Enroll. No. _____________

SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY

ADITYA SILVER OAK INSTITUTE OF TECHNOLOGY

BE - SEMESTER–3 • MID SEMESTER-I EXAMINATION – WINTER 2017

SUBJECT: Advanced Engineering Mathematics (2130002) (All Branches)

DATE: 08-08-2017 TIME:10:00 am to 11:45 pm TOTAL MARKS:40

Instructions: 1.Q. 1 is compulsory.

2. Figures to the right indicate full marks. 3. Assume suitable data if required.

Q.1 (a) Short Questions. [05]

(i) Find L{33 te }

(ii) Find the Convolution of 1*1

(iii) State the relationship between beta and gamma function.

(iv) Define Heaviside’s unit step function

(v) Define Fourier series for even & odd function

(b) Obtain the following function by Convolution Theorem

𝐿−1(1

(𝑠 − 2)(𝑠 + 2)2)

[05]

Q.2 (a) Solve the differential equation using Laplace Transform:

𝑦′′ − 2𝑦′ = 𝑒𝑡𝑠𝑖𝑛𝑡, 𝑦(0) = 𝑦′(0) = 0

[06]

(b) Obtain the Inverse Laplace transform of following function

𝐿−1 {𝑙𝑛 (1 +𝑤2

𝑠2 )}

[05]

(c) Solve the following function by Laplace Transform

𝑓(𝑡) = 𝑡2𝑠𝑖𝑛𝜋𝑡

[04]

OR

Q.2 (a) Solve the differential equation using Laplace Transform 𝑦" − 3𝑦′ + 2𝑦 = 12𝑒−2𝑡, 𝑦(0) = 2, 𝑦′(0) = 6

[06]

(b) Obtain the Inverse Laplace Transform of following functions

𝐿−1 {𝑠

(𝑠+1)(𝑠−1)2}

[05]

(c) Obtain the Laplace Transform (By Integral Property)

𝐿 (∫ 𝑒𝑢(𝑢 + 𝑠𝑖𝑛𝑢)𝑑𝑢𝑡

0

)

[04]

Q.3 (a) Find the Fourier series expansion for the 2π-periodic function

𝑓(𝑥) = 𝑥 − 𝑥2 in the interval – 𝜋 ≤ 𝑥 ≤ 𝜋 and show that

1

12−

1

22+

1

32−

1

42+ ⋯ =

𝜋2

12

[06]

(b) Obtain Fourier Series of f( x)= 𝜋 + x , -𝜋 < 𝑥 < 0

= 𝜋 − 𝑥, 0 < 𝑥 < 𝜋 [05]

(c) Find the Fourier cosine integral of f(x) = e-x x ≥0 [04]

OR

Q.3 (a) Obtain the Fourier series to represent the function

20,)(4

1)( 2 xxxf

[06]

(b) (i) Find the Fourier series of xxxf )( where ),( x

(ii)

[05]

(c) Express the function

x

x0

0

xsin)x(f as a Fourier sine integral

and evaluate

0

21

sinsin

d

x

.

[04]

BEST OF LUCK

Enroll. No. _____________

SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY

ADITYA SILVER OAK INSTITUTE OF TECHNOLOGY

BE - SEMESTER–III • MID SEMESTER-I EXAMINATION – WINTER 2017

SUBJECT: CIRCUITS AND NETWORKS (2130901) (EC/EE)

DATE: 03-08-2017 TIME: 10:00 am to 11:30 am TOTAL MARKS: 40

Instructions: 1. All the questions are compulsory.

2. Figures to the right indicate full marks. 3. Assume suitable data if required.

Q.1 (a) Define Following.

1) Potential difference

2) Independent and Dependent source

3) Node and Loop

4) Ideal source

5) Practical source

[05]

(b) Explain KVL and KCL. [05]

Q.2 (a) In Fig., Find V1 and V2 using KCL.

[06]

(b) Find current and voltage drop through 5 ohm resistor using KVL in network

shown in figure.

[05]

(c) Prove the maximum power transfer theorem for a practical voltage source (Vs,

Rs).

[04]

OR

Q.2 (a) Using source shifting and source transformation find out the voltage Vx in the

figure.

[06]

(b) Solve for the nodal voltages V1, V2, V3 and V4 as shown in the network in

Fig., using the nodal analysis. Resistance values are in Ohms

[05]

(c) Define and explain any four types of networks. [04]

Q.3 (a) Find current in 20 ohm resistance in the circuit shown in figure below using

superposition theorem.

[06]

(b) State Thevenin’s theorem. Explain with one example. [05]

(c) State Millman’s theorem. Obtain the equivalent of a parallel connection of

three branches each with a voltage source and a series resistance, (2V, 1 Ohm),

(3V, 2 Ohm) and (5V, 2 Ohm).

[04]

OR

Q.3 (a) Calculate current passing through 60Ω resistance in the circuit shown in figure

below using thevenin’s theorem.

[06]

(b) Obtain the value of Norton’s equivalent current and Norton’s equivalent

resistance for the network shown in the following figure.

[05]

(c) Explain any four rules of the source transformations. [04]

Enroll. No. _____________

SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY BE - SEMESTER–III • MID SEMESTER-I EXAMINATION – WINTER 2017

SUBJECT: DIGITAL ELECTRONICS (2131004) (CE/IT/EC) DATE: 11-08-2017 TIME: 10:00 am to 11:30 am TOTAL MARKS: 40

Instructions: 1. All the questions are compulsory. 2. Figures to the right indicate full marks. 3. Assume suitable data if required.

Q.1

(a) Perform Following Operations.

1. Hexa to binary – (2DB)16

2. Binary Multiplication – (1101)2 * (110)2

3. Convert (69)10 to its equivalent gray code and EX-3 code.

4. Given that (16)10 = (100)x, find the value of x.

5. Octal to binary – (367.52)8

[05]

(b) Explain all gates with respective truth tables. [05]

Q.2

(a) Explain full adder and design it using two half adder and one OR gate. [06]

(b) Reduce the following expression using K-MAP,

F = ∑m(1, 2, 4, 6, 7, 11, 15) + d(0, 3) [05]

(c) Minimize the following Boolean expressions. X = ( (A'B'C')' + (A'B)' )', Y = AB + ABC'

+ A'BC + A'BC'

[04]

OR

Q.2

(a) Using D as the VEM, reduce Y = A'B'CD + A'B'CD' + ABC'D' + ABCD' + ABCD +

AB'CD' + A'BCD + A'BC'D' + AB'C'D + ABC’D.

[06]

(b) Use a multiplexer having 3 data select inputs to implement the logic for the function given

below. Also realize the same using 16:1 MUX, F = ∑m(0,1,2,3,410,11,14,15). [05]

(c) Differentiate combinational and sequential circuits. [04]

Q.3

(a) Design and implement BCD to EX-3 code converter. [06]

(b) Design 3 × 8 decoder with necessary logic diagram. [05]

(c) State and prove De-Morgan’s Theorems for three variables with the help of Truth tables. [04]

OR

Q.3

(a) Design and explain 4-bit magnitude comparator. [06]

(b) Design and explain 4-bit binary parallel substractor. [05]

(c) Convert the decimal number 250.5 to base 3, base 4, base 7 and base 16. [04]

Enroll. No. _____________

SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY BE - SEMESTER–VII • MID SEMESTER-I EXAMINATION – WINTER 2017

SUBJECT: ELECTRONICS DEVICES & CIRCUITS (2131006) (EC) DATE: 09/08/2017 TIME: 10:00 am to 11:30 am TOTAL MARKS: 40

Instructions: 1. All the questions are compulsory. 2. Figures to the right indicate full marks. 3. Assume suitable data if required.

Q.1 (a) Answer the followings:

1) What is the theoretical rectification efficiency of a half wave rectifier?

2) Write the atomic numbers of Silicon and Germanium.

3) What is Peak Inverse Voltage (PIV) of a diode in full wave center tapped rectifier?

4) Draw the V-I characteristics of an ideal diode (first approximation).

5) Write the typical values of forward and reverse resistance of a diode.

[05]

(b) Explain the formation of p-type and n-type semiconductors with the help of neat diagram. [05]

Q.2 (a) Describe avalanche breakdown and zener breakdown mechanisms in a p-n junction diode. [06]

(b) Sketch the full wave center tapped rectifier circuit and explain its operation. [05]

(c) Draw V-I characteristics of P-N junction diode and define cut-in voltage of diode. [04]

OR

Q.2 (a) Describe the rectification and working of bridge rectifier circuit with neat circuit diagram. [06]

(b) Explain the application of zener diode as voltage regulator. [05]

(c) Differentiate conductors, semiconductors and insulators with the help of energy band diagram. [04]

Q.3 (a) Explain positive clipper and negative clipper circuits and also analyze them. [06]

(b) A diode having internal resistance of 20 Ω is used for half wave rectification. If the applied

voltage V = 50sin(ωt) and load resistance of 800 Ω. Find: (a) Im, Idc, Irms (b) DC output voltage

(c) Efficiency of Rectification.

[05]

(c) Explain the formation of barrier potential in an unbiased PN junction diode. [04]

OR

Q.3

(a) Design positive clamper and negative clamper circuits and analyze them. [06]

(b) A 5 KΩ load is fed from a bridge rectifier connected with a transformer secondary whose

primary is connected to 460V, 50 Hz supply. The ratio of number of primary to secondary

turns is 2:1. Calculate dc load current, dc load voltage, ripple voltage and PIV rating of diode.

[05]

(c) Explain operating principle of Light Emitting Diode (LED). [04]

Enroll. No. _____________

SILVER OAK COLLEGE OF ENGINEERING & TECHNOLOGY

ADITYA SILVER OAK INSTITUTE OF TECHNOLOGY

BE - SEMESTER–III • MID SEMESTER-I EXAMINATION – WINTER 2017

SUBJECT: ENGINEERING ECONOMICS AND MANAGEMENT (2130004)

(CE/IT/EC/EE)

DATE: 04/08/2017 TIME: 10:00 am to 11:30 am TOTAL MARKS:40

Instructions: 1. All the questions are compulsory.

2. Figures to the right indicate full marks. 3. Assume suitable data if required.

Q.1 (a) 1. National Income is _______________ concept.

2. Define Economics.

3. Rent is an example of ____________ cost.

4. ________________ is the father of Scientific Management.

5. The market with a single seller is known as _____________ market.

[05]

(b) Differentiate between Management and Administration. [05]

Q.2 (a) Define Demand. Explain law of demand with the help of a diagram. [06]

(b) Discuss the levels of management. [05]

(c) Explain the factors of production. [04]

OR

Q.2 (a) Write a detailed note on Break Even Analysis with its assumptions. [06]

(b) Explain the following income concepts:

1. GDP

2. GNP

3. Per capita income

[05]

(c) Explain the equilibrium between demand and supply. [04]

Q.3 (a) Explain Maslow’s need Hierarchy theory in detail with diagram. [06]

(b) Give the differences between microeconomics and macroeconomics. [05]

(c) Explain various cost concepts. [04]

OR

Q.3 (a) Discuss the 10 managerial roles given by Henry Mintzberg. [06]

(b) State the difference between Perfect Competition and Monopolistic

Competition.

[05]

(c) What is elasticity of demand? Explain its types. [04]

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