Energy, utilities, nuclear, mining, and natural resources · suite apt-147-mine-electrician-and-mechanic · generated 2026-09-15T15:29:48.993Z
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This file contains the whole study outline for this suite: every skill it draws on, the full lesson for each of those skills, worked examples, practice tips, a glossary, and where each piece of material comes from. Nothing here is a summary of a page you still have to visit.
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| Mode | Duration | What it is for |
|---|---|---|
| Guided practice | 15 minutes | Untimed, with feedback after every item. |
| Mini-test | 18 minutes | A short timed set for checking pace. |
| Full simulation | 45 minutes | Full length and full time, in one sitting. |
This suite draws on 5 skill constructs. Each one below carries its complete lesson.
Basic circuits, current, voltage, resistance, symbols, and electrical troubleshooting.
Electrical reasoning is the ability to move confidently between volts, amps, ohms and watts on a circuit you can only see as a diagram, and to say what a fault would look like on a meter before you pick one up. It is the core construct in electrician and powerline apprenticeship entry tests, electronics and telecommunications technician screening, and military electrical batteries. On the job it is the difference between localising a break in three measurements and replacing three good parts. Everything you practise here stays on this device; there is no account and no upload.
What you should be able to do after this lesson:
Ohm's law on real components: A 12 V battery feeds a 4 ohm heater element. Current is 12/4 = 3 A, and power is 12 x 3 = 36 W. Put the same element on 24 V and current becomes 6 A while power becomes 24 x 6 = 144 W: doubling the voltage quadruples the power, because both factors in P = VI doubled. Candidates who answer 72 W have doubled one factor and forgotten the other. The nastier version of this item uses lamps. On the same 230 V supply, which has the higher resistance, a 60 W lamp or a 100 W one? Since P = V x V / R, resistance is V x V / P: the 60 W lamp is 52,900/60 = 882 ohms and the 100 W lamp is 52,900/100 = 529 ohms. The more powerful lamp has the LOWER resistance and draws more current, which feels backwards to anyone who reads 'more powerful' as 'more of everything'. Fix the direction of the relationship once: at a fixed voltage, more power means less resistance.
Series and parallel: two rules, two consequences: Three 6 ohm resistors across an 18 V supply. In series the resistances add to 18 ohms, the current is 18/18 = 1 A and it is the same at every point in the loop, and each resistor drops 1 A x 6 ohms = 6 V. The three drops sum to the supply, 6 + 6 + 6 = 18 V, which is the check you should run every time. In parallel each resistor sees the full 18 V, so each branch carries 18/6 = 3 A, the supply delivers 9 A, and the equivalent resistance is 18/9 = 2 ohms. The same 6/3 the reciprocal rule gives. The consequences matter more than the arithmetic. Adding a parallel branch always lowers total resistance and raises total current, which is exactly why plugging a fourth appliance into one socket circuit trips the breaker. Two checks catch nearly every slip: parallel resistance is always less than the smallest branch, and the branch with the smallest resistance always carries the biggest current.
Fault-finding by what stays lit: Six identical lamps in series on 12 V drop 2 V each. Break one filament and the current has nowhere to go: all six go out, which is the old fairy-light string that fails completely for one dead bulb. Finding the break is the counter-intuitive part. Across every good lamp your meter now reads 0 V, because no current is flowing to develop a drop, while across the broken one it reads the full 12 V. Candidates who expect the faulty component to read zero walk straight past it. Wire the same six in parallel instead and each lamp sees the full 12 V on its own branch, so a broken filament kills that lamp alone and the supply current merely drops by one sixth. That contrast is what makes a half-dead string diagnostic. If lamps 1 to 3 are lit and 4 to 6 are dead, they cannot be in series at all, because one break in a series loop kills every lamp; they are parallel branches hanging off a shared feed, and the fault is a break in that feed between position 3 and position 4. Probe the feed there rather than testing lamps: the last lit branch and the first dead one bracket the break.
Voltage dividers, and where each meter belongs: A 2 kilohm and a 3 kilohm resistor in series across 10 V. Total 5 kilohms, current 10/5,000 = 2 mA, which is the same in both. The 3 kilohm resistor drops 0.002 x 3,000 = 6 V and the 2 kilohm drops 4 V, splitting the supply in the ratio of the resistances. The bigger resistor always takes the bigger share. Now the meters. An ammeter goes IN the current path, in series with the component, and is designed with a near-zero resistance so it barely disturbs the circuit. A voltmeter goes ACROSS the component, in parallel, and has a very high resistance for the same reason. Swap them and the consequences are asymmetric: a voltmeter placed in series reads almost the whole supply and the circuit stops working, while an ammeter placed straight across a battery is a near-zero resistance across a source: a deliberate short circuit, a blown fuse at best. That asymmetry is the point of the item.
Why cable size is an I x I x R question: A 2.5 kW heater on 230 V draws 2,500/230 = 10.9 A. Suppose the supply cable has 0.5 ohms of total loop resistance. The voltage lost in the cable is 10.9 x 0.5 = 5.4 V, and the heat dissipated in the cable itself is I x I x R = 10.9 x 10.9 x 0.5 = about 59 W: quietly warming a coiled extension lead. Fit a thicker conductor so the loop resistance halves to 0.25 ohms and both the drop and the heat halve. Double the current instead, to 21.7 A, and the drop doubles but the heat goes up FOURFOLD, to about 236 W, because the current appears twice. Candidates who treat cable loss as proportional to current under-estimate it badly. This squared term is the reason a partly uncoiled drum overheats, the reason long runs need a larger conductor for the same load, and the reason transmission networks push power at high voltage and low current.
Transformers: turns ratio, and why they ignore DC: An ideal transformer has 400 primary turns and 40 secondary turns, a 10:1 ratio, and sits on 230 V AC. The secondary voltage is 230 x 40/400 = 23 V. Power in equals power out in the ideal case, so if the secondary supplies 5 A into a load, the secondary is delivering 23 x 5 = 115 W and the primary must draw 115/230 = 0.5 A. Voltage steps down by the turns ratio, current steps up by the same ratio, and no power is created. Two traps. The first is multiplying rather than dividing, giving 2,300 V from a step-down winding. Always ask which winding has more turns before you touch the arithmetic. The second is the DC version of the question: connect that primary to a 24 V battery and the secondary produces nothing once the initial switch-on transient passes, because a steady current produces a steady flux and only a CHANGING flux induces a secondary voltage. Meanwhile the primary, with only its winding resistance to limit it, draws enough current to burn out. That is also why the mains figure quoted as 230 V is an RMS value, and why the waveform actually peaks near 230 x 1.414 = 325 V.
Educational preparation only. Novus Learn does not administer official exams and does not guarantee scores or hiring outcomes.
Forces, motion, gears, pulleys, levers, fluids, pressure, and basic machines.
Mechanical comprehension is the ability to predict what a physical system will do (which way a gear turns, how hard you have to pull, how far the load actually rises) from forces, moments and the simple machines, rather than from a memorised formula sheet. It carries real weight in apprenticeship entry batteries, military technical selection, and screening for maintenance, machine operation and rigging roles. The same reasoning is daily work on site: sizing a jack, choosing a block-and-tackle arrangement, deciding why a belt slips under load but not at idle. Practice here is device-local: no account, and nothing leaves this device unless you export it.
What you should be able to do after this lesson:
Levers: balance the moments, then name the class: A wheelbarrow carries 60 kg whose centre of mass sits 0.4 m from the wheel axle, and you grip the handles 1.2 m from that same axle. Take moments about the axle: lift force x 1.2 m = 60 kgf x 0.4 m, so the lift force is 60 x 0.4 / 1.2 = 20 kgf, about 196 N. The mechanical advantage is simply the arm ratio, 1.2 / 0.4 = 3. Two traps live in this item. The first is measuring the load arm from your hands instead of from the fulcrum; the arm is always the perpendicular distance to the pivot, and the pivot here is the wheel contact, not the barrow body. The second is calling it a first-class lever because that is the one everyone pictures. A wheelbarrow is second class: fulcrum at one end, load in the middle, effort at the far end, which is why its mechanical advantage is always greater than one. Compare tweezers or a pair of tongs, where the effort sits between fulcrum and load: that is third class, mechanical advantage below one, and you are deliberately trading force away to buy speed and control at the tip. Your own forearm lifting a weight is the same arrangement, which is why a 5 kg dumbbell loads the biceps far more than 5 kg.
Gear trains: tooth counts set speed, meshes set direction: A 12-tooth driver turning at 300 rpm meshes directly with a 36-tooth gear. The ratio is driven teeth over driver teeth, 36/12 = 3:1, so the output turns at 300/3 = 100 rpm and, ignoring friction, carries about three times the torque. One external mesh reverses rotation, so the output turns opposite to the driver. Now drop a 20-tooth idler between them. Step it through: 300 x 12/20 = 180 rpm at the idler, then 180 x 20/36 = 100 rpm at the output. The overall ratio is unchanged at 3:1, the idler's tooth count cancels, but there are now two external meshes, two reversals, so the output turns the SAME way as the driver. That is the whole reason idlers are fitted. The tempting wrong answer treats the idler as another reduction stage and reports 180 rpm or some product of both ratios. The check that never fails: only the first and last gear in a simple train affect the ratio, and the direction depends on whether the number of external meshes is odd (reversed) or even (same). An internal or ring mesh, as in a planetary set, does not reverse at all.
Pulleys: count the rope parts that carry the load: A 200 kg load, about 1,962 N. Hung from a single pulley bolted to a beam, the pulley only changes the direction you pull; both rope parts still meet at a fixed axle, the mechanical advantage is 1, and you pull the full 200 kgf. Hang the pulley on the load instead, with one rope end anchored above and the other in your hands, and two rope parts now support the moving block: mechanical advantage 2, effort about 100 kgf or 981 N, but you must pull 2 m of rope for every 1 m the load rises. Build a tackle with four parts supporting the moving block and the effort falls to 200/4 = 50 kgf, about 490 N, at the cost of 4 m of rope pulled per metre of lift. The trap is counting sheaves instead of supporting parts. A three-sheave arrangement gives three parts if the dead end is made off to the fixed block and four if it is made off to the moving block, and the answer differs by 33 percent. The second trap is treating the figure as delivered force: real sheaves lose a few percent each to bearing and rope friction, so quoted mechanical advantage is the ideal velocity ratio, and the effort you actually feel is higher.
Hydraulics: pressure is shared, force and travel are traded: A jack has a 2 square centimetre input piston and a 50 square centimetre output ram. Push the small piston with 100 N and the pressure in the fluid is 100 / 2 = 50 N per square centimetre, which is 500 kPa. Pascal's principle says every part of the confined fluid sees that same 500 kPa, so the large ram feels 50 N/cm2 x 50 cm2 = 2,500 N. Mechanical advantage 25. Nothing is free: fluid is effectively incompressible, so volume in equals volume out. A 25 cm stroke on the small piston moves 2 x 25 = 50 cubic centimetres, and 50 cubic centimetres spread over a 50 square centimetre ram raises it 1 cm. Twenty-five centimetres of pumping buys one centimetre of lift: exactly the force-times-distance bargain a lever strikes. Candidates lose this item by assuming both pistons travel the same distance, or by concluding the jack manufactures energy. A related item asks about a tank: the pressure at the bottom depends on the height of fluid above and its density, not on the width of the vessel, so a narrow 3 m standpipe reads the same bottom pressure as a 3 m deep swimming pool.
Belts and chains: same belt speed, different rpm: A motor pulley 100 mm in diameter runs at 1,450 rpm and drives a 250 mm pulley through an open V-belt. The quantity that is genuinely shared is belt speed, not rpm, so the driven pulley turns at 1,450 x 100/250 = 580 rpm. Note the direction of the ratio: with gears you divide by driven teeth, with belts you divide by driven diameter, and the arithmetic looks the same only because both are proportional to circumference. An open belt drives both pulleys the same way; a crossed belt reverses the driven pulley, which is the entire point of the classic crossed-belt diagram item. The trap is slip. A flat or V-belt under an overload slips, so the driven speed falls below 580 rpm while the motor holds 1,450: the symptom of a glazed belt or a weak tensioner. A chain or a toothed timing belt physically cannot slip a tooth without damage, which is why camshaft and indexing drives use them and why a belt-driven answer and a chain-driven answer to the same question can legitimately differ.
Springs in series and parallel: the answer most people reverse: Two identical coil springs, each 20 N/mm. Mount them side by side, both carrying the same load, and they act in parallel: stiffness adds to 40 N/mm, so a 400 N load compresses the pair 400/40 = 10 mm. Now stack them end to end, in series. Each spring carries the whole 400 N, force is not split down a chain, so each deflects 400/20 = 20 mm and the total is 40 mm. The combined stiffness is 400/40 = 10 N/mm, half of one spring. Most candidates reverse the two because 'series' sounds like the case where things add. Two reliable checks: in parallel the arrangement is always stiffer than one spring, and in series it is always softer than the softest spring. That is also why suspension designers add a helper spring in parallel to raise rate under load, and why a long slender bolt clamps more forgivingly than a short stubby one carrying the same preload.
Educational preparation only. Novus Learn does not administer official exams and does not guarantee scores or hiring outcomes.
Applied technical principles, diagrams, tools, systems, measurements, and troubleshooting.
Technical reasoning is what sits above any single trade: reading a system diagram for what it actually does, isolating a fault by measurement instead of by guesswork, and taking the governing number off a drawing or a nameplate without importing assumptions. It is assessed in HVAC, instrumentation, mechatronics, process-operator and engineering-technician selection, and it is the construct that best predicts whether someone can diagnose an unfamiliar machine. Employers care about it because part-swapping is expensive and half-splitting is not. Practice sessions here stay on your device unless you choose to export them.
What you should be able to do after this lesson:
Half-splitting beats swapping parts: A conveyor will not stop when its photo-eye is blocked. The chain is: sensor, field cable, junction box, PLC input card, PLC program, output card, interposing relay, contactor. Eight places the signal can die. Swapping parts one at a time means four or five attempts on average, since the culprit is equally likely to sit anywhere in the eight, and every attempt costs a part. Half-splitting starts in the middle instead: watch the PLC input LED while a colleague blocks the beam. If it toggles, the sensor, field cable, junction box and input card are all proven good in a single observation, and eight candidates become four. Force the output in the PLC and watch the contactor: if it pulls in, the output card, interposing relay and contactor are good as well, so the fault is in the program logic rather than the hardware. Three checks resolve eight stages, because each check halves the remaining suspects. The trap is starting at whichever end is easiest to reach, which resolves one stage per check instead of half of them. The second trap is the sentence 'I replaced the sensor and it still fails', that proves only that the sensor was not the fault, at the price of a part and an hour.
Tolerance: in spec, or scrap?: A drawing calls a shaft 25.00 mm with a tolerance of plus 0.05 and minus 0.10. That is an asymmetric tolerance, so the acceptance window runs from 24.90 mm to 25.05 mm and the nominal is not at its centre. A part measuring 24.92 mm is inside the window and passes, even though it is below nominal: the most common wrong rejection on this style of item, made by anyone who silently reads the tolerance as plus or minus 0.05. A part at 25.06 mm fails by 0.01 mm, but it fails oversize, so material can still be removed and it is rework rather than scrap. A part at 24.85 mm fails undersize and there is no recovering it. One more layer the better items include: if you took that 25.06 reading on a caliper with 0.02 mm resolution, the reading is at the very limit of what the instrument can resolve, and the honest next step is to re-measure with a micrometer before anyone scraps or reworks anything.
Reading a system diagram: what can actually cause this?: A tank fill line is drawn as supply, isolation valve V1, strainer, pump P1, check valve, control valve CV1, tank. A high-level switch LSH-1 is wired to close CV1. The reported symptom is that the tank overfilled. Work the path between the measurement and the element that stops flow: a CV1 that has stuck open, an LSH-1 that never actuated, and a broken wire in the LSH-1 loop are all consistent with the symptom. A blocked strainer is not: restricting the inlet reduces flow, and no amount of restriction causes an overfill. Nor is the check valve, whose function is to prevent reverse flow, not forward flow. Candidates pick the strainer because it is the component they know fouls in service, which is a memory of maintenance history rather than a reading of the diagram. The discipline that earns the mark is directional: a component can only be responsible if it lies on the causal path AND its failure mode pushes the system in the direction of the symptom.
Instrument choice: resolution is not accuracy: A steel rule resolves to roughly 0.5 mm. A vernier caliper marked 0.02 mm resolves to 0.02 mm. A 0 to 25 mm micrometer resolves 0.01 mm on the thimble, or 0.001 mm if it carries a vernier. A dial indicator reads 0.01 mm of relative movement but tells you nothing about absolute size without a reference. Asked to verify a 25.00 mm shaft with a tolerance of plus or minus 0.02 mm, the tolerance band is 0.04 mm wide: two divisions on that caliper, which is not enough to judge anything reliably. The workshop convention is that the instrument should resolve to about a tenth of the tolerance band, here 0.004 mm, so even the micrometer is marginal and comparison against gauge blocks is the defensible answer. The trap the item is built around is a digital display: showing four decimal places is a statement about resolution, not accuracy. An uncalibrated digital caliper will report 25.0000 mm with total confidence and be 0.03 mm out.
Closed loop: which element failed?: A room is meant to hold 21 degrees Celsius. A thermostat containing the sensor and the controller drives a valve on a radiator. The symptom: the room reaches 28 degrees Celsius and the valve stays open. Three explanations survive first inspection. The sensor reads low so the controller still believes the room is cold, the valve is mechanically jammed open, or the controller output has failed in the on state. One measurement separates them. Put an independent thermometer beside the thermostat. If the thermostat displays 17 degrees while the thermometer reads 28, the sensor is lying and everything downstream is behaving correctly. If the thermostat displays 28 and is still calling for heat, the sensor is fine and the fault is in the controller or the valve, which you then split by checking whether the valve actuator is being energised. The tempting non-answer is 'the room is too hot, so lower the setpoint'. That treats the symptom, and if the sensor reads seven degrees low the loop will simply settle seven degrees high again at the new setpoint.
Nameplates: read the qualifier, not just the number: A welding machine is rated 200 A at 40 percent duty cycle over a ten-minute period. That means four minutes of arc time and six minutes of cooling in every ten, at the full 200 A. It does not mean 40 percent of 200 A, and it does not mean 40 percent of an hour. Both wrong readings feel entirely natural, which is why they make good distractors. Run the machine continuously at 200 A and the thermal cut-out will open. The same discipline transfers across the whole trade: a hoist's working load limit is not its breaking load, a hose's working pressure is not its burst pressure, a motor's service factor describes a short-term overload allowance and not a continuous rating, and a pump curve's flow figure is quoted at a stated head. Whenever an item hands you a number in a table or on a plate, underline the qualifier printed next to it before you calculate anything; the wrong options are usually built by dropping exactly one qualifier.
Educational preparation only. Novus Learn does not administer official exams and does not guarantee scores or hiring outcomes.
Hazard recognition, safe sequencing, escalation, and risk controls.
Practise recognizing hazards and choosing a safe, proportionate response: protect people, control immediate exposure, use the correct reporting path, and verify that the control is effective.
What you should be able to do after this lesson:
Worked scenario: a damaged machine guard: A guard is loose before a scheduled run. Do not operate the machine or improvise a repair beyond your authorization. Keep people away, isolate or label the equipment only as procedure permits, report the defect to the responsible person, and wait for an approved inspection or repair. A deadline does not remove the hazard.
Risk-triage questions: Ask: what can cause harm, who is exposed now, how severe could the outcome be, what control is available, and who has authority to apply it? The safest answer is not always the most dramatic option; it is the option that controls the real exposure without creating a new hazard.
Educational preparation only. Novus Learn does not administer official exams and does not guarantee scores or hiring outcomes.
Evaluating workplace responses against role-relevant principles.
Learn a repeatable way to compare workplace responses: establish the facts, identify duties and risks, respect role boundaries, then choose a proportionate first action. This is educational preparation, not an official scoring guide.
What you should be able to do after this lesson:
Worked scenario: an unverified safety concern: A colleague reports a possible equipment fault while a deadline is approaching. First distinguish the known fact, the report, from the unverified cause. A strong response protects people and affected work, checks the concern through the right channel, tells the relevant lead, and records what was done. Ignoring the report underreacts; shutting down unrelated work or accusing someone before checking the facts overreacts.
Method: facts, duties, risks, response: Write four short notes before ranking options: what is known, who may be affected, which duty or boundary applies, and what safe next step is available now. Prefer an action that addresses the immediate issue and creates useful follow-through. Do not reward an option merely because it sounds decisive.
Educational preparation only. Novus Learn does not administer official exams and does not guarantee scores or hiring outcomes.
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