Record the intercept that your line makes with the -axis.
=
3(f)Easy1 mark
The resistance of resistor X can be calculated using the equation:
Use your answers to 3(d) and 3(e) to calculate . Record your answer to the nearest ohm.