UAT-UK SPEC CODE: P1 (Electricity)ASSUMED MATHS 1 PREREQUISITE: M1.2FREQUENCY: MEDIUM

Electrical Power Dissipation (P = IV = I^2R = V^2/R), Grid Efficiency & Energy (E = VIt)

Deconstructed from 11 past UAT-UK questions (4.72% of all historical Physics papers). Students using standard A-Level classroom methods spend an average of 140s on this archetype—blowing past the 90s ESAT budget. Using the 2-line Sub-90 heuristic below compresses solve time to 40s (saving 100s per question).

Historical Frequency
11 Past Qs
4.72% of Physics
Classroom Trap Time
140s
+50s over 90s budget
Sub-90 Target Time
40s
Banks +100s on the clock
Dominant UI Format
5-Option A–E
Maths 1 Skill: M1.2

Card 1 & Card 2 Preview: The Classroom Time Trap vs. Sub-90 2-Line Rule

Excerpted from our interactive 6-Step Topic Lesson for ARCH-P-02.

Launch All 6 Active-Recall Cards
CARD 1 OF 6 • THE CLASSROOM TIME TRAP (140s)
Why Students Bleed Time:
First compute total energy input Ein=Pt=200×(5×60)=60000 JE_{\text{in}} = P t = 200 \times (5 \times 60) = 60000\text{ J}. Next compute useful output Euseful=15%×60000=9000 JE_{\text{useful}} = 15\% \times 60000 = 9000\text{ J}. Subtracting gives Ewasted=60000−9000=51000 JE_{\text{wasted}} = 60000 - 9000 = 51000\text{ J} (~120s).
In 11 past UAT-UK questions (4.72% of Physics), candidates lose 100s by substituting supply terminal voltage v_supply instead of cable voltage drop δv into v²/r. Instead, apply P1 with Maths 1 skill M1.2.
CARD 2 OF 6 • THE 2-LINE SUB-90 HEURISTIC (<40s)
Line 1 (Wasted Power): Pwaste=(1−0.15)×200=170 WP_{\text{waste}} = (1 - 0.15) \times 200 = 170\text{ W}.
**Line 2 (Multiply by 60t60t):** Ewaste=170×(5×60)=51000 JE_{\text{waste}} = 170 \times (5\times 60) = 51000\text{ J} (25s).
Sanity & Limit Check: Verify units/signs against subsystem_isolation_trap (Using P_loss = V_supply² / R_cable instead of I² * R_cable for transmission cable heating) and unit_or_prefix_mismatch (Forgetting to multiply power (W) by 60 when asked for energy transferred per minute).

Examiner Distractor Blueprint for ARCH-P-02

FOIL #1subsystem_isolation_trap
Using P_loss = V_supply² / R_cable instead of I² * R_cable for transmission cable heating

Substituting supply terminal voltage V_supply instead of cable voltage drop ΔV into V²/R.

Open Subsystem Isolation Trap Clinic
FOIL #2unit_or_prefix_mismatch
Forgetting to multiply power (W) by 60 when asked for energy transferred per minute

Leaving time in minutes instead of converting to seconds (J = W * s).

Open Unit / Prefix Mismatch Clinic
FOIL #3factor_of_two_or_stoichiometry_trap
Scaling P = I²*R linearly with I (2x) instead of quadratically (4x) when current doubles

Omitting the square on current I in P = I²*R.

Open Factor-of-2 / Stoichiometry Clinic
FOIL #4intermediate_stop_trap
Outputting useful energy received instead of wasted energy P_in*t - P_out*t

Stopping at output energy without subtracting from input energy.

Open Intermediate Stop Trap Clinic

Try 1 Live Sample Question Under the 90-Second Stopwatch

Press W to open the 2-line dry-wipe scratchpad, select A–E, and lock in to reveal the Dual-View solution.

sub90 ESAT Stopwatch Emblemsub90 ESAT
ARCH-P-02: Electrical Power Dissipation (P = IV = I^2R = V^2/R), Grid Efficiency & Energy (E = VIt) (Sample)Physics
00:00.0
SUB-90 ZONE (<40S)
0.0s40s Sub-9090s ESAT Budget150s Classroom
Question 1 of 1ARCH-P-02 (6-Card Lesson)Format: Standard 5-Option
Right-click any option to cross out • Keys A–E + Enter
Question 1 of 1 • 90s Target

Ready to Start Question 1?

The question stem, diagram, and answer options are hidden behind this pre-start gate. When you click below, the question will reveal and your 90-second split stopwatch will immediately begin ticking.

Physics•ARCH-P-02•Standard 5-Option
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