# Download JNTUA B.Tech 1-1 R13 2014 June Regular 13A02101 Electrical Circuits Question Paper

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Code: 13A02101
B.Tech I Year (R13) Regular Examinations June/July 2014
ELECTRICAL CIRCUITS
(Electrical & Electronics Engineering)

Time: 3 hours Max. Marks: 70
Part ? A
(Compulsory Question)
*****
Part ? B
(Answer all five units, 05 X 10 = 50 Marks)

Answer the following:(10 X 02 = 20 Marks)
1 (a) What is passive element? Give examples for passive elements.
(b) Define and explain coefficient of coupling.
(c) Define the terms RMS value and form factor.
(d) If R
a
, R
b
, R
c
connected in star, write down the expressions for equivalent delta connection.
(e) Define the band width and Q-factor.
(f) Write short notes on Tieset and cutset.
(g) State the Milliman?s theorem.
(h) Define and explain two port networks.
(i) Define the time constant of RL and RC circuits.
(j) Write down any two applications of Fourier transforms.

2 (a) Derive an expression for total inductance of two coupled coils connected in:
(i) series aiding mode and
(ii) series opposing mode.
(b) Find the current through each element in the network as shown in figure given below using star delta
transformation.

OR
3 (a) Explain in detail about the active elements.
(b) In a coupled circuit L
2
= 4L
1
and coupling coefficient K = 0.6. When L
1
and L
2
are connected in series
opposing the equivalent inductance is 44.2 mH. Find L
1
, L
2
and M.

4 (a) Derive the expression for form factor a sinusoidal voltage wave excited by V = V
m
Sin .
(b) A sinusoidal current wave is given by I = 50sin100 . Determine:
(i) The greatest rate of change of current.
(ii) Average and rms values of current.
(iii) The time interval between a maximum value and the next zero value of current.
OR
5 (a) Show that two wattmeters are sufficient to measure power in a balanced or unbalanced three-phase
load connected to a balanced supply with neat circuit diagram.
(b) A balanced mesh connected load of (8+j6)? per phase is connected to a 3-phase, 50 Hz, 230 V
supply. Calculate:
(i) Line current.
(ii) Power factor.
(iii) Reactive volt-ampere.
(iv) Total volt-ampere.
Contd. in page 2
Page 1 of 2
R13
UNIT - I
UNIT - II

4 K ?
1 K ?
3 K ?
2 K ?
5 K ?
O
O
A
B

45 V
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Code: 13A02101
B.Tech I Year (R13) Regular Examinations June/July 2014
ELECTRICAL CIRCUITS
(Electrical & Electronics Engineering)

Time: 3 hours Max. Marks: 70
Part ? A
(Compulsory Question)
*****
Part ? B
(Answer all five units, 05 X 10 = 50 Marks)

Answer the following:(10 X 02 = 20 Marks)
1 (a) What is passive element? Give examples for passive elements.
(b) Define and explain coefficient of coupling.
(c) Define the terms RMS value and form factor.
(d) If R
a
, R
b
, R
c
connected in star, write down the expressions for equivalent delta connection.
(e) Define the band width and Q-factor.
(f) Write short notes on Tieset and cutset.
(g) State the Milliman?s theorem.
(h) Define and explain two port networks.
(i) Define the time constant of RL and RC circuits.
(j) Write down any two applications of Fourier transforms.

2 (a) Derive an expression for total inductance of two coupled coils connected in:
(i) series aiding mode and
(ii) series opposing mode.
(b) Find the current through each element in the network as shown in figure given below using star delta
transformation.

OR
3 (a) Explain in detail about the active elements.
(b) In a coupled circuit L
2
= 4L
1
and coupling coefficient K = 0.6. When L
1
and L
2
are connected in series
opposing the equivalent inductance is 44.2 mH. Find L
1
, L
2
and M.

4 (a) Derive the expression for form factor a sinusoidal voltage wave excited by V = V
m
Sin .
(b) A sinusoidal current wave is given by I = 50sin100 . Determine:
(i) The greatest rate of change of current.
(ii) Average and rms values of current.
(iii) The time interval between a maximum value and the next zero value of current.
OR
5 (a) Show that two wattmeters are sufficient to measure power in a balanced or unbalanced three-phase
load connected to a balanced supply with neat circuit diagram.
(b) A balanced mesh connected load of (8+j6)? per phase is connected to a 3-phase, 50 Hz, 230 V
supply. Calculate:
(i) Line current.
(ii) Power factor.
(iii) Reactive volt-ampere.
(iv) Total volt-ampere.
Contd. in page 2
Page 1 of 2
R13
UNIT - I
UNIT - II

4 K ?
1 K ?
3 K ?
2 K ?
5 K ?
O
O
A
B

45 V

Code: 13A02101

******
Page 2 of 2

6 (a) What is duality? Write down the procedure to obtain dual network by taking any one example.
(b) A series RLC circuit shown in figure R = 60 ohms, L = 0.5 H and C = 40 is connected across an AC
variable frequency supply of 200 V. Calculate the resonant frequency and lower and upper half
frequencies.

OR
7 (a) Define and explain bandwidth, Q-factor, cutset, tieset and tree.
(b) A coil having an inductance of 50 mH and resistance 10 ? is connected in series with a 25
capacitor across 200 V AC supply. Calculate:
(i) Resonant frequency of the circuit.
(ii) Current flowing at resonance.
(iii) Quality factor.

8 (a) State and explain Thevinen?s theorem.
(b) Find the Z parameters for the resistance network shown in figure given below.

OR
9 (a) Derive the expressions for hybrid parameters in terms of admittance parameters.
(b) In the circuit shown in figure given below, find the value of adjustable resistor R for maximum power
transfer to R. Also calculate the maximum power.

10 (a) Derive the expression for exponential form of Fourier series. Mention the application of Fourier
transform.
(b) A series RLC circuit has R = 50 ?, L = 0.2 H and C = 50 constant voltage of 100 V is impressed
upon the circuit at t = 0. Find the expressions for the transient current assuming initially relaxed
conditions.
OR
11 (a) Explain the properties of Fourier transforms.
(b) A series RL circuit with R = 10 ?, L = 0.2 H has a constant voltage of a V = 50 V applied at t = 0. Find
the time response of the current.
UNIT-III
UNIT - IV
R13
UNIT - V

v
200 V
60 ?
0.5 H
40
I

O
O
O
O
2 ?
1 ? 2 ?
2 1
1
I

2
I

+
-
100 V
15 ? 20 ?
R
10 ?
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