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Electric Circuit Analysis Question Paper - Dec 17 - Electrical And Electronics (Semester 3) - Visveswaraya Technological University (VTU)
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Electric Circuit Analysis - Dec 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.
Module - 1
1.a. Distinguish between i)active and passive elements ii)ideal and practical sources
1.b.
Determine the currents $\mathrm{i}_{\mathrm{t}}, \mathrm{i}_{2}$ and $\mathrm{i}_{3}$ in the circuit of fig.Q1(b) using mesh current method.
(6 marks)
00
1.c.
find the node voltage for circuit of Fig1(c) using nodal analysis.
(6 marks)
00
OR
2.a.
Find the equivalent resistance across a - b of the circuit of fig2(a) using delta star conversion
(4 marks)
00
2.b.
A series resonance circuit has $R=10 \Omega . L=5 \mathrm{mH},$ and $C=20 \mu \mathrm{F}$ .Find the following i) resonant frequency ii) Q- factor and iii) Current at resonance condition ,if the applied voltage is 100V .Hence ,derive the expression for the same.
(6 marks)
00
2.c.
Draw the dual of the network shown in figQ2(c)
(4 marks)
00
Module - 2
3.a.
state and explain maximum power transfer theorem for DC circuit
(6 marks)
00
3.b.
Find the Thevenin's and Norton's equivalent circuit for the network shown in figQ.3(b) seen from the terminals a-b
(10 marks)
00
OR
4.a.
State and prove reciprocity theorem.
(6 marks)
00
4.b.
Using super position theorem ,find the current I in the network shown in FigQ4(b).
(10 marks)
00
Module - 3
5.a.
What are initial condition and their use in network analysis?
(4 marks)
00
5.b.
For the network elements R,L and C ,write the equivalent circuits :
(6 marks)
00
i) At $1=0^{+}$ (initial condition) ii) At $t=\infty$ (final condition0
5.c.
In the network shown in FigQ5(c) the switch K is closed at t = 0 with the capacitor uncharged .Find the values for i , $\frac{d i}{d t}$ and $\frac{d^{2} i}{d t^{2}}$ at $t=0^{+}$.
(6 marks)
00
OR
6.a.
In the network of FigQ6(a) the switch K is changed from position a to b t=0.Solve for i. $\frac{d i}{d t}$ and $\frac{d^{2} i}{d t^{2}}$ at $t=0^{+}$ Assume steady state condition for K in position 'a'
(8 marks)
00
6.b.
Then network shown in FigQ6(b), has the switch K opened at t = 0 .Solve for $V, \frac{d V}{d t}$ and $\frac{d^{2} V}{d t^{2}}$ at $t=0^{+}$
(8 marks)
00
Module - 4
7.a.
Obtain the Laplace transform of :
(6 marks)
00
7.a.i
Ramp function t u(t).
(2 marks)
00
7.a.ii
Exponential function $e \quad \mu(t)$
(2 marks)
00
7.a.iii
Sinusoidal function smost u(t)
(2 marks)
00
7.b.
Find the Laplace transform of
(4 marks)
00
7.b.i
i) $V(t)=4 s(t-2)-3 t u(t)$
(2 marks)
00
7.b.ii
$V(t)=u(t) \cup(t-2)$
(2 marks)
00
7.c.
In the series RLC circuit the capacitor is initially charged to voltage $V_{0}=1 V$ with the switch K open.Find the circuit i(t) if the switch K is closed at t=0 .using Laplace transform method refer figQ7(c).
(6 marks)
00
OR
8.a.
State and prove final value theorem
(6 marks)
00
8.b.
Determine the initial value f(0) and final value $f(\infty)$ for the function given by :
(4 marks)
00
$f(s)=\frac{5 s^{2}+10}{2 s\left[s^{2}+3 s+5\right]}$
8.c.
Find the Laplace transforms of the following wave forms refer figQ8(c)
(6 marks)
00
Module - 5
9.a.
Define y parameters and T parameters of a two port network.Write the condition for symmetry and reciprocity.
(4 marks)
00
9.b.
Obtain Y parameters in terms of T parameters .
(6 marks)
00
9.c.
Find y parameters for the network shown in Fig.Q9(c).
(6 marks)
00
OR
10.a.
Find an expression for driving point impedance z(s) of R-C ladder network shown in FigQ10(a) also the pole-zero diagram
(8 marks)
00
10.b.
Find the effective voltage ,effective current an daverage power supplied to a passive network if the applied voltage ,V=200+100$\cos \left[500 t+30^{\circ}\right]+75 \cos \left[1500 t+60^{\circ}\right]$ volts and resulting current is ,$i=3.53 \cos \left[500 t+75^{\circ}\right]+3.55 \cos \left[1500 t+78.45^{\circ}\right],$ Amps.
(8 marks)
00
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