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Circuit Network Analysis

Comprehensive test covering electrical circuit analysis topics including impedance, RLC circuits, transient and steady state analysis, Laplace transforms, two-port networks, and network graphs in Electronics and Communication Engineering.

20 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

Consider the following statements S1 and S2
S1 : At the resonant frequency, the impedance of a series RLC circuit is zero.
S2 : In a parallel GLC circuit, increasing the conductance G results in increase in its Q factor.
Which one of the following is correct?

  1. S1 is FALSE and S2 is TRUE.
  2. Both S1 and S2 are TRUE.
  3. S1 is TRUE and S2 is FALSE.
  4. Both S1 and S2 are FALSE.
Question 2 Multiple Choice (Single Answer)

In the following figure, C1 and C2 are ideal capacitors. C1 has been charged to 12 V before the ideal switch S is closed at t = 0. The current i(t) for all t is

  1. zero
  2. a step function
  3. an exponentially decaying function
  4. an impulse function
Question 3 Multiple Choice (Single Answer)

The circuit shown below is driven by a sinusoidal input vi = Vp cos (t /RC). The steady state output vo is

  1. (Vp/3) cos (t /RC)
  2. (Vp/3) sin (t /RC)
  3. (Vp / 2) cos (t /RC)
  4. (Vp /2) sin (t /RC)
Question 4 Multiple Choice (Single Answer)

An independent voltage source in series with an impedance ZS = RS + jXS delivers a maximum average power to a load impedance ZL when

  1. ZL = RS + jXS
  2. ZL = RS
  3. ZL = jXS
  4. ZL = RS - jXS
Question 5 Multiple Choice (Single Answer)

A 2 mH inductor with some initial current can be represented as shown below, where s is the Laplace Transform Variable. The value of initial current is

  1. 0.5 A
  2. 2.0 A
  3. 1.0 A
  4. 0.0 A
Question 6 Multiple Choice (Single Answer)

The driving point impedance of the following network is given by
Z (s) = $\dfrac{0.2s}{s^2 + 0.1s + 2}$

The component values are

  1. L = 5 H, R = 0.5 $\Omega$, C = 0.1 F
  2. L = 0.1 H, R = 0.5 $\Omega$, C = 5 F
  3. L = 5 H, R = 2 $\Omega$, C = 0.1 F
  4. L = 0.1 H, R = 2 $\Omega$, C = 5 F
Question 7 Multiple Choice (Single Answer)

In the circuit shown, the switch S is open for a long time and is closed at t = 0. The current i(t) for t$\ge$ 0+ is

  1. i(t)=0.5-0.125e-1000tA
  2. i(t)=1.5-0.125e-1000tA
  3. i(t)=0.5-0.5e-1000tA
  4. i(t)=0.375e-1000tA
Question 8 Multiple Choice (Single Answer)

For the circuit in the figure, the instantaneous current i1 (t) is

  1. $\dfrac{10\sqrt 3}{2} \angle 90^\circ Amps$
  2. $\dfrac{10\sqrt 3}{2} \angle -90^\circ Amps$
  3. $5 \angle 60^\circ Amps$
  4. $5 \angle -60^\circ Amps$
Question 9 Multiple Choice (Single Answer)

Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0.

At t = 0+, the current i1 is

  1. $\dfrac{-V}{2R}$
  2. $\dfrac{-V}{R}$
  3. $\dfrac{-V}{4R}$
  4. zero
Question 10 Multiple Choice (Single Answer)

The first and the last critical frequency of an RC-driving point impedance function must respectively be

  1. a zero and a pole
  2. a zero and a zero
  3. a pole and a pole
  4. a pole and a zero
Question 11 Multiple Choice (Single Answer)

The differential equation for the current i(t) in the circuit of figure given below is

  1. 2$\dfrac{d^2i}{dt^2} + 2 \dfrac{di}{dt} + i(t) = sin t$
  2. $\dfrac{d^2i}{dt^2} + 2 \dfrac{di}{dt} + 2i(t) = cos t$
  3. 2$\dfrac{d^2i}{dt^2} + 2 \dfrac{di}{dt} + i(t) = cos t$
  4. $\dfrac{d^2i}{dt^2} + 2 \dfrac{di}{dt} + 2i(t) = sin t$
Question 12 Multiple Choice (Single Answer)

For the two-port network shown below, the short circuit admittance parameter matrix is

  1. $\left[ \begin{array} \ 4 & -2 \\\\ -2 & 4 \end{array} \right] $S
  2. $\left[ \begin{array} \ 1 & -0.5 \\\\ -0.5 & 1 \end{array} \right] $S
  3. $\left[ \begin{array} \ 1 & 0.5 \\\\ 0.5 & 1 \end{array} \right] $S
  4. $\left[ \begin{array} \ 4 & 2 \\\\ 2 & 4 \end{array} \right] $S
Question 13 Multiple Choice (Single Answer)

Consider the network graph shown in the figure. Which one of the following is NOT a 'tree' of this graph?

Question 14 Multiple Choice (Single Answer)

If the transfer function of the following network is

The value of the load resistance RL is

  1. $\dfrac{R}{4}$
  2. $\dfrac{R}{2}$
  3. R
  4. 2R
Question 15 Multiple Choice (Single Answer)

Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0.

I1 (s) and I2 (s) are the Laplace transforms of i1 (t) and i2 (t) respectively. The equation for the loop current I1 (s) and I2 (s) for the circuit shown in figure Q.33-34, after the switch is brought from position 1 to position 2 at t = 0, are

  1. $\left[ \begin{array} \ R+Ls+\dfrac{1}{Cs} & -Ls \\\\ -Ls & R+Ls+\dfrac{1}{Cs} \end{array} \right] \left[ \begin{array} \ I_1 & (s) \\\\ I_2 & (s) \end{array} \right] = \left[ \begin{array} -\dfrac{V}{S} \\\\ 0 \end{array} \right] $
  2. $\left[ \begin{array} \ R+Ls+\dfrac{1}{Cs} & -Ls \\\\ -Ls & R+\dfrac{1}{Cs} \end{array} \right] \left[ \begin{array} \ I_1 & (s) \\\\ I_2 & (s) \end{array} \right] = \left[ \begin{array} \ -\dfrac{V}{S} \\\\ 0 \end{array} \right] $
  3. $\left[ \begin{array} \ R+Ls+\dfrac{1}{Cs} & -Ls \\\\ -Ls & R+Ls+\dfrac{1}{Cs} \end{array} \right] \left[ \begin{array} \ I_1 & (s) \\\\ I_2 & (s) \end{array} \right] = \left[ \begin{array} \ \dfrac{V}{S} \\\\ 0 \end{array} \right] $
  4. $\left[ \begin{array} \ R+Ls+\dfrac{1}{Cs} & -Ls \\\\ -Ls & R+Ls+\dfrac{1}{Cs} \end{array} \right] \left[ \begin{array} \ I_1 & (s) \\\\ I_2 & (s) \end{array} \right] = \left[ \begin{array} \ -\dfrac{V}{S} \\\\ 0 \end{array} \right] $
Question 16 Multiple Choice (Single Answer)

The circuit shown in the figure, with R = $\dfrac{1}{3}$$\Omega$, L = $\dfrac{1}{3}$H and C = 3 F has input voltage v (t) = sin 2t. The resulting current i(t) is

  1. 5 sin (2t + 53.10)
  2. 5 sin (2t - 53.10)
  3. 25 sin (2t + 53.10)
  4. 25 sin (2t - 53.10)
Question 17 Multiple Choice (Single Answer)

If VA - VB = 6 V, then Vc - VD is

  1. -5V
  2. 2V
  3. 3V
  4. 6V
Question 18 Multiple Choice (Single Answer)

In the following circuit, switch S is closed at t = 0. The rate of change of current $\dfrac{di}{dt} (0^+)$ is given by

  1. 0
  2. $\dfrac{R_s I_s}{L}$
  3. $\dfrac{(R+R_s) I_s}{L}$
  4. $\infty$
Question 19 Multiple Choice (Single Answer)

In the circuit shown, VC is 0 volts at t = 0 sec. For t > 0, the capacitor current ic (t) where t is in seconds, is given by

  1. 0.50 exp (-25t) mA
  2. 0.25 exp (-25t) mA
  3. 0.50 exp (-12.5t) mA
  4. 0.25 exp (-6.25t) mA
Question 20 Multiple Choice (Single Answer)

The condition on R, L and C such that the step response y(t) in figure has no oscillations, is

  1. $R \ge \dfrac{1}{2}\sqrt{\dfrac{L}{C}}$
  2. $R \ge \sqrt{\dfrac{L}{C}}$
  3. $R \ge 2\sqrt{\dfrac{L}{C}}$
  4. $R \ge \dfrac{1}{\sqrt{LC}}$
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