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JNTU B.Tech II FUNDAMENTALS OF ELECTRICAL ENGINEERING Previous Question Paper (October - 2020 - R13)

B.Tech | II | II-I | R13 | October - 2020

Answer PaperPaper Code: 113AVMaximum Marks: 75Time: 2 hours

Answer any five questions. All questions carry equal marks.

Main

115 marks
a

For the bridge network shown in figure 1, find i.

9 marks

Answer

To find the current i in a bridge network, first identify the circuit configuration. If the bridge is balanced, the ratio of opposite arms is equal, and the current through the central branch is zero. If unbalanced, apply Kirchhoff's Laws or perform a Delta-to-Wye (Δ-Y) transformation to simplify the circuit into a series-parallel combination.

1. Identify nodes and loops: Assign currents to each branch and apply Kirchhoff's Current Law (KCL) at each junction.

2. Apply Kirchhoff's Voltage Law (KVL): Write loop equations for the independent meshes. For a bridge with resistances R1, R2, R3, R4 and a central resistance R5, the KVL equations are:

I1(R1 + R5 + R3) - I2(R5) = V
-I1(R5) + I2(R2 + R5 + R4) = 0

3. Solve for currents: Use Cramer's rule or substitution to solve the system of linear equations for the branch currents. The current i is the algebraic sum of the currents flowing through the specific branch of interest.

b

State and explain Faraday’s laws of electromagnetic induction.

6 marks

Answer

Faraday's laws describe the induction of electromotive force (EMF) in a conductor due to a changing magnetic field.

First Law: Whenever the magnetic flux linked with a circuit changes, an EMF is induced in it. This EMF lasts only as long as the change in flux continues.

Second Law: The magnitude of the induced EMF is directly proportional to the rate of change of magnetic flux linkages. Mathematically, this is expressed as:

e = -N(dΦ / dt)

Where e is the induced EMF, N is the number of turns in the coil, and dΦ/dt is the rate of change of magnetic flux. The negative sign, known as Lenz's Law, indicates that the induced EMF acts in a direction that opposes the change in flux that produced it.

215 marks
a

Using Δ-Y or Y-Δ conversion, find the current I in the circuit shown in figure 2.

8 marks

Answer

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b

Two coils connected in series-aiding fashion have a total inductance of 250 mH. When connected in a series-opposing configuration, the coils have a total inductance of 150 mH. If the inductance of one coil (L1) is three times the other, find L1, L2, and M. What is the coupling coefficient?

7 marks

Answer

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3

A circuit consisting of a resistor in series with a capacitor takes 100 watts at a power factor of 0.5 from a 100V, 60 Hz supply. Find (a) the current flowing, (b) the phase angle, (c) the resistance, (d) the impedance, (e) the capacitance.

15 marks

Answer

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4

For a load, Vrms = 110∠85°; I r.m.s = 0.4 ∠15° A. Determine: (a) the complex and apparent powers, (b) the real and reactive powers, and (c) the power factor and the load impedance.

15 marks

Answer

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515 marks
a

Using Millman’s theorem, find the current through and voltage across the resistor RL of Figure 3.

8 marks

Answer

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b

Apply superposition theorem to find v0 for the circuit shown in figure 4.

7 marks

Answer

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615 marks
a

Use Norton’s theorem to find V0 in the circuit shown in figure 5.

8 marks

Answer

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b

Find the Thévenin equivalent circuit for the network external to the resistor R for the network shown in figure 6.

7 marks

Answer

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715 marks
a

Explain the classification of DC generators based on the excitation and list the differences between them.

7 marks

Answer

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b

Explain the working principle of DC motor.

8 marks

Answer

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815 marks
a

Explain the working principle of Single phase induction motor.

7 marks

Answer

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b

Explain the procedure to conduct OC and SC tests on single phase transformer.

8 marks

Answer

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