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If the voltage gain for each input of a summing amplifier with a 4.7 kΩ feedback resistor is unity, the input resistors must have a value ofa.4.7 kΩb.4.7 kΩ divided by the number of inputsc.4.7 kΩ times the number of inputd.None of these

Question

If the voltage gain for each input of a summing amplifier with a 4.7 kΩ feedback resistor is unity, the input resistors must have a value ofa.4.7 kΩb.4.7 kΩ divided by the number of inputsc.4.7 kΩ times the number of inputd.None of these

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Solution

The correct answer is a. 4.7 kΩ.

Here's why:

The voltage gain (Av) of an inverting amplifier is given by the ratio of the feedback resistor (Rf) to the input resistor (Rin). In mathematical terms, Av = -Rf/Rin.

In this case, we're told that the voltage gain is unity (Av = 1) and the feedback resistor is 4.7 kΩ.

So, we can set up the equation as follows: 1 = -4.7 kΩ / Rin.

To solve for Rin, we simply multiply both sides by Rin and then divide by 1 to isolate Rin on one side of the equation.

Doing so gives us Rin = -4.7 kΩ / 1 = -4.7 kΩ.

However, because resistance cannot be negative, we take the absolute value, which gives us Rin = 4.7 kΩ.

Therefore, if the voltage gain for each input of a summing amplifier with a 4.7 kΩ feedback resistor is unity, the input resistors must have a value of 4.7 kΩ.

This problem has been solved

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