Fig. 9.1 is the current-voltage graph for a filament lamp. [Figure 9.1]
- (a)Fig. 9.2 shows an incomplete circuit diagram of the circuit that a student uses to obtain the readings for the graph. [Figure 9.2] Complete the circuit diagram using suitable circuit symbols for the lamp, a voltmeter and a variable resistor.[3]
- (b)The ammeter used by the student has ranges 0-10A, 0−1A, 0-100mA and 0-10mA. Describe how the student uses the different ranges to obtain readings which allow all nine points to be plotted precisely on the graph while using the ammeter safely.[2]
- (c)State how Fig. 9.1 shows that the lamp does not obey Ohm's law.[1]
- (d)(i)Using Fig. 9.1, determine the resistance of the lamp when: the voltmeter reading is 0.40V resistance =[1]
- (d)(ii)the voltmeter reading is 6.0V. resistance =[1]
- (e)(i)Explain why the resistance of the lamp changes as the voltage changes.[2]
- (e)(ii)State how the resistance of a wire depends upon its length and how it depends on its cross-sectional area. length cross-sectional area[2]
- (e)(iii)The student obtains a long sample of the same type of wire as the filament in the lamp. The wire he obtains has the same cross-sectional area as the filament. He cuts a 1.0m length of the wire and measures its resistance at room temperature. He obtains the value 16Ω. Using the appropriate resistance value from (d), estimate the length of the filament wire in the lamp. length =[2]
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Mark scheme
Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.
- [B1] correct symbol for lamp
- [B1] correct symbol for voltmeter placed across lamp
- [B1] correct symbol for variable resistor in series with lamp and battery or used as a potential divider
- [B1] start on 10 A scale (and lower if reading small) or uses 10 A scale for points from 1 to 1.8 A or uses 10 A scale for voltages above 2 V (and for 2 V)
- [B1] for lower readings switch to (0-) 1 A scale
- [B1] graph curved or not a straight line (through origin) or current not (directly) proportional to voltage
- [C1] (R =) V/I in any form algebraic or numerical
- [A1] at 0.40 V, resistance = 0.80 (± 0.03) Ω
- [B1] at 6.0 V, resistance = 3.3-3.4 Ω
- [C1] temperature not constant / increases
- [A1] resistance increases as temperature increases
- [B1] (resistance is directly) proportional to length
- [B1] (resistance is) inversely proportional to area or proportional to 1/area
- [B1] any clear use of proportionality using 0.80 Ω
- [B1] 0.050 m
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