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Network Graphs and Circuit Analysis - ECE

A comprehensive test on network graphs, circuit analysis techniques, impedance calculations, and power transfer in Electronics and Communication Engineering.

20 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

In the interconnection of ideal sources shown in the figure, it is known that the 60 V source is absorbing power.

Which of the following can be the value of the current source I?

  1. 10 A
  2. 13 A
  3. 15 A
  4. 18 A
Question 2 Multiple Choice (Single Answer)

The RC circuit shown in the figure is

  1. a low-pass filter
  2. a high-pass filter
  3. a band-pass filter
  4. a band-reject filter
Question 3 Multiple Choice (Single Answer)

A series RLC circuit has a resonance frequency of 1 kHz and a quality factor Q = 100. If each R, L and C is doubled from its original value, the new Q of the circuit is

  1. 25
  2. 50
  3. 100
  4. 200
Question 4 Multiple Choice (Single Answer)

In the circuit shown below, the value of RL such that the power transferred to RL is maximum is

  1. 5$\Omega$
  2. 10$\Omega$
  3. 15$\Omega$
  4. 20$\Omega$
Question 5 Multiple Choice (Single Answer)

The ABCD parameters of an ideal n : 1 transformer shown in figure are $
\left[
\begin{array}
\ n & 0 \\
0 & x
\end{array}
\right]

$. The value of X will be

  1. n
  2. $\dfrac{1}{n}$
  3. n2
  4. $\dfrac{1}{n^2}$
Question 6 Multiple Choice (Single Answer)

A circuit consists of a resistor, an inductor and a capacitor connected in series to a 150 V AC mains. For the circuit, R = 9 Ohms, XL = 28 Ohms and XC = 16 Ohms. What is the value of the current in the circuit?

  1. 10 A
  2. 15 A
  3. <font size="2"><font face="Arial">20 A</font></font>
  4. 25 A
Question 7 Multiple Choice (Single Answer)

Impedance Z as shown in the figure is

  1. $j29\Omega$
  2. $j9\Omega$
  3. $j19\Omega$
  4. $j39\Omega$
Question 8 Multiple Choice (Single Answer)

For the circuit shown in the figure, the initial conditions are zero. Its transfer function H(s) =$\dfrac{V_0(s)}{V_i(s)}$is

  1. $\dfrac{1}{s^2 + 10^6s + 10^6}$
  2. $\dfrac{10^6}{s^2 + 10^3s + 10^6}$
  3. $\dfrac{10^3}{s^2 + 10^3s + 10^6}$
  4. $\dfrac{10^6}{s^2 + 10^6s + 10^6}$
Question 9 Multiple Choice (Single Answer)

With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:
(i) 1$\Omega$connected at port B draws a current of 3 A
(ii) 2.5 $\Omega$ connected at port B draws a current of 2 A

With 10 V dc connected at port A, the current drawn by 7 $\Omega$connected at port B is

  1. 3/7 A
  2. 5/7
  3. 1A
  4. 9/7 A
Question 10 Multiple Choice (Single Answer)

For parallel RLC circuit, which one of the following statements is NOT correct?

  1. The bandwidth of the circuit deceases if R is increased.
  2. The bandwidth of the circuit remains same if L is increased.
  3. At resonance, input impedance is a real quantity.
  4. At resonance, the magnitude of input impedance attains its minimum value.
Question 11 Multiple Choice (Single Answer)

With 10 V dc connected at port A in the linear non-reciprocal two-port network shown below, the following were observed:

(i) 1$\Omega$connected at port B draws a current of 3 A.
(ii) 2.5 $\Omega$ connected at port B draws a current of 2 A.


For the same network, with 6 V dc connected at port A, 1 $\Omega$ connected at port B draws 7/3 A. If 8 V dc is connected to port A, the open circuit voltage at port B is

  1. 6 V
  2. 7 V
  3. 8 V
  4. 9 V
Question 12 Multiple Choice (Single Answer)

The time domain behaviour of an RL circuit is represented by

L$\dfrac{d_i}{d_t} + R_i = V_0 (1 + Be^{-RT/L} sint ) \ u(t)$

For an initial current of i (0) = $\dfrac{V_0}{R}$, the steady state value of the current is given by

  1. i (t) $\rightarrow \dfrac{V_0}{R}$
  2. i (t) $\rightarrow \dfrac{2V_0}{R}$
  3. i (t) $\rightarrow \dfrac{V_0}{R}$(1 + B)
  4. i (t) $\rightarrow \dfrac{2V_0}{R}$(1 + B)
Question 13 Multiple Choice (Single Answer)

The average power delivered to an impendence (4 -j3)$\Omega$by a current 5 cos(100$\Omega$t + 100) A is

  1. 44.2 W
  2. 50 W
  3. 62.5 W
  4. 125 W
Question 14 Multiple Choice (Single Answer)

Assuming both the voltage sources are in phase, the value of R for which maximum power is transferred from circuit A to circuit B is

  1. 0.8 $\Omega$
  2. 1.4 $\Omega$
  3. 2$\Omega$
  4. 2.8 $\Omega$
Question 15 Multiple Choice (Single Answer)

For the circuit shown in the figure, the Thevenin voltage and resistance looking into X - Y are

  1. $\dfrac{4}{3}$V, 2$\Omega$
  2. 4V, $\dfrac{2}{3}$$\Omega$
  3. $\dfrac{4}{3}$V, $\dfrac{2}{3}$$\Omega$
  4. 4V, 2$\Omega$
Question 16 Multiple Choice (Single Answer)

The driving point impedance Z(s) of a network has the pole-zero locations as shown in the figure below. If Z(0) = 3, then Z(s) is

  1. $\dfrac{3(s+3)}{s^2 + 2s + 3}$
  2. $\dfrac{2(s+3)}{s^2 + 2s + 2}$
  3. $\dfrac{3(s-3)}{s^2 - 2s - 2}$
  4. $\dfrac{2(s-3)}{s^2 - 2s - 2}$
Question 17 Multiple Choice (Single Answer)

The minimum number of equations required to analyse the circuit shown in the figure below is

  1. 3
  2. 4
  3. 6
  4. 7
Question 18 Multiple Choice (Single Answer)

In the following graph, the number of trees (P) and the number of cut-set (Q) are

  1. P = 2 Q = 2
  2. P = 2 Q = 6
  3. P = 4 Q = 6
  4. P = 4 Q = 10
Question 19 Multiple Choice (Single Answer)

The equivalent inductance measured between the terminals 1 and 2 for the circuit shown in the figure is

  1. L1 + L2 + M
  2. L1 + L2 – M
  3. L1 + L2 + 2M
  4. L1 + L2 – 2M
Question 20 Multiple Choice (Single Answer)

How much current will flow in a 100 Hz series RLC circuit, if VS = 20 V, RT = 66 ohms and XT = 47 ohms?

  1. 1.05 A
  2. 303 mA
  3. 247 mA
  4. 107 mA
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