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Electric Circuit Analysis Question Paper - Jun 17 - Electrical And Electronics (Semester 3) - Visveswaraya Technological University (VTU)
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Electric Circuit Analysis - Jun 17
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.
Transform the network given in FigQ1(a) in to a single voltage source using source transformation method
(5 marks)
00
1.b.
Find the currents i1,i2.i3 in the network given FigQ1(b) using mesh analysis.
(6 marks)
00
1.c.
Find the current through 0.5$\Omega$ resistance in the FigQ1(c) using node analysis.
(5 marks)
00
OR
2.a.
Determine the equivalent resistance between the terminals A and B in the network in the figQ2(a) using star delta transformation.
(6 marks)
00
2.b.
Derive expression for resonant frequency in series RLC circuit.
(5 marks)
00
2.c.
Give the comparison between series and parallel resonance.
(5 marks)
00
Module - 2
3.a.
State and explain superposition theorem.
(5 marks)
00
3.b.
Obtain the current Ix in the circuit shown FigQ3(b) using Thevernin's theorem.
(5 marks)
00
3.c.
Find the Norton's equivalent circuit at the terminals A and B in the network given in FigQ3(c)
(6 marks)
00
OR
4.a.
State and explain Millman's theorem
(5 marks)
00
4.b.
Verify Reciprocity theorem for the network given in FigQ4(b)
(5 marks)
00
4.c.
Find the value of load resistance $R_{L}$ for the maximum power to be transferred to the load and also find maximum power for the network shown in FigQ4(c)
(6 marks)
00
Module - 3
5.a.
Switch K is opened at time t=0 after reaching the steady state in the circuit shown in FigQ5(a) Find $V_{k}, \frac{d V_{k}}{d t}$ and $\frac{d^{2} v_{k}}{d t^{2}}$ at time $t=0^{+}$
(5 marks)
00
5.b.
In the circuit shown in Q5(b) switch is opened at time t=0 .Find the values $\mathrm{V}, \frac{\mathrm{dV}}{\mathrm{dt}}$ and $\frac{d^{2} v}{d t^{2}}$ at $t=0^{+}$
(5 marks)
00
5.c.
In the circuit shown in FigQ5(c) , find the current i(t).The circuit has reached steady state with switch closed and switch is open at t=0
(6 marks)
00
OR
6.a.
Switch is closed at time t=0 in the circuit shown in FigQ6(a).Find the values of $i_{1}, i_{2}$ $\frac{d i_{1}}{d t}, \frac{d i_{2}}{d t}$ at time $A=0$
(5 marks)
00
6.b.
Switch K is opened after the circuit has reached steady state state t=0 in the network shown in FigQ6(b).Find the expression for $V_{2}(t)$ for time $t\gt0$
(5 marks)
00
6.c.
In the circuit shown in figQ6(c) the relay is adjusted to operate at a current of 5A Switch is closed at time t=0 and relay is found to operate at t=0.347sec.Find the value of inductance.
(6 marks)
00
Module - 4
7.a.
Find Laplace transform for the following function 
(5 marks)
00
7.b.
State and prove initial value theorem
(5 marks)
00
7.c.
In the circuit shown in FigQ7(c) find the expression for current if switch is closed at t=0.Assume initial charge on capicitance is zero.
(6 marks)
00
OR
8.a.
Find inverse Laplace transform of following functions
(5 marks)
00
i) $\frac{S^{3}+7 S^{2}+5}{S\left(S^{3}+3 S^{2}+4 S+2\right)} \quad$ ii ) $\frac{S(S+4)(S+8)}{(S+1)(S+6)}$
8.b.
Using initial and final value theorems, where they apply find $f(0)$ and $f(\infty)$ for the following functions.
(5 marks)
00
i) $\frac{s^{3}+7 s^{2}+5}{S\left(S^{3}+3 S^{2}+4 S+2\right)} \quad$ ii ) $\frac{S(S+4)(S+8)}{(S+1)(S+6)}$
8.c.
Find i(t) using Laplace transforms switch is closed at time t=0 with zero initial conditions.
(6 marks)
00
Module - 5
9.a.
Explain the method of analyzing a 3ph star connected load by using Millman's theorem
(5 marks)
00
9.b.
A delta connected three phase load with impedance is connected across a 3ph 230V 50Hz symmetrical RYB supply.The impedances are $(28+j 0)(2) \Omega,(25+j 45) \Omega$ and $(0-j 65) \Omega$.Find line and phase currents.
(6 marks)
00
9.c.
Find z parameter of the circuit shown inFigQ9(c)
(5 marks)
00
OR
10.a.
A star connected load with $(3+j 0) \Omega(2+j 3) \Omega$ and $(2-j 1) \Omega$ connected in $3-p h, 4$ wires
connected system with phase sequence $A C B .$ Find line currents and neural current.
(6 marks)
00
10.b.
Explain the concept of unbalanced load.State various types of unbalanced loads.
(5 marks)
00
10.c.
Find T parameters of the circuit inFigQ10(c) .
(5 marks)
00
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