The input voltage to a certain op-amp inverting amplifier is 10 mV, and the output is 2 V. What is the closed-loop voltage gain?
200
To find the closed-loop voltage gain of an inverting amplifier, you need to use the equation:
Voltage Gain (Av) = - (Rf / Rin)
Where Rf is the feedback resistor and Rin is the input resistor.
However, based on the given information, we don't have the values of Rf and Rin. Therefore, it is not possible to determine the closed-loop voltage gain without these values.
To determine the closed-loop voltage gain of an op-amp inverting amplifier, you need to know the input voltage (Vin) and the output voltage (Vout). The closed-loop voltage gain (Av) is defined as the ratio of the output voltage to the input voltage.
In this case, the input voltage (Vin) is given as 10 mV and the output voltage (Vout) is given as 2 V.
To find the closed-loop voltage gain (Av), you can use the following formula:
Av = -Vout / Vin
Substituting the given values, we have:
Av = -2 V / 10 mV
Before calculating, we need to ensure that the input and output voltages have the same units. In this case, we will convert the output voltage (2 V) to millivolts (mV):
2 V * 1000 mV/V = 2000 mV
Now we can calculate the closed-loop voltage gain:
Av = -2000 mV / 10 mV = -200
Therefore, the closed-loop voltage gain of the op-amp inverting amplifier is -200.