Consider the following system, Find voltage gain 𝐴𝑣 of the voltage amplifier.⚫ A Light Sensor◼ 2 𝑚𝑉 when the light intensity is 1 lux◼ +2𝑚𝑉 for an increase of 1 lux◼ The Sensor Resistance is 500 Ω⚫ Voltage Amplifier◼ Input resistance = 3𝑘 Ω◼ Output resistance = 500 Ω⚫ Display◼ The Display Resistance is 5𝑘 Ω◼ The Display will receive voltage from 0 𝑉 to 10 𝑉◼ The Display will show the light intensity from 1 lux to 1000 lux
Question
Consider the following system, Find voltage gain 𝐴𝑣 of the voltage amplifier.⚫ A Light Sensor◼ 2 𝑚𝑉 when the light intensity is 1 lux◼ +2𝑚𝑉 for an increase of 1 lux◼ The Sensor Resistance is 500 Ω⚫ Voltage Amplifier◼ Input resistance = 3𝑘 Ω◼ Output resistance = 500 Ω⚫ Display◼ The Display Resistance is 5𝑘 Ω◼ The Display will receive voltage from 0 𝑉 to 10 𝑉◼ The Display will show the light intensity from 1 lux to 1000 lux
Solution
The voltage gain Av of the voltage amplifier can be calculated using the formula:
Av = Vo/Vi
Where: Vo is the output voltage Vi is the input voltage
From the given information, we know that the light sensor produces an output of 2mV for every 1 lux of light intensity. This means that the maximum output voltage of the sensor (Vo) is 2mV * 1000 lux = 2000mV or 2V.
The input voltage to the amplifier (Vi) is the same as the output voltage of the sensor, which is 2V.
Therefore, the voltage gain Av of the amplifier is:
Av = 2V / 2V = 1
This means that the amplifier does not amplify the voltage signal from the sensor. The display will show the light intensity from 1 lux to 1000 lux as the voltage varies from 0V to 2V.
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