Let \( C \) be a clockwise oriented closed curve in the complex plane defined by \( |z| = 1 \). Further, let \( f(z) = jz \) be a complex function, where \( j = \sqrt{-1} \). Then, \[ \oint_C f(z)\, dz = \underline{{2cm}} \quad {(round off to the nearest integer)}. \]
Consider a distribution feeder, with \( R/X \) ratio of 5. At the receiving end, a 350 kVA load is connected. The maximum voltage drop will occur from the sending end to the receiving end, when the power factor of the load is: \[ {(round off to three decimal places).} \]
In an experiment to measure the active power drawn by a single-phase RL Load connected to an AC source through a \(2\,\Omega\) resistor, three voltmeters are connected as shown in the figure below. The voltmeter readings are as follows: \( V_{{Source}} = 200\,{V}, \quad V_R = 9\,{V}, \quad V_{{Load}} = 199\,{V}. \) Assuming perfect resistors and ideal voltmeters, the Load-active power measured in this experiment, in W, is ___________ (round off to one decimal place). 
The steady-state capacitor current of a conventional DC–DC buck converter operating in continuous conduction mode (CCM) is shown over one switching cycle. If the input voltage is \(30\,\text{V}\), the value of the inductor used (in mH) is ____________ (rounded off to one decimal place). 
Consider the state-space model
\[ \dot{\mathbf{x}}(t) = A \mathbf{x}(t) + B r(t), \quad y(t) = C \mathbf{x}(t) \]
where \( \mathbf{x}(t) \), \( r(t) \), and \( y(t) \) are the state, input, and output, respectively. The matrices \( A \), \( B \), and \( C \) are given below:
\[ A = \begin{bmatrix} 0 & 1 \\ -2 & -3 \end{bmatrix}, \quad B = \begin{bmatrix} 0 \\ 1 \end{bmatrix}, \quad C = \begin{bmatrix} 1 & 0 \end{bmatrix} \]
The sum of the magnitudes of the poles is ____________ (round off to the nearest integer).