What is the gain of an amplifier set to give an output signal of 1 V for an input of 10 mV?

To determine the gain of an amplifier, you can use the formula:

Gain = Output Voltage / Input Voltage.

In this scenario, the output voltage is 1 V, and the input voltage is 10 mV. First, it's essential to convert the input voltage from millivolts to volts for consistent units:

10 mV = 0.010 V.

Now, applying the gain formula:

Gain = 1 V / 0.010 V = 100.

The value calculated suggests that an intermediate step is needed to understand how gain is typically expressed in decibels (dB) or a ratio. However, since the choices provided appear to relate to a multiplicative gain factor, we can further assess the calculations.

If the output is 1 V and the input is 10 mV, you can convert both values into the same units to find the ratio, reinforcing that the output is indeed much higher than the input, indicating significant amplification.

To express gain as a direct numerical factor, recognizing that 1 V is 1000 times greater than 0.010 V is correct. Thus, instead of 100, the correct expression in terms of the options given presumably requires rechecking the scaling or labeling of the values