A student investigates a resistor and a filament lamp connected in series.
The student adjusts the position of a crocodile clip on a resistance wire until the potential difference VLV_{\text{L}}VL. across the lamp is 3.0 V3.0\text{ V}3.0 V.
Record the values of III and VRV_{\text{R}}VR_ for VL=3.0 VV_{\text{L}} = 3.0\text{ V}VL=3.0 V.
The table below shows the results of this experiment.
| VL / VV_{\text{L}}\text{ / V}VL / V | I / AI\text{ / A}I / A | VR / VV_{\text{R}}\text{ / V}VR / V | RL / ΩR_{\text{L}}\text{ / }\OmegaRL / Ω | RR / ΩR_{\text{R}}\text{ / }\OmegaRR / Ω |
|---|---|---|---|---|
| 3.03.03.0 | ||||
| 2.02.02.0 | 0.200.200.20 | 3.53.53.5 | ||
| 1.01.01.0 | 0.120.120.12 | 2.12.12.1 |
Calculate, and record in the table, the resistance of the lamp RLR_{\text{L}}RL. and the resistor RRR_{\text{R}}RR. for each value of VLV_{\text{L}}VL. Use the equations:
RL=VLIandRR=VRI R_{\text{L}} = \frac{V_{\text{L}}}{I} \quad \text{and} \quad R_{\text{R}} = \frac{V_{\text{R}}}{I} RL=IVLandRR=IVRGive all your values of RLR_{\text{L}}RL. and RRR_{\text{R}}RR. to a consistent number of significant figures (2 or 3 significant figures).
Describe the pattern of any change in the value of RLR_{\text{L}}RL. as VLV_{\text{L}}VL. decreases.
State whether your results support the suggestion that the resistance RRR_{\text{R}}RR. of the resistor is constant. Justify your statement by reference to the calculated values.
The student wishes to determine the resistance of the lamp RLR_{\text{L}}RL. when the potential difference across the lamp VL=0.0 VV_{\text{L}} = 0.0\text{ V}VL=0.0 V. Describe how the experiment can be extended to do this with the help of a suitable graph.
Describe how a variable resistor can be connected into the circuit instead of a resistance wire to change the potential difference across the lamp, and state where a voltmeter must be connected to measure the potential difference across the resistor.
452 exam-style questions on CIE IGCSE Physics 4.2 Electrical quantities, covering 4.2.1a Positive and negative charge, 4.2.1b Charging by friction and detecting charge, 4.2.1c Electrical conductors and insulators, 4.2.1d Electric fields and electric field patterns, 4.2.2a Electric current, charge and measuring current, 4.2.2b Conduction in metals and the direction of current, 4.2.2c Direct current and alternating current, 4.2.3a Electromotive force, 4.2.3b Potential difference and voltmeters, 4.2.4a Resistance, 4.2.4b Resistance of a metallic wire, 4.2.4c Current–voltage graphs, and 4.2.5 Electrical energy and electrical power. Each one has a worked solution and a mark scheme showing where the marks go.