Final answer:
To sketch the bode plot for the given voltage gain, we need to plot the magnitude and phase of the gain as a function of frequency ω. By plotting the magnitude and phase on a logarithmic frequency scale, we can create the bode plot.
Step-by-step explanation:
The given voltage gain is H(ω) = 10 / ((1 + jω)(1 + jω/10)10)
To sketch the bode plot for this gain, we need to plot the magnitude and phase of the gain as a function of frequency ω.
The magnitude can be found by taking the absolute value of the gain, which is 10 / |(1 + jω)(1 + jω/10)10|.
The phase can be found by taking the argument of the gain, which is equal to the angle of (1 + jω) + the angle of (1 + jω/10) - the angle of 10.
By plotting the magnitude and phase on a logarithmic frequency scale, we can create the bode plot.