Free Circuit Analysis MCQs with Answers

394 Circuit Analysis MCQs from Electrical Engineering, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

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394 questions · page 15 of 20

  • A. average voltage
  • B. r.m.s. voltage
  • C. peak voltage
  • D. none of the above

Explanation: AC equipment ratings use RMS voltage because it produces the same heating effect as an equivalent DC voltage.

Correct answer: r.m.s. voltage
  • A. a sinusoid of the same frequency
  • B. a sinusoid of half the original frequency
  • C. a sinusoid of double the frequency
  • D. not a sinusoid

Explanation: The difference of two sinusoids having the same frequency can be combined into one sinusoid of that same frequency, with a new amplitude…

Correct answer: a sinusoid of the same frequency
  • A. 2.5
  • B. 5
  • C. 10
  • D. 15

Explanation: Capacitive reactance is Xc = 1/(2πfC), so it is inversely proportional to frequency.

Correct answer: 10
  • A. the same as frequency
  • B. time required to complete one cycle
  • C. expressed in amperes
  • D. none of the above

Explanation: The period is the time taken by a waveform to complete one full cycle, and it is measured in seconds. It is related to frequency by T = 1/f.

Correct answer: time required to complete one cycle
  • A. peak value to r.m.s. value
  • B. r.m.s. value to average value
  • C. average value to r.m.s. value
  • D. none of the above

Explanation: For an alternating waveform, form factor is defined as the ratio of its r.m.s. value to its average value, usually the rectified average.

Correct answer: r.m.s. value to average value
  • A. 100 n
  • B. 50 jt
  • C. 25 JT
  • D. 5 n

Explanation: Angular frequency is ω = 2πf. With f = 50 Hz, ω = 2π(50) = 100π rad/s, corresponding to option a where the symbol is rendered as n.

Correct answer: 100 n
  • A. purely inductive circuit
  • B. R-L circuit
  • C. R-C circuit
  • D. R-L-C circuit

Explanation: A transient involving two energy-storage elements is associated with an R-L-C circuit, which contains both an inductor and a capacitor.

Correct answer: R-L-C circuit
  • A. inductance
  • B. capacitance
  • C. resistance
  • D. both A. and B.

Explanation: A pure resistance has voltage and current in phase, so its power factor is cos 0° = 1.

Correct answer: resistance
  • A. parallel
  • B. series
  • C. either A. or (b)
  • D. none of the above

Explanation: A capacitor is connected in parallel with an inductive load to supply leading reactive current that offsets the lagging reactive current.

Correct answer: parallel
  • A. capacitance only
  • B. inductance only
  • C. resistance only
  • D. all above

Explanation: A purely resistive AC circuit obeys the same voltage-current relationships and circuit laws as a DC resistive circuit because resistance…

Correct answer: resistance only
  • A. R/Z
  • B. cosine of phase angle difference be-tween current and voltage
  • C. kW/kVA
  • D. ratio of useful current to total cur¬rent Iw/I
  • E. all of these

Explanation: Power factor can be written as cos φ, kW/kVA, R/Z, or Iw/I, since each represents the in-phase component relative to the total.

Correct answer: all of these
  • A. minimum
  • B. maximum
  • C. zero
  • D. none of the above

Explanation: At series resonance, inductive and capacitive reactances cancel, leaving only the usually small resistance; hence the impedance is at its…

Correct answer: minimum
  • A. both waves must have same frequency
  • B. both waves must have identical peak values
  • C. both waves must have zero value at the same time
  • D. none of the aboveGet Study Guides

Explanation: A fixed phase difference between two steady sinusoidal waves is meaningful only when they have the same frequency; otherwise their…

Correct answer: both waves must have same frequency
  • A. square wave
  • B. half wave rectified sine wave
  • C. triangular wave
  • D. sine wave

Explanation: For the same peak value, a square wave remains at its peak magnitude throughout the cycle, so its RMS value equals the peak value.

Correct answer: square wave
  • A. resistive elements
  • B. passive elements
  • C. non-linear elements
  • D. linear bilateral elements

Explanation: Superposition requires linear circuit elements so that each source produces a response proportional to its magnitude and the responses can…

Correct answer: linear bilateral elements
  • A. junction currents
  • B. battery e.m.fs.
  • C. IR drops
  • D. both B. and C.
  • E. none of the above

Explanation: Kirchhoff’s voltage law states that the algebraic sum of voltage rises and drops around a closed loop is zero.

Correct answer: both B. and C.
  • A. value of current through the resistor
  • B. direction of current through the resistor
  • C. value of resistor
  • D. e.m.fs. in the circuit

Explanation: Using the passive sign convention, current enters the positive terminal of a resistor, so the current direction identifies the…

Correct answer: direction of current through the resistor
  • A. Thevenin's theorem
  • B. Millman's theorem
  • C. Maximum power transfer theorem
  • D. None of the above

Explanation: Millman’s theorem combines parallel source branches by adding their algebraic source currents and combining their branch resistances in…

Correct answer: Millman's theorem
  • A. only variable resistances
  • B. only some sources of e.m.f. in it
  • C. only two sources of e.m.f. in it
  • D. no source of e.m.f. in it

Explanation: A passive network has no independent source of e.m.f. or externally supplied energy; it only absorbs or stores energy through elements…

Correct answer: no source of e.m.f. in it