Calculate and compare find the minimum value

Solved Step by Step With Explanation- RC for Envelope Detector

Questions

To ensure that the envelope detector can follow the envelope of the AM signal at all times, you need to consider the time constant of the RC circuit. The envelope of the AM signal is given by:

x_e(t) = 10(1 + √(15/16))cos(1000t)

So, you want to make sure that RC >> Tc.

Now, calculate Tc and compare it to RC:

Now, let's check the answer choices:

a) πc <= (1/1000√15)

πc ≈ 3.1416 x 10^(-6)

RC <= 2.5 x 10^(-6)

The condition RC <= (1/1000√16) is satisfied because RC is less than or equal to 2.5 x 10^(-6).

RC <= 1000 x 4 = 4000

The condition RC <= 1000√16 is not satisfied because RC is much larger than 4000.