List of top Analog and Digital Electronics Questions

Consider the state-space model:

\[ \dot{x}(t) = A x(t) + B u(t) \] \[ y(t) = C x(t) \] \[ A = \begin{bmatrix} 0 & 1 \\ -2 & -3 \end{bmatrix}, \quad B = \begin{bmatrix} 0 \\ 1 \end{bmatrix}, \quad C = \begin{bmatrix} 1 & 0 \end{bmatrix} \]

The sum of the magnitudes of the poles is:

The input voltage \( v(t) \) and current \( I(t) \) of a converter are given by: \[ v(t) = 300 \sin(\omega t) \, \text{V} \] \[ i(t) = 10 \sin(\omega t - \frac{\pi}{6}) + 2 \sin(3 \omega t + \frac{\pi}{6}) + \sin(5 \omega t + \frac{\pi}{2}) \, \text{A} \] Where \( \omega = 2\pi \times 50 \, \text{rad/s} \), the input power factor of the converter is closest to:

A continuous-time periodic signal \( x(t) = 1 + 2 \cos(4\pi t) + 2 \cos(6\pi t) \). If \( T \) is the time period of \( x(t) \), then \[ \frac{1}{T} \int_0^T |x(t)|^2 \, dt = \ \_\_\_\_\_? \]

Given below are two statements, one is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): In an operational amplifier circuit, negative feedback is used to avoid operational amplifier to go into saturation.
Reason (R) : The negative feedback degenerates the output voltage amplitude and in turn reduces the voltage gain. 
In the light of the above statements, choose the correct answer from the options given below.

The average value of $V_{o}(t)$ of the given circuit will be