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Figure 4 shows an operational amplifier circuit used in an audio mixing desk - AQA - A-Level Physics - Question 2 - 2019 - Paper 8

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Figure 4 shows an operational amplifier circuit used in an audio mixing desk. Figure 4 The power supply for the amplifier is -12 V and +12 V but this is not shown ... show full transcript

Worked Solution & Example Answer:Figure 4 shows an operational amplifier circuit used in an audio mixing desk - AQA - A-Level Physics - Question 2 - 2019 - Paper 8

Step 1

What is the operational amplifier configuration shown in Figure 4?

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Answer

The operational amplifier configuration shown in Figure 4 is a difference amplifier. This type of amplifier outputs the difference between the two input signals, effectively amplifying the difference while minimizing any common signals.

Step 2

Calculate the amplitude of the output voltage.

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Answer

To calculate the output voltage, we will use the formula for a difference amplifier:

Vout=(V+V)×(RfRin)V_{out} = (V_{+} - V_{-}) \times \left(\frac{R_f}{R_{in}}\right)

Given:

  • Input A (V+) = 150 mV
  • Input B (V-) = 0 V
  • For resistor selection, using Rf = 1 MΩ and Rin = 100 kΩ:

Using the formula:

Vout=(0V150mV)×(1MΩ100kΩ)V_{out} = (0 V - 150 mV) \times \left(\frac{1 MΩ}{100 kΩ}\right)

Calculating:

Vout=(150mV)×10=1.5VV_{out} = (-150 mV) \times 10 = -1.5 V

Thus, the amplitude of the output voltage is 1.5 V, with the correct sign being negative.

Step 3

Explain how the operational amplifier circuit affects the noise and the strength of the output signal.

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Answer

The operational amplifier circuit effectively removes common noise present in both signals. Since signal 1 and signal 2 are combined in a difference amplifier, any noise that affects both signals equally will be subtracted out and thus minimized in the output.

Additionally, the signals are processed in such a way that their strengths can reinforce each other, provided they are in phase. When signal 2 is subtracted from signal 1, the noise reduction and the different phases will contribute to the output signal's clarity and strength, leading to a more accurate representation of the original audio input.

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