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1 PURWANCHAL UNIVERSITY II SEMESTER FINAL EXAMINATION-2008 LEVEL : B. E. (Computer/Electronics & Comm.) SUBJECT: BEG123EL, Electrical Engineering-I Full Marks: 80 TIME: 03:00 hrs Pass marks: 32 Candidates are required to give their answers in their own words as far as practicable. All question carry equal marks mark. The marks allotted for each subquestion is specified along its side. Answer FIVE questions. Q. [1] [a] Two conductors, one of copper and the other of iron, are connected in parallel and carry equal currents at 25 0 C. What proportion of current will pass through each if the temperature is raised to C? The temperature coefficients of resistance at 0 0 C are / 0 C and / 0 C for copper and iron respectively. [6] [b] Find the voltage drop across 1 Ω resistor and power loss across 2 Ω resistor in Fig 1 (b). [7] 20v 1Ω V 1 r r g Β v g αv g Fig. 2[a] [b] Using Nodal method find the current through the resistors in the circuit configuration of Fig 2(b). [7] 5A 3Ω 6A Fig. 2[b] [c] Define the dependent and Independent sources. [3] Q. [3] [a] State Thevenin s theorem. Write the steps for solving a network using Thevenin s theorem. [24] [b] What is the current in the 5 Ω resistor across a-b terminals of the network shown in Fig. 3(b)? Use Norton s theorem. [5] 2A 1Ω 4A r d 2v a VL r L Fig. 1[b] [c] State reciprocity theorem. [3] Q. [2] [a] Fig 2(a) represents an appropriate equivalent circuit of a field effect transistor amplifier. Using KCL find the output voltage V 2 interms of input voltage V 1. [6] Fig. 3[b] [c] Find the powerloss in 5 Ω resistor by superposition theorem in Fig 3(c). [5] v 1 1Ω 2A 4v 1 b Downloaded from / 1
2 Fig. 3[c] Q. [4] [a] Define Form factor and Crest factor. A sinusoidal alternating voltage of 1 is applied across moving coil ammeter, a hot-wire ammeter and half-ware rectifier, all connected in series. The rectifier offers a resistance of 25 Ω in one direction and infinite resistance in opposite direction. Calculate: (i) the readings on the ammeters, (ii) the form factor and peak factor of the current wave. [25] [b] Discuss briefly the phenomenon of electrical resistance in series RLC circuits. Obtain the values of R, L, C in a series RLC circuit that resonates at 1.5 KHz and consumes 50W from a 50V a.c source operating at the resonance frequency. The bandwidth is 0.75 KHz. [36] Q. [5] [a] In a series-parallel circuit of Fig. 5(a), the parallel branches A and B are in series with C. The impedances are: z A = (43j); z B = (4-j16/3); z c = (2j8) ohm. If the current I c = (25j0), draw the complete phasor diagram determining the branch currents and voltages and the total voltage. Hence calculate the complex power ( the active and reactive powers) for each branch and the whole circuit. [7] Ic Z c IA IB V Fig. 5[a] [b] What do you understand by the term phase sequence in the three phase circuit? [4] [c] A three phase 400V, 50Hz, 25HP motor is delta connected and is operating at 0.85 lag and efficiency of 80%. What is the line current? [5] Q. [6] [a] A balance delta connected load contains (4j2) Ω /phase, while a balanced Y connected loads consists of (1-j2) Ω /phase. Both loads are connected in ZA ZB Downloaded from / 2 parallel to a three phase three wire system having line voltage of 220V. The supply has a resistance of 0.1 Ω /phase. Find the total power delivered to the individual loads and the loss of power in the lines. [8] [b] Write short notes on any TWO: [44] (i) relation between line currents and phase currents in delta connected 3-φ load. (ii) Q-factor of a parallel circuit. (iii) Power factor improvement.
3 PURWANCHAL UNIVERSITY II SEMESTER CHANCE EXAMINATION-2009 LEVEL : B. E. (Computer/Electronics & Comm.) SUBJECT: BEG123EL, Electrical Engineering-I Full Marks: 80 TIME: 03:00 hrs Pass marks: 32 Candidates are required to give their answers in their own words as far as practicable. All question carry equal marks mark. The marks allotted for each subquestion is specified along its side. Answer FIVE questions. Q. [3] [a] State Super Position theorem. Use it to find the current through branch of 20 Ω resistor. [28] 17Ω 1 10A Fig. 3[a] [b] By using nodal analysis, determine voltage and current for each branch resistors. [6] Q. [1] [a] State Ohm s law with its application and limitation. What do understand by temperate coefficient of resistance? [42] [b] Derive the relation for star/delta transformation. Assume suitable symbols. [10] Q. [2] [a] State the relation of equivalent resistance in series and parallel combination. Find the equivalent resistance of Fig. 2 (a). [6] 1 1 Fig. 2[a] [b] Using mesh analysis, find the current through each element of Fig 2(b). [10] 8Ω Fig. 3[b] Q. [4] [a] Explain the phenomenon of generation of sinusoidal alternating EMF. [4] [b] Compute the equivalent admittance of given Fig. 4(b). [4] 120V/50Hz/0 Deg 20mΗ 1 5v 20µF 10mΗ Fig. 4[b] [c] Find the Norton s Equivalent circuit across resistance 1 k Ω. [8] 1ΚΩ 1 4A 20v 1 5v 1 2A Fig. 4[c] Q. [5] [a] What do you mean by resonance. Find the ratio of resonance frequency fore series R-L-C network. [24] Fig. 2[b] Downloaded from / 3
4 [b] A star connected alternating supplies a delta connected load. The supply voltage is 3-φ, 50Hz and 230V. [10] Determine: (i) Line current and voltage. (ii) Determine phase current and voltage. (iii) Total power consumed by load. (iv) Active and reactive power. (v) Phasor diagram. Q. [6] [a] Show how two wattmeter methods could measure three phase power. [4] [b] Determine the relation of line current and phase current in -connected 3-ϕ system. [4] [c] Determine I 1 and I 2 of given network. [8] 50mΗ 100µF 100V/50Hz/0 Deg I1 100mΗ Fig. 4[c] I 2 20ΚΩ Downloaded from / 4
5 PURWANCHAL UNIVERSITY II SEMESTER BACK-PAPER EXAMINATION-2006 LEVEL : B. E. (Computer/Electronics & Comm.) SUBJECT: BEG123EL, Electrical Engineering-I Full Marks: 80 TIME: 03:00 hrs Pass marks: 32 Candidates are required to give their answers in their own words as far as practicable. All question carry equal marks mark. The marks allotted for each subquestion is specified along its side. Attempt any FIVE questions. Q. [1] [a] Explain what do you understand by temperature coefficient of resistance. What is its unit? [3] [b] Two resistances A and B are connected in series. At 0 0 C the resistance of B is Four times that of A, and the temperature coefficient of A is C -1 and that of the combination is C -1. What is the temperature coefficient of the resistance of B at 0 0 C? [4] [c] Find the Thevenin s Equivalent circuit across the Resistance R L. What is the value of R L, which will draw 90% of the maximum power transformable to the load? [53] 1 10V 1 R L [b] Find the equivalent resistance between the terminals a and b of the circuit in figure. [5] a 8Ω 18Ω 18Ω Fig. 1[b] [c] Using Mesh analysis, find the current through each element in the circuit shown. [8] 8Ω 1 1 9Ω b 10V Fig. 2[c] Q. [3] [a] State Kirchoff s voltage and current law. [3] [b] Find the current through the resistor R L = 10 Ω using Nodal Analysis. [5] 10V 1A R L= Ω Fig. 3[b] 2A 5V [c] Find the current through each branch of the network using super position theorem. [8] 20v Fig. 1[c] Q. [2] [a] Derive the expression for converting a delta connected resistors into a wye-connected resistors. [4] 5v 10V 1 10A Fig. 3[c] Downloaded from / 5
6 Q. [4] [a] State the Faraday s Law of Electromagnetic Induction. [4] [b] A parallel circuit consists of a coil of resistance 10 Ω and inductance of 0.1 mh connected in parallel to a condenser of 100pF. Find the resonant frequency, Q- factor, BW of the circuit at resonance. [5] [c] Two impedances z 1 and z 2 are connected in series to a sinusoidal alternating emf e(t) = 100sin(314t). The impedance z 1 consists of a coil of resistance 10 Ω and inductance 3H, and z 2 consists of a series combination of a capacitor of 10 uf and R =100.Find (i) Total current drawn form the soruce. (ii) Power factor. (iii) Reactive power. (iv) Apparent power. (v) Draw the power triangle. Q. [5] [a] What do you mean by electrical resonance? Derive the expression for resonance in series R-C-L circuit. [13] [b] Compute the equivalent admittance and impedance of the circuit shown. [4] i(t) (iii) Impedance per phase. (iv) Resistance and reactance per phase (v) Total active power drawn. (vi) Draw the complete phasor diagram. Q. [6] [a] Explain the principle of generation of 3-phase alternating voltage. [5] [b] A star connected balanced load is supplied by a 3- phase, 4-wire alternating voltage. If the current flowing through the load is 5A in each phase, find the current through the neutral wire. [3] [c] What is the significance of power factor in alternating systems? [3] [d] Two impedances given by z 1 = (1215j) Ω and z 2 = (8-4j) Ω are connected in parallel. If the current through the impedance z 2 = is ( )A, find, (i) Current through z 1. (ii) Total current. (iii) Potential difference and across the impedances. (iv) Total power consumed. (v) Power factor of the system. -j V(t) j -j1 j j1 Fig. 5[b] [c] A balanced three phase delta connected laod consues a power of 12kw when connected a 3 phase supply of 400V, 50Hz. If the load draws the current at a p.f of 0.8 lagging, find. [8] (i) Phase current. (ii) line current. Downloaded from / 6
7 PURWANCHAL UNIVERSITY II SEMESTER FINAL EXAMINATION-2004 LEVEL : B. E. (Computer/Electronics & Comm.) SUBJECT: BEG123EL, Electrical Engineering-I Full Marks: 80 TIME: 03:00 hrs Pass marks: 32 Candidates are required to give their answers in their own words as far as practicable. All question carry equal marks mark. The marks allotted for each subquestion is specified along its side. Attempt any FIVE questions. Q. [1] [a] What are the characteristics of current and voltage sources? [4] [b] The resistance of a conductor is 5 Ω. Find the resistance of a conductor of same material having twice the diameter and four times the length of conductor. [4] [c] A bridge network ABCD is arranged as follows in the given circuit. Determine the current in each resistor by using KVL. [8] A B 40Ω C 1 Fig. 1[c] Q. [2] [a] Find the loop currents in each loop in the circuit given below by applying Maxwell loop current method. [8] D 100V 50V Fig. 2[a] [b] Obtain Thevenin s equivalent circuit with respect to the terminals Aand B of the network given. [8] 6V 18V Fig. 2[b] Q. [3] [a] Find the current through 4 Ω resistance by using Superposition Theorem of the circuit below. [8] 6V 10V 4v Fig. 3[a] [b] Two circuits A and B are connected in parallel to a 200V supply. Circuit A consists of a resistance of 10 Ω. Circuit B consists of a resistance of 20 Ω in series with a capacitive reactance of 10 Ω. Find the current taken by each circuit and the total current. Find also the power factor of the circuit. [8] Q. [4] [a] What are the conditions in series resonance R-L circuit. Also derive the resonant frequency and quality factor. [8] 3Ω 8v 6v A B Downloaded from / 7
8 [b] A resistance of 15 Ω, inductance of 4H and capacitance of 25 µ Farad are connected in series across 230 volts supply. Calculate: [i] The frequency at which the current will be maximum. [ii] The current at this frequency. [iii] The potential difference across the inductance. Q. [5] [a] Three similar coils, each having a resistance of 20 Ω and an inductance of 0.05H are connected in [i] star [ii] mesh to a 3-phase, 50 Hz supply with 400V between lines. Calculate the total power absorbed and the line current in each case. Also draw the vector diagram of current and voltage in each case. [8] [b] A resistance of 20 Ω, inductance of 0.2H and capacitance of 150 µ Farad are connected in series are fed by a 230V, 50Hz supply. Find X L, X C, Z and Y, P.f, active power and reactive power. [8] Q. [6] Write Short notes on (any FOUR): [4 4=16] [a] Kickoff s Voltage Law (KVL) [b] Generation of Three Phase Voltage (emf). [c] RMS Value in ac Circuit. [d] Faraday s Law of Electromagnetic Induction. Downloaded from / 8
9 PURWANCHAL UNIVERSITY II SEMESTER BACK-PAPER EXAMINATION-2004 LEVEL : B. E. (Computer/Electronics & Comm.) SUBJECT: BEG123EL, Electrical Engineering-I Full Marks: 80 TIME: 03:00 hrs Pass marks: 32 Candidates are required to give their answers in their own words as far as practicable. All question carry equal marks mark. The marks allotted for each subquestion is specified along its side. Attempt any FIVE questions. Q. [1] [a] Define inductance of a coil 1 km of wire having diameter of 11.7mm and of resistance of Ω is drawn so that its diameter reduces to 5mm. What will be its new value of resistance? [14] [b] At 30 0 C two coils C 1 and C 2 connected in series have respectively resistance of 800 Ω and 400 Ω and temperate coefficients of resistance of C 1 and C 2 are and 0.004/ 0 C respectively. Find [i] the resistance of the combination at 60 0 C and [ii] the effective temperature coefficient of resistance of the combination. [6] [c] State superposition theorem and prove it with an example. [5] Q. [2] [a] Determine the current in 5 Ω resistor using loop current method. [8] 1Ω 50V 3Ω 3Α Fig. 2[a] Downloaded from / 9 [b] Find the current through the 3 Ω resistance connected between A and B in the following network using Norton s theorem. [8] 9V 3Ω 1. Α 3Ω 3Ω 4.5V Β Fig. 2[b] Q. [3] [a] Find the voltage V in the following circuit using nodal analysis which makes V A = V B. [8] V 3Ω V A V B 7Ω V Fig. 3[a] [b] Derive the equation for instantaneous current flowing through pure capacitor and show analytically and graphically that it does not consume power when it is excited by ac sinusoidal voltage. Draw waveforms of voltage and current and phasor diagram of the circuit. [8] Q. [4] [a] A coil having a resistance of 10 Ω and an inductance of 0.2 Ω and an inductance of 0.2H is connected in series with a capacitor of 50.7 µ F. The circuit is connected across a 100V, 50Hz ac supply. Calculate (i) the current flowing in the circuit (ii) the voltage across the capacitor (iii) the voltage across the coil. Also draw the phasor diagram. [8] [b] A coil takes a current of 4A when 24V dc is applied and for the same power on a 50Hz ac supply the applied voltage is 40V. Explain the reason for the difference in the applied voltage. Determine: [8] [i] Resistance of the coil.
10 [ii] inductance of the coil. [iii]angle between the applied voltage and current [iv] power. Q. [5] [a] Calculate the magnitude and phase angle of the currents I 1, I 2, and I in the following parallel ac circuit. [8] I 220V 50Hz I 1 I 2 100mH 100uF Fig. 5[a] [b] A 3ϕ, 5KW induction motor has a power factor of 0.7 lagging. Find the KVAR rating of this capacitor per phase that will be required to improve the power factor to unity. [8] Q. [6] [a] Define balanced system and balanced load. Show that if a balanced star connected 3-φ load is supplied with three phase four wire balanced system, the current in the neutral conductor will be zero. [8] [b] Three phase balanced det5lqa connected laod of (4j8) Ω per phase is connected across a 380V, 3-φ balanced supply. Determine the phase currents and line current. Also calculate the active, reactive and apparent power of the load. Draw phasor diagram showing phase quantities. Downloaded from / 10
11 PURWANCHAL UNIVERSITY II SEMESTER FINAL EXAMINATION-2003 LEVEL : B. E. (Computer/Electronics & Comm.) SUBJECT: BEG123EL, Electrical Engineering-I Full Marks: 80 TIME: 03:00 hrs Pass marks: 32 Candidates are required to give their answers in their own words as far as practicable. All question carry equal marks mark. The marks allotted for each subquestion is specified along its side. Attempt any FIVE questions. Q. [1] [a] Define ideal voltage source and ideal current source. [2] [b] Find the current through 2 Ω resistances using appropriate method. [8] 12V 8V 3Ω 1Ω 1Ω 20V Fig. 1[b] [c] Find the power dissipated in 10 Ω resistance using Thevenin s theorem. [6] 8Ω 24V Fig. 1[c] Q. [2] [a] Using superposition theorem find the current through 5 Ω resistor. [8] Downloaded from / 11 12V 3Ω 10Α Fig. 2[a] [b] Use nodal method to solve the network shown in Fig 2[b]. [8] 12V Fig. 2[b] Q. [3] [a] Explain resonance in series R-L-C circuit with resonance curve. Also derive the expression for half power frequencies. [8] [b] Two circuits having the same numerical ohmic impedance are joined in parallel. The power factor of one circuit is 0.8 (lag) and that of the other is 0.6 (lag). What is the power factor of the combination? [8] Q. [4] [a] A coil of power factor 0.6 is placed in series with 60 µ F capacitor. When connected to a 50-Hz supply the potential difference across coil is equal to that across capacitor. Find resistance and inductance of the coil. [b] Two impedance z 1 = (8j6) Ω and z 2 = (6-j8) Ω are connected in parallel. A 100V, 50Hz source is connected to the parallel combination. Determine the following: [8] [i] magnitude and phase of branches currents. [ii] power factor of individual branch. [iii] Magnitude and phase of total current. [iv] Overall power factor and real power consumed. [v] Draw the complete phasor diagram showing branch currents. [c] What are the disadvantages of low power-factor in electrical network. [2] 8Ω 5Α
12 Q. [5] [a] A balanced delta connected load consisting of three coils draws 17.32A at p.f 0.5(lag) form 380V, 3φ 50 Hz supply. If the coils are reconnected in star across the same supply, find the line current and total power consumed. [6] [b] A three phase balanced star connected load of (4j8) per phase is connected across a 4 KV, 3-φ, 50Hz balanced supply. Determine the phase current and line current. Also calculate the active, reactive and apparent power of the load. Draw the phasor diagram showing phase voltage and phase currents. [6] [c] Show that a balanced star connected load having an impedance of z φ in each phase can be replaced by an equivalent delta-connected load having an impedance of 3z φ in each phase. [4] Q. [6] [a] Three inductive loads of 1KW, 2KW and 3KW at power factors of 0.8, 0.7 and 0.6 respectively are conneted in parallel across a 220V, 50Hz supply. Calculate [i] total current taken by the loads and its phase angle, [ii] value of capacitance to be connected in parallel with the three loads to bring the resultant power factor of 0.95 lagging. [8] [b] Write short notes on (any TWO): [44] [i] Rms and average value of ac emf. [ii] kirchoff s laws. [iii] Relation between phase voltage and line voltage in star connected 3-φ load. Downloaded from / 12
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