Experiment 2b Class: Name: ( ) Date: 2b To investigate the V–I relationship of a light bulb Objective To investigate the relationship between the voltage across a light bulb and the current flowing through it. Background information 1 The resistance of a conductor is defined as: voltage across conductor Resistance = current through conductor or R= V I 2 Ohm’s law states that the voltage across the ends of a conductor is directly proportional to the current flowing through it, provided that the temperature and other physical conditions are unchanged. 3 Rheostats are resistors with variable resistance. The resistance of a rheostat can be changed by moving its sliding contact. Apparatus ❏ 1 ‘12 V, 24 W’ light bulb ❏ 1 voltmeter ❏ 1 ammeter ❏ 1 power pack (0–12 V a.c./d.c.) ❏ 1 rheostat ❏ several connecting leads 20 New Physics at Work (Second Edition) © Oxford University Press 2007 Class: Name: ( Experiment 2b ) Date: Procedure ✐ A rheostat with resistance up to 10 Ω is assumed to be used. If a rheostat with resistance up to 20 Ω is available, set the output voltage of the power pack to 3 V d.c. Enough sets of data can then be taken by changing the resistance of the rheostat only. This reduces the complexity of the experiment. 1 Set up the apparatus as shown in Figure 2b-1: (a) Connect a ‘12 V, 24 W’ light bulb in series with a rheostat, a power pack and an ammeter. (b) Connect a voltmeter across the bulb. (c) Move the sliding contact of the rheostat to the end to maximize its resistance. (d) Set the output voltage of the power pack to 1.5 V d.c. power pack sliding contact ammeter voltmeter ✐ Battery box can be rheostat used to replace the power pack. By changing the number of batteries, the output voltage is varied. ✐ The bulb no longer obeys Ohm’s law when the voltage across it is about 0.4 V. Ts should make sure that students can take enough sets of data within 0−0.4 V and beyond 0.4 V, otherwise students may not be able to draw the conclusion. light bulb 1.5 V d.c. + rheostat light bulb A + Fig 2b-1 V 2 Take the ammeter and voltmeter readings. Record the results in Table 2b-1. It is suggested to take the sets of data as follows: 3 Take 5 sets of data within 0.1−0.5 V, 5 sets of data within 0.7 V−1.5 V, and 3 sets of data within 2.0 V−3.0 V. To take other sets of data, vary the current flowing through the bulb by adjusting the output voltage of the power supply and by moving the sliding contact of the rheostat. Record the results in Table 2b-1. ✎ Results: Note Voltage across bulb V / V 0.1 Current through bulb I / A 0.13 0.23 0.30 0.35 0.38 0.43 0.47 0.51 0.55 0.57 0.64 0.71 0.77 0.2 0.3 0.4 0.5 0.7 0.9 1.1 1.3 1.5 2.0 2.5 3.0 Table 2b-1 New Physics at Work (Second Edition) © Oxford University Press 2007 21 Experiment 2b Class: Name: 4 ( ) Date: Plot a graph of the voltage V across bulb against the current I through bulb in Figure 2b-2. voltage across bulb V / V 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 current through bulb I / A Fig 2b-2 ✎ Describe the shape of the graph. The graph is linear at the very beginning and then curves upwards. Discussion ✎ Does the filament of the bulb obey Ohm’s law? Explain your answer. The filament of the bulb obeys Ohm’s law only when the voltage across it is very small. When the voltage is large, the filament is non-ohmic. 22 New Physics at Work (Second Edition) © Oxford University Press 2007 Class: Name: ( ✎ Experiment 2b ) Date: How does the resistance of the filament of the bulb change with the voltage across it? The resistance of the filament increases with the voltage across it. ✎ The temperature of the filament of the bulb increases with the voltage across it. How does the resistance of the filament change with its temperature? The resistance of the filament increases with its temperature. does not obey The filament of a light bulb ________________________ Ohm’s law at increases high temperature and its resistance ________________________ with temperature. Further thinking ✎ Sketch the graph of voltage against current obtained if the light bulb in this experiment is replaced by silicon, a semiconductor whose resistance decreases when its temperature increases. V I New Physics at Work (Second Edition) © Oxford University Press 2007 23