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Electric Circuit Analysis Question Paper - Jun 18 - Electrical And Electronics (Semester 3) - Visveswaraya Technological University (VTU)
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Electric Circuit Analysis - Jun 18
Electrical And Electronics (Semester 3)
Total marks: 80
Total time: 3 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Draw neat diagrams wherever necessary.
1.a.
For the circuit shown in Fig.Q.1(a) find 
by mesh analysis.
(5 marks)
00
by mesh analysis.
1.b.
Find the equivalent resistance across the terminals .AB of the network shown in the figureQ.1(b) using star delta transformation.
(5 marks)
00
1.c.
Compute resonant frequency ,half power frequency ,bandwidth and quality factor for a given RLC series circuit with 
.Also calculate the reactances at reasonance.
(6 marks)
00
.Also calculate the reactances at reasonance.
OR
2.a.
Two branches of a parallel circuit have elements $R_{L}=6 \Omega, L=I m H$ and $R_{C}=4 \Omega$ and $C=20 \mu F$ .Determine the frequency of reasonance when excited with voltage source variable frequency.
(5 marks)
00
2.b.
With the equilibrium equation using KVL for the network shown figQ.2(b).Draw its dual and also write its equilibrium equations.
(5 marks)
00
2.c.
In the network shown in Fig.Q.2(c) .solve for all branch currents using nodal analysis and also show that the sum of power absorbed/delivered by all branches in zero.
(6 marks)
00
Module - -2
3.a.
State and prove superposition theorem with an illustration.
(5 marks)
00
3.b.
Obtain the Thevenin equivalent circuit as seen by the load impedance for the network n in Fig..Q.3(b).
(5 marks)
00
3.c.
State Millman's theorem abd apply it to find the current through $\mathbf{R}_{\mathbf{L}}$ in the circuit shown Fig.q.3(c).
(6 marks)
00
OR
4.a.
Prove that maximum power is transferred to the load in an ac circuit when $Z_{L}=Z_{i}^{*}$ where 
(5 marks)
00
4.b.
Determine the Nortons equivalent circuit shown in Fig.Q.4(b) as seen by the terminals 'a' and 'b'.
(5 marks)
00
4.c.
In the single source network shown in Fig.Q.4(c) find the current 'I' flowing through the 5$\Omega$ branch.Also verify reciprocity theorem for this circuit.
(6 marks)
00
Module - 3
5.a.
In the network shown in Fig.Q.5(a) ,switch is changed from the position 'a' to 'b' at t = 0.Solve for i, $\frac{d i}{d t}$ and $\frac{d^{2} i}{d t^{2}}$ at $t=0+$ if $R=1000 \Omega, L=1 H, C=0.1 \mu F$ and $V=100 V$.
(5 marks)
00
5.b.
In the circuit shown in fig.Q.5(b) ,switch is opened at time t= 0 .Find the values of 
$\frac{d^{2} v}{d t^{2}}$ at $t=0+$ and $v(\infty)$ .
(5 marks)
00
$\frac{d^{2} v}{d t^{2}}$ at $t=0+$ and $v(\infty)$ .
5.c.
Consider a circuit consisting of 1ohm resistance in series with 1F capacitor excited with 5V with DC source.Derive an expression for the current flowing in the circuit and draw the current waveform and also calculate the current at 0.1sec.
(6 marks)
00
OR
6.a.
Discuss the behaviour of R,L,C elements at ,
(6 marks)
00
i)the time of switching (t= 0+) ii)under steady state $(1=\infty)$
6.b.
In the circuit shown in Fig.Q.6(b) ,the switch was in position 'a'and circuit was under steady state .At t=0 ,the switch is moved to position b.Find v(t) and t equal to i)0- ii)0+ iii)$\alpha$ iv) 0.08S
(10 marks)
00
Module - 4
7.a.
Synthesis the waveform shown in Fig.Q.7(a) and also write the Laplace transform synthesized equation.
(5 marks)
00
7.b.
State and prove final value theorem as applied in Laplace transform and hence find $x(\infty)$ of $x(s)=\frac{5}{s(s+1)(s+2)}$
(5 marks)
00
7.c.
Determine the voltage $v_{c}(t)$ for $t \geq 0$ for the circuit shown in Fig.q.7(c) using Laplace tranform method in the circuit,switch is opened at t=0.
(6 marks)
00
OR
8.a.
In the circuit shown in fig.Q.8(a) the switch is initially in closed position .The switch is opened at t=0.Determine the expression for current through the resistor using Laplace transform method for $t \geq 0$
(5 marks)
00
8.b.
Find the Laplace transform of the periodic signal shown in Fig.Q8(b) .
(5 marks)
00
8.c.
Derive the expression for the current flowing through a deries RL,circuit excited with a DC source of V volts using Laplace transform method.
(6 marks)
00
Module - 5
9.a.
Derive an expression for 'Displacement voltage of neutral' in a star connected unbalanced load supplied with 3$\phi$ balanced supply voltages.
(5 marks)
00
9.b.
Find the Y parameters for the network shown in Fig.Q.9(b)
(5 marks)
00
9.c.
Obtain the driving point impedance function for the network shown in Fig.q.9(c) .Also plot the poles and zeroes in the plane
(6 marks)
00
OR
10.a.
An imbalanced 3$\phi$ load is supplied by a symmetrical 3$\phi$ , 440V ,3 wire system .The star connected load branch impedances are 
(5 marks)
00
10.b.
Obtain T parameters for the network shown in Fig.Q10(b) .Using these parameters find Z parameters.
(7 marks)
00
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