When researching LDRs, I found that CdS can take as long as 15ms to reach a high resistance after being exposed to a bright light, and so I was careful to leave sufficient time between readings for the LDR to achieve it’s ‘true’ resistance.
It is possible to measure light intensity with an LDR. Light intensity is measured in Lux, and can be formulated from the two equations:
RL = 500 / Lux KΩ
Vo = Vs * (RL/(RL + R1)
Assuming the two equations to be simultaneous, we can rearrange as follows
Vo = Vs * (500 / Lux KΩ) / ((500 / Lux KΩ) + R1)
=> = (500 / Lux KΩ) / (500 / Lux KΩ) + R1
=>(500 / Lux KΩ + R1) = 500 / Lux KΩ
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Vo500 / Lux KΩ + Vo R1 = Vs500 / Lux KΩ
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VoR1 = Vs500 / Lux KΩ - Vo500 / Lux KΩ
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VoR1 = 500 / Lux KΩ(Vs – Vo)
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Vo R1 = 500 / Lux KΩ
Vs - Vo (Multiply by Lux, divide by current LHS, rearrange fraction)
What Setup?
Once an LDR had been decided upon as the method for sensing light, there were several possible ways to approach the experiment. You could measure the current or resistance of the LDR in a circuit on it’s own, or combine it with another resistor to form a potential divider. I chose to use a potential divider for several reasons. Primarily, the range and sensitivity of the readings can be altered by changing the value of the static resistor in series circuit with the LDR. In addition to this, I believe a voltage output has the most practical applications, and could be most easily integrated into a larger circuit, for example as part of a control system ensuring suitable growing conditions for plants in a greenhouse. To obtain values from my circuit, I will be changing the distance between LDR and light source, and measuring the output voltage given out.
Preliminary Testing
Having decided upon using an LDR in a potential divider circuit, I needed to decide values for several other variables, namely: The voltage across the lamp circuit, the voltage across the sensor circuit, the value of the fixed resistor in the sensor circuit, the distances over which to measure the voltage, the intervals used when changing the distance. I devised an equipment list:
12V Halogen Lamp
Light Dependent Resistor
Variable Resistor
Multimeter
2 Power Packs
Meter Ruler
2 Retort Stands with Cross Tee and Clamp
Wires
It made sense to perform the experiment in an environment with the minimum amount of ambient light, and taking into consideration the space constraints of the dark room available, I used the maximum practical range of distances, from 0 – 1 metre. Given the time constraints on the experiment, I decided that 10cm intervals would give a reasonable number of readings, allow for sufficient repeats and would not be pushing the resolution of the sensor, and so provide clearly distinct values for the output voltage. For simplicity in calculations, a reasonable range, and a safe voltage, I chose to have 10V flowing through the sensor circuit.
To determine the values for the other variables, I carried out a series of preliminary tests. I set up the equipment as detailed in the following two diagrams, as this was how I planned to set up the final experiment. Should I encounter any problems, they could be resolved before the actual readings were taken.
The first test I conducted was with the lamp at the maximum distance of one metre from the LDR. Following are the results. Unless otherwise stated, all results are two 2 d.p.
The results highlighted in bold are anomalous. As the voltage from the power supply was set to 10.0V, I can only assume they are either due to random error (such as power fluctuations) or systematic error (i.e. a incorrectly calibrated multimeter or power supply). As the voltage across the lamp was increased, the range of values also increased. This suggests the best data would be collected with the maximum rated voltage of 12V. After testing at the maximum distance, I took the other extreme, and performed the same tests, but this time with the bulb touching the LDR. I did not bother with the 0V or 4V readings, as they were ruled out by the lack of range in the first test. Following are the results for the second preliminary test.
The second test showed the converse of the first, with regards to range. The largest range was obtained by the smallest voltage value. For the purpose of completeness, I did one further preliminary test, at 0.3m
This preliminary showed the 8V lamp having the greatest range of values. However, it was closer than the half way mark (50cm) and so is more biased towards the lower voltages having higher ranges. Therefore, I did not include the data from the third preliminary when calculating the average ranges for the different voltages.
As can be seen, the 10V reading has the highest average range, albeit by a very small margin. Thus I chose 10V as the voltage to use on the lamp circuit. I chose to use 1000 Ohms as the value for the static resistor in the potential divider, because it seemed to offer a good balance of a wide range of values without approaching the limits of the range too quickly.
Overall, I thought the preliminary testing went well, and so decided to keep the same method, equipment, and setup for my final experiment.
Implementation
Due to the success of my preliminary test, I decided to use the same method in my final experiment. I chose a value of 10V to power the halogen lamp, 10V across the sensor circuit, 1000 Ω for the fixed resistor, and 1 metre in 10 cm intervals for the input variable.
Procedure
Following is a brief procedure for each reading taken:
- Check voltages on both power packs
- Measure distance between glass front of bulb and protruding ‘bubble’ of LDR
- Take reading
- Wait 5 seconds
- Repeat
Risk Assessment
Risk: Electric Shock
Severity: Mild, 1/5
Likelihood: Unlikely, 1/5
Risk Factor: 1/25 – safe
Precautions: take care when dealing with electrical wires.
Risk: Burns from hot lamp
Severity: Mild, 1/5
Likelihood: Quite Possible, 3/5
Risk Factor: 3/25 – safe
Precautions: Avoid touching lamp bulb when adjusting distances. Instead move using the retort clamp.