Electricity Paper 1 Questions and Answers - KCSE 2021 Past Papers

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SECTION A (48 marks)

Answer all questions in this section in the spaces provided.

  1.  
    1. List two power authorities that are involved in electrical energy in Kenya. (2 marks)
    2. State two IEEE regulations regarding ring final circuit. (2 marks)
  2.  
    1. State Ohm's law.  (1 mark)
    2. Figure 1 shows three lamps A, B and C having resistances of 14002, 9602 and 570 respectively connected to a 240 V supply by a cable of resistance 2Ω.
      Ele2021pastpaperQ21
      Determine the total:
      1. Circuit resistance (3 marks)
      2. Circuit current (2 marks)
  3.  
    1. State two ways of magnetising a ferromagnetic material. (2 marks)
    2. List two applications of permanent magnets.  (1 mark)
  4.  
    1. In a domestic house, the lights in the bedroom go off while there is still power in the main switch. Outline two possible causes of this anomaly. (2 marks)
    2. Digital meters are used in electrical installations. List two advantages and one disadvantage of these meters over analogue meters.
      1. Advantages (2 marks)
      2. Disadvantage (1 mark)
  5.  
    1. Explain the meaning of the term first aid.  (2 marks)
    2. A businessman sets up an electrical enterprise which performs very well. Outline three qualities that the businessman may have as an entrepreneur.  (3 marks)
  6.  
    1. Figure 2 shows a toroid-type transformer.
      Ele2021pastpaperQ22
      Name the parts labelled A, B and C.  (3 marks)
    2. A 500 V d.c. motor takes an armature current of 50A. If the armature resistance is 0.50 determine the back emf. (3 marks)
  7. Sketch the correct electrical installation symbols for each of the following:
    1. Intermediate switch (1 mark)
    2. Switched socket outlet (1 mark)
    3. Twin fluorescent lamp  (1 mark)
  8. Figure 3 shows a capacitive circuit.
    Ele2021pastpaperQ23
    Determine the total:
    1. Capacitance  (3 marks)
    2. Charge (2 marks)
  9. Figure 4 shows a transistor in a common-base configuration. The voltage drop across the 2KQ resistor is 3V and a = 0.95
    Ele2021pastpaperQ24
    Find the:
    1. emitter current  (2 marks)
    2. base current (2 marks)
  10.  
    1. Outline two important items contained in a new installation certificate before Kenya Power and Lighting Company supplies power.  (2 marks)
    2. Sketch schematic symbols for each of the following:   (4 marks)
      1. Zener diode
      2. Variable inductor
      3. Electrolytic capacitor
      4. Variable resistor

SECTION B (52 marks)

Answer any four questions from this section in the spaces provided.

  1.  
    1. Convert:
      1. 8410 to binary
      2. 11110112 decimal
    2. Outline two advantages and two disadvantages of a cartridge fuse.
      1. Advantages
      2. Disadvantages
    3. Figure 5 shows a transistor circuit.
      Ele2021pastpaperQ27
      1. Determine the value of Ic at saturation. (2 marks)
      2. Sketch the d.c. load line on the axes below. (3 marks)
        Ele2021pastpaperQ26
  2.  
    1. State four factors to consider when choosing a wiring system. (2 marks)
    2. Figure 6 shows an R-L circuit.
      Ele2021pastpaperQ27
      Determine the:
      1. Reactance (2 marks)
      2. Impedance (2 marks)
      3. Current (2 marks)
    3. Draw and label the construction of a moving coil instrument.  (5 marks)
  3.  
    1. Outline two applications of an auto transformer. (2 marks)
    2. An ideal single phase auto transformer has voltage ratio 320 V: 250V and supplies a load of 30 KVA at 250 V.
      Determine the current in the:
      1. Primary coil (2 marks)
      2. Secondary coil (2 marks)
      3. Common part of the winding  (1 mark)
    3. Figure 7 shows a diagram of a d.c. machine.
      Ele2021pastpaperQ28
      1. Name the parts labelled A to D. (4 marks)
      2. Explain the function of part C. (2 marks)
  4.  
    1. Define the following terms in relation to a.c. resistive circuits:
      1. Instantaneous power (2 marks)
      2. Average power    (1 mark)
    2. An a.c. source is supplying power to a pure resistive load of 82. The peak value of current is 3A and that of voltage is 24 V.
      Calculate the:
      1. rms values of voltage and current (2 marks)
      2. power dissipated in the resistor (3 marks)
    3. Figure 8 shows a call circuit.
      Ele2021pastpaperQ29
      1. Name the parts labelled A to D   (3 marks)
      2. Explain the operation of the circuit. (2 marks)
  5. Figure 9 shows three view of an object drawn in first angle projection
    Ele2021pastpaperQ30
    Draw an isometric view of the object with point X the lowest (13 marks)

MARKING SCHEME

 1(a)
  • KENGEN
  • KENTRACO
  • REA
  • K.P.L.C
                                                                                     Any 2 x 1=2 

 

 

(2marks)

    (b)
  • Every twin socket outlet counts as single socket outlet.
  • The number of non-fused spurs must not exceed the total number of points on the ring.
  • The face rating of fused spur box must not exceed 13 A and the
    current rating of all points supplied by the fused spur must not exceed
    13 A.
  • Non-fused spurs must supply not more than one single or one double socket outlet or one stationary appliance.
  • For domestic premises of area less than 100m2 a ring circuit may serve as an unlimited number of points.                                        Any 2 x 1 = 2

 

 

 

 

 

 

 (2marks)

 2(a)  Current flowing through a conductor is directly proportional to voltage
 across it provided temperature and other physical conditions are kept in
  constant.                                                                                       1x 1 = 1

 

1

   (b)
  1.  1  =  1   +
    RT    R1    R2    R3
     1 1 +                      (1)
    RT   400 960 570
    RT = 570 Ω                              (1)
    Effective resistance = 570 + 2
                                    = 572 Ω    (1) 
  2. I = 
         RT
      =  240                                      (1)
          572
      = 0.4 A                                      (1)

 3

 

 

 

 2

 3(a)
  • Stroking
  • Induction
  • Use of direct current                                                             Any 2 x 1=2

 

 2

   (b)
  • In magnetic compass
  • For data storage (magnetic tapes)
  • To hold objects
  • Provide magnetic field for small motors, dynamo, measuring
    instrument                                                                 Any 2 x 1

 

 

 2

 4(a)
  • Blown fuse
  • Short circuit
  • Open circuit
  • Overload                                                                        Any 2 x 1

 

 

 2

   (b)        Advantages
  • Robust
  • Easy to read
  • No error of parallax                                                        Any 2x1
    Disadvantages
  • Expensive
  • Requires regular battery charging                                  Any 1x1

 2

 

 

 1

5(a) Application of skilled principles in the event of a sudden illness or accident by use of readily available facilities until the casualty is taken to the hospital.
                                                                                                       Any 2 x 1
 2
  (b)
  • Hard working
  • Innovative
  • Good interpersonal skills
  • Focused                                                                                   Any 3 x 1

 

 

 3

6(a)
  1. laminate core 
  2. primary winding
  3. secondary winding                                                                   (3 x 1)

 

 3

  (b)  Eb = Es - Ia Ra (1)
 Eb = 500-(50x0.5)  (1)
 Eb = 500 − 25
     = 475 V    (1)

 

 3

7(a)   Intermediate switch 
Ele2021pastpaperQ37
 1
  (b)  Switched socket outlet
Ele2021pastpaperQ38
 1
  (c) Twin flourescent lamp
Ele2021pastpaperQ39
 1
8 (a)  CT = C1 + C2 + C3             1
       = 70+ 50+34                 1
       = 154 μF                       1
 3
   (b)  Q = CV
     = 154 x 10−6 F x 500V     1
     = 7.7 x 10−2C                  ½
     = 77mc                           ½

 1

 1

9(a)  Ic =  3v = 1.5mA
       2kΩ
 α = IC  IE = IC = 1.579 mA
       IE          α       

 1

 1

  (b)  1B = 1E − 1C
        
= (1.579 − 1.5) mA
      = 79 μA

 1

 1

10(a)
  • Physical inspection results (1)
  • Installation tests results  (1)                                                     2 x 1
 2
    (b) Ele2021pastpaperQ40

 1

 1

 

 1

 1

11(a)
  1. 84÷2 = 42 rem 0
    42+2 = 21 rem 0
    21+2 = 10 rem 1
    10:2 = 5 rem 1       (1)
    5+2 = 2 rem 1
    2÷2 = 1 rem 0
    ∴ 8410 = 1010100        (1)
  2.  11110112
       = 26 + 25 + 24 + 23 + 02 + 21 + 20 (1)
       = 64 + 32 + 16 + 8 + 2 + 1   (1)
       = 123

 2

 

 

 

 

 

 2

    (b)

 Cartridge fuse

  1.  Advantages
    • rating is accurately known
    • fuse element is less prone to deteriorate
  2. Disadvantages
    • the element cannot be replaced
    • its unsuitable for use where extremely high values of fault current may occur

 2

 

 

 

 2

    (c)
  1.  When VCE = 0
     VCC = VCE + ICRC
    ⇒ Vcc = IcRc
    ⇒ Vcc = Ic
         Rc
    12 = Ic
        12
     1.0 μA = Ic
    Ele2021pastpaperQ41
 
 12(a)
  • cost
  • durability
  • type of fapply
  • type of binding (permanent/temporary)                       (Any 4 x 1⁄2) 
 2
    (b)
  1.  XL= 2 πfL ½
          = 2π (50 Hz) (10 mH) ½
          = 2π x 50 x 10 x 10-3 ½
          = 3.14 Ω  ½
  2. Z = √R2 + XL ½
       = √42 +3.142    ½
       = √16 +9.85 ½
       = 5.086 Ω   ½
  3. Current, I =                   1
                       Z
                    = 240  
                       5.086
                    = 47.18A           1

 2

 

 

 2

 

 

 

 2

    (c)  Moving coil instrument
Ele2021pastpaperQ42

 

 

 

 

 

 

 

 

 

 

 

 5

 

 13(a)
  • In three phase transmission for stepping-up and stepping-down voltages
  • Interconnect systems that are operating at almost constant voltage
  • To boost voltages on long single and three-phase distribution lines
  • To provide multi-voltage source                                      (Any 2 x 1)

 

 

 2

    (b)
  1. Primary current: Ip = KVA                ½
                                       VP
                               Ip = 30 X 1000      ½
                                           320
                                   = 93.75A              (1)
  2. Secondary current
                               Is = KVA                 ½
                                        Vs
                                   = 30 x 1000         ½
                                           250
                                   = 120 A         (1)
  3. Current in common part of the winding
                                 = (120 − 93.75)  ½
                                 = 26.25A   ½

 2

 

 

 2

 

 

 

 1

    (c)
  1.  
    1. - Shaft
    2. - Armature
    3. - Commutator
    4. - Brush                                                               (Any 4 x 1)
  2. Commutator
    • To produce direct current from an a.c. generator, a commutator is used. It converts generated alternating current into direct current for external use.

 4

 

 

 

 2

14(a)
  1. Instantaneous power
    • Is the rate of energy conversion at a given instant of the sine wave or cycle.                                                                         (2 x 1)
  2. Average power
    • Is the rate of energy conversion over a duration of time   (1 x 1)

 2

 

 1

    (b)
  1. Irms = 0.707 x 3 A = 2.121 A        (1)
    Vrms 0.707 x 24 V = 16.97 V         (1)
  2. Power dissipated in the resistor
    P = VI                          (1)
       = 16.97 X 2.121       (1)
       = 35.98W                 (1)

 2

 

 

 3

    (c)
  1.  
    1. - Bell
    2. - Push button
    3. - Source of supply
    4. - Relay                                                                     (Any 3 x 1)
  2. Operation
    • When the push button is pressed, the coil is energized and the armature carrying the switch is attracted (1) and closes the circuit, hence the bell rings. (1)

 

 

 3

 

 2

 15 Ele2021pastpaperQ43 
 Faces - 9 = (10 x 1) = 10
                  Line work = 1
 Point x directly palced = 1
                     Neatness = 1
                                13 marks
 
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