EE Diagnostic Exam on Alternators
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Questions and Answers

What is the full load copper loss of a 10 kVA, 2400/240 V transformer with a primary winding resistance of 6 Ω and a secondary resistance of 0.06 Ω?

  • 201 W (correct)
  • 105 W
  • 176 W
  • 208 W
  • What is the operating speed in rpm required for a 6-pole generator to develop an emf of 120 V, if it develops 100 V at 1500 rpm?

  • 1800 rpm (correct)
  • 1250 rpm
  • 1500 rpm
  • 1042 rpm
  • For a conductor with an area of 40,000 cm², what is the diameter in inches?

  • 0.50 (correct)
  • 0.20
  • 0.60
  • 0.40
  • What resistance should be connected in series with 4 uF capacitance to achieve a time constant of 2 s?

    <p>200 kΩ</p> Signup and view all the answers

    What is the equivalent capacitance of two identical capacitors, each with capacitance C, connected in parallel and the combination in series with a third identical capacitor?

    <p>2C/3</p> Signup and view all the answers

    What is the power that a 220 V, 75 W bulb will draw when connected to a 110 V source?

    <p>9.375 W</p> Signup and view all the answers

    What is the inductance of a cylindrical core that is 50 cm long, has a cross section of 5 cm2, and is wound with 500 turns of wire with a permeability of 2000?

    <p>0.628 H</p> Signup and view all the answers

    What is the upper cut-off frequency of a series LC circuit with an inductance of 200 uH and a capacitance of 300 pF, given a Q of 60?

    <p>655 kHz</p> Signup and view all the answers

    If the ratio of the two wattmeter readings in a balanced 3-phase system is 2:1, what is the power factor of the system?

    <p>0.8</p> Signup and view all the answers

    Given that a nichrome wire is 1 m long with a 1 x 10-6 m2 cross-sectional area and carries a current of 4 A under 2 V, what is the resistivity of the nichrome wire?

    <p>4 x 10-7 Ω-m</p> Signup and view all the answers

    Study Notes

    Electrical Concepts & Calculations

    • A 3-phase alternator rated 50 MVA, 22 kV has a synchronous reactance of 5 pu. When translated to a base of 100 MVA and 220 kV, its pu value needs calculation.
    • A bulb rated 220 V, 75 W connected to a 110 V source will draw a specific power calculated using the formula ( P = \frac{V^2}{R} ).
    • Inductance of a cylindrical core can be calculated using parameters such as length, cross-sectional area, number of turns, and core permeability.
    • For a series LC circuit with a defined Q factor, the upper cut-off frequency can be determined based on inductance and capacitance values.

    Power & Efficiency in Electrical Systems

    • In a balanced 3-phase system, the ratio of two wattmeter readings can indicate the power factor for various loading conditions.
    • The performance of transformers can be evaluated through equivalent resistance, reactance, and voltage regulation, considering load characteristics.
    • The copper loss and core loss in transformers can indicate the loading efficiency and can be analyzed to find max efficiency conditions.

    Capacitors and Reactance

    • The voltage across capacitors connected in series can be calculated by evaluating their individual capacitances and the applied voltage.
    • Reactance in RLC circuits affects power consumption, which can be assessed from known impedance and voltage supply.

    Motor Operations

    • The operational speed of induction motors in relation to synchronous speed accounting for slip can be calculated using generator frequency.
    • The addition of synchronous motors affects the power factor of existing loads, necessitating a specific calculation to achieve the desired improvement.

    Energy Storage & Inductance

    • Energy stored in an inductor is linked to its current through ( E = \frac{1}{2}Li^2 ) and can be influenced by time constants in circuits.
    • Calculating self-inductance in coupled coils involves understanding series aiding and opposing configurations.

    Electromagnetic Theory

    • The magnetic field generated around current-carrying conductors can be determined at specific distances, aiding in electromagnetic field calculations.
    • The concept of charge and electric potential forms a basis for understanding electric fields from point charges.

    Current and Resistance Calculations

    • Series resistive circuits with combined resistor loads can determine the resulting current flow under various configurations.
    • Electric heat generation and energy conversion rates can be measured from circuit parameters and resistor values.

    General Electrical Principles

    • The relationship between power, current, and voltage forms critical calculations in both DC and AC circuits.
    • Understanding capacitive and inductive reactances and their impact on overall circuit performance is vital in electrical engineering applications.

    Transformer and Voltage Regulation

    • Transformers' behavior under various loads can dictate efficiency and performance, particularly focusing on voltage drops and regulation percentages.
    • Both energy and power factor optimizations are crucial for maximizing system performance in power distribution networks.

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    Description

    This quiz tests your knowledge on three-phase alternators, including their MVA ratings, synchronous reactance, and conversion of per unit values. Select the correct answer for each multiple-choice question related to electrical engineering concepts and calculations. Perfect for students preparing for exams in electrical engineering.

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