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EX-603 (A) · Utilization of Electrical Engineering/Unsolved PYQ Paper

EX-603-A Utilization of Electrical Engineering - Jun 2025 Question Paper

Under each question, How to answer lists the points an answer should cover, outlined by CampusPrep from the syllabus. Check the details against your textbook.

  1. 7 Marks
    aState inverse square law and Lamberts cosine law of illumination?
    How to answer
    • State inverse square law: E = I / d^2
    • State Lambert's cosine law: E = (I cos theta) / d^2
    • Explain terms I, d, theta
    • Mention application to illumination calculations
  2. 7 Marks
    bIllumination on the working plane of 100 Lux is required in a room $60\,m \times 15\,m$ in size. The lamps are required to be hung $4\,m$ over the workbench. Assuming a suitable space height ratio, a utilization factor of $0.5$ lumens per watt and a candle power deposition of $20\%$ estimate the number rating and deposition of lamps.
    How to answer
    • Calculate area = 60 m x 15 m and required lumens = 100 lux
    • Apply utilization factor 0.5 and depreciation/maintenance factor
    • Estimate total lumens and number of lamps
    • Estimate rating/wattage and disposition using space-height ratio
  3. 7 Marks
    aTwo lamps are $20\,m$ apart and are fitted with a $50\,CP$ lamp each at a height of $5\,m$ above ground. Calculate the illumination on the ground
    1. i)Under each lamp
    2. ii)Midway between the lamps
    How to answer
    • Calculate illumination under lamp using E = I/h^2 plus contribution from other lamp
    • Calculate distance and angle for midway point
    • Apply cosine law E = I cos^3 theta / h^2 for each lamp
    • Sum contributions for i) and ii)
  4. 7 Marks
    bExplain different methods of energy efficient lighting.
    How to answer
    • Define energy efficient lighting concept
    • Describe methods: LED, CFL, controls, daylighting
    • Mention ballasts, occupancy sensors and dimming
    • State energy saving benefits
  5. 7 Marks
    aWrite down the classification of welding methods based on processes.
    How to answer
    • Define welding classification criteria
    • List pressure, fusion, electric resistance, arc, etc.
    • Draw classification chart
    • Give example of each process
  6. 7 Marks
    bName the different types of heating methods and describe in detail any one of them.
    How to answer
    • List heating methods: resistance, induction, dielectric, arc, etc.
    • Select one method for detailed description
    • Explain principle, construction and operation
    • Mention applications
  7. 7 Marks
    aWrite the advantages of electrical heating. An electric toaster consists of two resistance elements each of $100\,ohms$ calculate the power drawn from $250\,volts$ AC single phase supply when the elements are connected in parallel and second series.
    How to answer
    • List advantages: cleanliness, efficiency, control, safety
    • Calculate equivalent resistance for parallel: 50 ohm and series: 200 ohm
    • Calculate power P = V^2/R for both connections
    • Compare power drawn in two cases
  8. 7 Marks
    bA piece of metal having $50\,grams$ in which a golden layer is to be done if the $3\text{-Ampere}$ current is flowing and electrochemical equivalent $0.065$ then in $30\,minutes$ how much weight of gold should be deposited.
    How to answer
    • State Faraday's law: m = Z I t
    • Substitute I=3 A, t=30 min, Z=0.065
    • Calculate weight of gold deposited
    • Mention result in grams
  9. 7 Marks
    aDerive the equation for maximum speed by trapezoidal speed time curve.
    How to answer
    • Define trapezoidal speed-time curve parameters alpha, beta, Vm
    • Write distance area relation D = Vm*T - ...
    • Derive expression for Vm in terms of D, alpha, beta
    • State final equation for maximum speed
  10. 7 Marks
    bAn electric train has an average speed for $42\,km$ per hour on a level track between the stops $1,400\,m$ apart. It is accelerated at $1.7\,km$ per hour per second and it is braked at $3.3\,km$ per hour per second. Draw the speed time curve for the run and calculate all the parameters.
    How to answer
    • Draw trapezoidal speed-time curve with acceleration and braking slopes
    • Calculate acceleration, braking, running time from average speed
    • Determine Vm, t1, t2, t3
    • List all parameters of the run
  11. 7 Marks
    aName different types of electrical braking and explain any one method in detail.
    How to answer
    • List types: plugging, rheostatic, regenerative braking
    • Select one method for detail
    • Explain circuit, operation and energy flow
    • Mention applications and limitations
  12. 7 Marks
    bExplain why the DC series motor is suitable for electric traction.
    How to answer
    • State requirements of traction: high starting torque, speed control
    • Explain DC series motor torque-speed characteristics
    • Relate series field to load adaptation
    • Conclude suitability for traction
  13. 7 Marks
    aExplain electric vehicle and its components.
    How to answer
    • Define electric vehicle concept
    • List components: battery, motor, controller, charger
    • Explain function of each component
    • Mention block diagram
  14. 7 Marks
    bWhat are the characteristics of a good traction system? Justify which motor is suitable for traction system.
    How to answer
    • List characteristics: high torque, overload capacity, efficiency
    • Explain requirement of adhesion, speed control
    • Justify suitable motor type for traction
    • Conclude with DC series / induction motor choice
  15. 14 Marks
    Write a short notes (any two)
    1. a)Load equalization
    2. b)Laws of electrolysis
    3. c)Welding transformers
    4. d)Hybrid vehicles
    How to answer
    • Select any two topics from four options
    • Define each with principle and formula/diagram
    • Mention applications
    • Conclude with significance
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