A.C. FUNDAMENTALS

Objective Questions

Short notes

Objective questions (Answers are given below)

  1. An a.c. current given by i = 14.14 sin (ωt +
    π/6) has an r.m.s value of — amperes.
    (a) 10
    (b) 14.14
    (c) 1.96
    (d) 7.07
    and a phase of — degrees.
    (e) 180
    (f) 30
    (g) − 30
    (h) 210
  2. If e1 = A sin ωt and e2 = B sin (ωt − φ), then
    (a) e1 lags e2 by θ
    (b) e2 lags e1 by θ
    (c) e2 leads e2 by θ
    (d) e1 is in phase with e2
  3. From the two voltage equations eA = Em
    sin 100πt and eB = Em sin (100πt + π/6), it
    is obvious that
    (a) A leads B by 30°
    (b) B achieves its maximum value 1/600
    second before A does.
    (c) B lags behind A
    (d) A achieves its zero value 1/600 second
    before B.
  4. The r.m.s. value of a half-wave rectified
    current is 10A, its value for full-wave
    rectification would be — amperes.
    (a) 20
    (b) 14.14
    (c) 20/π
    (d) 40/π
  5. A resultant current is made of two components
    : a 10 A d.c. component and a sinusoidal
    component of maximum value 14.14
    A. The average value of the resultant current
    is — amperes.
    (a) 0 (b) 24.14
    (c) 10 (d) 4.14
    and r.m.s. value is — amperes.
    (e) 10 (f) 14.14
    (g) 24.14 (h) 100
  6. The r.m.s. value of sinusoidal a.c. current
    is equal to its value at an angle of — degree
    (a) 60 (b) 45 (c) 30 (d) 90
  7. Two sinusoidal currents are given by the
    equations : i2 = 10 sin (ωt + π/3) and i2 = 15
    sin (ωt − π/4). The phase difference
    between them is — degrees.
    (a) 105
    (b) 75
    (c) 15
    (d) 60As sine wave has a frequency of 50 Hz. Its
  1. As sine wave has a frequency of 50 Hz. Its
    angular frequency is — radian/second.
    (a) 50/π
    (b) 50/2 π
    (c) 50 π
    (d) 100 π
  2. An a.c. current is given by i = 100 sin 100.
    It will achieve a value of 50 A after — second.
    (a) 1/600
    (b) 1/300
    (c) 1/1800
    (d) 1/900
  3. The reactance offered by a capacitor to alternating
    current of frequency 50 Hz is 10Ω.
    If frequency is increased to 100 Hz reactance
    becomes—ohm.
    (a) 20 (b) 5
    (c) 2.5 (d) 40

1a, f 2. b 3. b 4. b 5. c, f 6. b 7. a 8. d 9. a 10. b

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