Question

Calculate f,T and w for each of the following signal and simulate them using falstad to show the source voltage waveform. (Show the screenshot for each simulation)

a. Input =5cos(2π1000t)V
b. Input =0.2sin(2π7000t)V
c. Input = square wave, amplitude =4 volts, T=8 milliseconds
d. Input = triangle (or Ramp) wave, amplitude =4 volts, T=5 milliseconds.

Answer 1

The frequency, period, and angular frequency are calculated for each signal. Frequencies are 1000 Hz, 7000 Hz, 125 Hz, and 200 Hz for the respective signals given. Simulation of these signals' voltage waveform can be performed using Falstad's Circuit Simulator.

Step-by-step explanation:

To calculate the frequency (f), period (T), and angular frequency (ω) for each given signal and simulate their voltage waveform using Falstad, we take the following steps:

1. For the input 5cos(2π•1000t)V, the angular frequency ω is 2π•1000 rad/s. The frequency f is calculated as ω/(2π) = 1000 Hz, and the period T is the inverse of the frequency, 1/f, which equals to 1 ms (0.001 s).
2. For the input 0.2sin(2π•7000t)V, the angular frequency ω is 2π•7000 rad/s. The frequency f is 7000 Hz, and the period T is approximately 0.143 ms (1/7000 s).
3. For the square wave with an amplitude of 4 volts and period T=8 milliseconds, the frequency f is 1/T which is 125 Hz.
4. For the triangle wave with an amplitude of 4 volts and period T=5 milliseconds, the frequency is 1/T, equaling 200 Hz.

To simulate these signal waveforms, you would input the specified equations into Falstad's Circuit Simulator. However, as a tutor, I am unable to provide screenshots. I recommend you use the simulator to visualize the voltage waveform for each input.