GTU First Year Engineering (Semester 1)
Elements of Electrical Engineering
June 2014
Total marks: --
Total time: --
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

Objective Questions (MCQ)
1 (a) (i) Fiber optic cable is used for ________.
A) Point to point transmission
B) High power transmission
C) High voltage transmission
D) High current transmission
1 M
1 (a) (ii) A test lamp is used for _______.
A) Presence of voltage
B) Testing earthing
C) Measurement of resistance
D) Measurement of voltage
1 M
1 (a) (iii) ________ is not an electrical element.
a) Tester
b) Resistor
C) Inductor
D) Capacitor
1 M
1 (a) (iv) Approximate life of incandescent lamp is _______ hours.
B) 1000
C) 10000
D) 100000
1 M
1 (a) (v) Megger is used for ________ measurement.
A) Insulation resistance
B) low resistance
C) medium resistance
D) current
1 M
1 (a) (vi) 6. The process of connecting metallic body part of all electrical apparatus to earth is known as __________.
A) Piping
B) wiring
C) earthing
D) insulating.
1 M
1 (a) (vii) Mercury vapour lamp is a type of __________ lamp.
B) Resistance
C ) High intensity discharge
D) High current discharge
1 M
1 (b) (i) The value & unit of µ0 is__________
A) 4π × 10-7 H/m
B) 4π × 10-7 F/m
C) 8.845 × 10-12 F/m
D) 8.854 × 10-12 H/m
1 M
1 (b) (ii) _______law is used to find the direction of statically induced emf.
B) Faraday's law
C) Ohm's law
D) Coulomb's law
1 M
1 (b) (iii) Pure DC voltage has ______ frequency.
A) 50 Hz
B) 50 KHz
C) 5 Hz
D) 0 Hz
1 M
1 (b) (iv) Average instantaneous power is ______watts, when pure ac voltage is applied to pure inductive circuit.
B) Vicosθ
C) Visin θ
D) 0
1 M
1 (b) (v) The value of -j is ________
A) √-1
B) 270 degree
C) j2
D) 1
1 M
1 (b) (vi) An RLC series circuit is supplied by ac supply of 50 Hz, having R=10Ω, XL=10Ω and XC=100Ω. The power factor is ________.
B) 0
C) leading
D) lagging
1 M
1 (b) (vii) In RLC series circuit, at resonance condition _________ is maximum.
A) Current
B) Impedance
C) Resistance
D) Voltage
1 M

2 (a) State and explain Kirchhoff's laws
7 M
2 (b) Define Temperature co-efficient of resistance. Derive & obtain the expression a2=1/(1/a1+(t2-t1)) with usual notation.
7 M

3 (a) List out types of lamps and explain fluorescent lamp in detail
7 M
3 (b) Derive equation for energy stored in capacitor
7 M

4 (a) Explain how ac sinusoidal emf is generated? Derive its equation of e = EmSinωt.
7 M
4 (b) Explain Faradays law of electromagnetic induction.
7 M

5 (a) Prove that pure resistive circuit has unity power factor. Draw the wave forms of voltage, current and instantaneous power.
7 M
5 (b) An ac supply voltage of 230 volts, 50 Hz is given to the circuit containing 10Ω and 20Ω in series. Find equivalent resistance, total current, and voltage drop across each resistance, active power, reactive power, power factor
7 M

6 (a) Define co- efficient of coupling. Derive the relation between self and mutual inductance.
7 M
6 (b) A coil has 1000 turns and carries a current of 5 Amp. The core has a length of 0.5 m and cross - sectional area of 80 cm2, relative permeability is 1000. Calculate self inductance and self induced emf when current is switched off in 0.01 sec
7 M

7 (a) Define term 'earthing'. State all the methods of earthing and explain any one of them.
7 M
7 (b) Capacitors having capacitance of 10 µF, 20 µF and 30 µF are connected in series to a 400 V dc source. Find
1) total capacitance of circuit
2) total charge stored in the circuit3) total energy stored in the circuit.
7 M

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