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UAT-UK SPEC: P1MODULE: PHYSICSTOPIC ID: ARCH-P-02

Electrical Power Dissipation (P = IV = I²ᴿ = V²/R), Grid Efficiency & Energy (E = VIt)

Master Electrical Power Dissipation (P = IV = I²ᴿ = V²/R), Grid Efficiency & Energy (E = VIt) on the ESAT Physics paper. Traditional classroom derivations waste valuable seconds. Using the 2-step Sub-90 invariant elimination method compresses solve time to 40s, saving +100s per question.

Standard Classroom Time
140s
Textbook multi-line derivations bleed exam clock
Sub-90 Target Pace
40s
Comfortably below the 88.8s per-question limit
Time Saved for Review
+100s
Banks clock buffer across 27 questions

2-Step Sub-90 Shortcut Formula

How to eliminate intermediate algebra and solve under 45 seconds.

Launch Interactive Lesson
STEP 1 • SETUP INVARIANT (LINE 1)10–15s
Line 1 (Wasted Power): Pwaste=(1−0.15)×200=170 WP_{\text{waste}} = (1 - 0.15) \times 200 = 170\text{ W}.

Establish the structural invariant and eliminate impossible options immediately.

STEP 2 • FAST SOLVE (LINE 2)15–25s
Line 2 (Multiply by 60t60t): Ewaste=170×(5×60)=51000 JE_{\text{waste}} = 170 \times (5\times 60) = 51000\text{ J} (25s).

Evaluate the simplified expression using integer factoring or unit elimination.

Distractor Trap Forensics

The predictable cognitive traps engineered by examiners into the wrong options.

TRAP #1subsystem_isolation_trap

Using P(loss) = V(supply)² / 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.

Sub-90 Fix: Test invariants before expanding equations.
TRAP #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).

Sub-90 Fix: Test invariants before expanding equations.
TRAP #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.

Sub-90 Fix: Test invariants before expanding equations.

Try 1 Timed Question: Electrical Power Dissipation (P = IV = I²ᴿ = V²/R), Grid Efficiency & Energy (E = VIt)

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Full Lesson All 15 Questions (ARCH-P-02)
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ARCH-P-02: Electrical Power Dissipation (P = IV = I²ᴿ = V²/R), Grid Efficiency & Energy (E = VIt) (Sample)Physics
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SUB-90 ZONE (<40S)
0.0s40s Sub-9090s ESAT Budget150s Classroom
Question 1 of 1ARCH-P-02 (6-Card Lesson)Format: Standard 5-Option
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Question 1 of 1 • 90s Target

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