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NCEES FE Other Disciplines Basic Electrical & Electronics Engineering: practice questions

NCEES FE Other Disciplines · USA · NCEES

Original practice questions written to the published syllabus · not past papers
10worked here, free
33written to this exam in this subject
10syllabus units

What this subject covers

Circuits, power, transformers, electronic devices and safe wiring: what a farm engineer needs before motors and sensors.

In the exams: NCEES FE Basic Electrical Engineering 6–9 questions; NCEES PE electrical circuits

What NCEES FE Other Disciplines asks from it

NCEES FE Other Disciplines — Basic Electrical Engineering (6–9 questions)

Short calculations straight from the reference handbook: Ohm's and Kirchhoff's laws, series–parallel reduction, Thevenin/Norton equivalents and maximum power, RC/RL time constants, AC impedance and phasors, real/reactive/apparent power and power factor, three-phase power, and ideal transformer ratios. Speed with complex numbers on the calculator decides marks.

Where the 33 questions fall

How our questions for NCEES FE Other Disciplines spread across the units of Basic Electrical & Electronics Engineering. Difficulty: 4 easy, 21 medium, 8 hard.

DC circuits and network theorems5
AC circuits, phasors and power factor5
Single-phase and three-phase supply4
Transformers3
Operational amplifiers3
Digital logic3
House wiring and earthing3
Electrical safety3
Electrical measuring instruments2
Semiconductor devices and rectifiers2

10 practice questions, worked

Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.

1 · DC circuits and network theorems · medium

A sensor network has a Thevenin equivalent of 18 V in series with 3 Ω. A 6 Ω load is connected. What current does the load draw?

  1. 2.4 A
  2. 3 A
  3. 6 A
  4. 2 A
Answer and working

D. 2 A

I = V_Th/(R_Th + R_L) = 18/(3 + 6) = 2 A. Dividing by the load alone (3 A) ignores the source resistance; 6 A is the short-circuit (Norton) current; 2.4 A cannot be obtained from the stated 18 V, 3 Ω equivalent with a 6 Ω load.

2 · DC circuits and network theorems · medium

A source has a Thevenin voltage of 18 V and Thevenin resistance of 3 Ω. What is the maximum power it can deliver to a resistive load, and at what efficiency?

  1. 54 W at 50 % efficiency
  2. 108 W at 100 % efficiency
  3. 27 W at 100 % efficiency
  4. 27 W at 50 % efficiency
Answer and working

D. 27 W at 50 % efficiency

Maximum power transfer occurs at R_L = R_Th = 3 Ω, giving P = V_Th²/(4R_Th) = 324/12 = 27 W. Equal power is lost inside the source, so efficiency is 50 %. 108 W is V²/R with the load shorted out — the power dissipated internally on short circuit, not load power.

3 · DC circuits and network theorems · medium

Why can the superposition theorem not be used to find the power dissipated in a resistor by adding the powers due to each source acting alone?

  1. Power is a vector quantity and must be added as phasors, not as numbers
  2. Superposition only applies to circuits containing a single independent source
  3. Superposition applies to voltages only and never to branch currents
  4. Power varies with current squared, so it is not linear in the sources
Answer and working

D. Power varies with current squared, so it is not linear in the sources

Superposition relies on linearity: currents and voltages add. Power is I²R, and (I₁ + I₂)² ≠ I₁² + I₂², so adding powers is wrong. Find the total current by superposition first, then square it. Superposition is pointless with one source and it applies to currents as well as voltages.

4 · AC circuits, phasors and power factor · hard

A 230 V, 50 Hz single-phase borehole pump motor draws 10 A at 0.8 power factor lagging. What shunt capacitance raises the power factor to 0.95 lagging?

  1. 293 µF
  2. 83 µF
  3. 46.6 µF
  4. 10729 µF
Answer and working

C. 46.6 µF

P = 230 × 10 × 0.8 = 1840 W; tan φ₁ = 0.75, tan φ₂ = 0.3287; Q_c = 1840 × (0.75 − 0.3287) = 775 var; C = Q_c/(ωV²) = 775/(314.16 × 230²) = 46.6 µF. 83 µF corrects to unity; 10729 µF divides by V instead of V²; 293 µF forgets the 2π in ω.

5 · Single-phase and three-phase supply · medium

Why are three-phase induction motors preferred to single-phase ones for farm pumps above a few kilowatts?

  1. They use direct current internally, which avoids the losses of magnetising the iron core
  2. Their three windings give a rotating field, so they self-start and deliver steady power
  3. They run at exactly synchronous speed under load and therefore never need protection
  4. They need no earth connection because the three phase currents always cancel in the frame
Answer and working

B. Their three windings give a rotating field, so they self-start and deliver steady power

Three-phase currents in three windings 120° apart produce a constant rotating field, so the motor self-starts without an auxiliary winding and the total power does not pulsate. Induction motors run below synchronous speed (slip), still need overload protection, and must be earthed like any other metal-framed equipment.

6 · Electrical measuring instruments · medium

A clamp meter is closed around both the phase and neutral conductors of a single-phase pump cable while the pump runs normally. What does it read?

  1. The supply voltage, because the clamp couples electric field
  2. Close to zero, because equal and opposite currents cancel
  3. Twice the pump current, because both conductors carry it
  4. The pump current, because the meter senses only the phase
Answer and working

B. Close to zero, because equal and opposite currents cancel

The clamp senses the net current through its jaws. Phase and neutral carry equal and opposite currents, so the net is zero except for any leakage to earth — which is how earth-leakage clamps find faults. To read load current, clamp one conductor only.

7 · Operational amplifiers · medium

An inverting amplifier has R_f = 100 kΩ and R_i = 10 kΩ. What is the output for a +0.2 V input, assuming the op-amp stays within its output range?

  1. +2.2 V
  2. −2.0 V
  3. +2.0 V
  4. −2.2 V
Answer and working

B. −2.0 V

Gain = −R_f/R_i = −100/10 = −10; V_out = −10 × 0.2 = −2.0 V. +2.0 V ignores the inversion; ±2.2 V uses the non-inverting gain 1 + R_f/R_i = 11.

8 · Operational amplifiers · hard

In an inverting amplifier with the non-inverting input grounded, why is the inverting input called a 'virtual ground'?

  1. It floats at half the supply voltage, which is treated as zero for AC signals
  2. It carries the full input current to ground through the op-amp's input stage
  3. Feedback holds it at 0 V, yet no current flows from it to ground
  4. It is connected to ground through a very low resistance inside the op-amp
Answer and working

C. Feedback holds it at 0 V, yet no current flows from it to ground

With negative feedback and very high open-loop gain, the output drives the input difference to nearly zero, so the inverting input sits at ground potential. But because the input impedance is very high, no current flows into it; the input current all passes through R_f. It is not physically grounded.

9 · House wiring and earthing · medium

In a TT earthing system, how are the consumer's exposed metal parts earthed?

  1. Through the supplier's combined neutral and earth (PEN) conductor
  2. Through the consumer's own earth electrode, separate from the supply earth
  3. They are not earthed; the supply itself is isolated from earth
  4. Through a separate protective conductor run back from the substation
Answer and working

B. Through the consumer's own earth electrode, separate from the supply earth

TT: the source neutral is earthed (first T) and the installation's exposed parts go to an independent local electrode (second T). A PEN conductor is TN-C/TN-C-S; a separate protective conductor from the source is TN-S; an isolated supply is IT.

10 · Electrical safety · medium

An enclosure for a milking-parlour pump controller is rated IP55 under IEC 60529. What does this mean?

  1. Protected against splashing water but not against dust
  2. Dust-tight and protected against temporary immersion
  3. Protected against 55 % humidity at 55 °C ambient
  4. Dust-protected and protected against water jets
Answer and working

D. Dust-protected and protected against water jets

In the IP code the first digit is protection against solids (5 = dust-protected; 6 = dust-tight) and the second against water (5 = water jets; 7 = temporary immersion). The digits are not humidity or temperature ratings.

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Read the subject

Basic Electrical & Electronics EngineeringThe full study manual, free NCEES FE Other DisciplinesFormat, sections and how it has changed

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