A particular op amp using ±15-V supplies operates linearly for outputs in the range−14 V to+14 V. If used in an inverting amplifier configuration of gain −100,what is the rms value of the largest possible sine wave that can be applied at the input without output clipping?

V(rms) = 98.99 mV ≅ 100 mV

Explanation:

Outputs = -14 to +14

Gain = =100

We know that Gain = Output/Input

so, to find out the input voltage:

Input = Output/Gain

         = ±14/-100

Input = 0.14 V

This is the peak input voltage (Vpk) of the sine wave and the question is asking us to find the rms value.

To calculate the rms value:

V(rms) = V(pk)/√2

           = 0.14/√2

          = 0.09899

          = 98.99 mV

V(rms) ≅ 100 mV