GIU · Created by Omar Nader

Electrical Engineering I
Exam Prep

All 14 lectures · 10 tutorials · worked examples · SVG schematics

14
Lectures
10
Tutorials
8
Topic Pages
16+
Key Formulas

Course Assessment

30%
Midterm Exam
Written
15%
Quizzes
In-lecture
15%
Lab Work
Practical
10%
Tutorials
Attendance + work
30%
Final Exam
Written

Topics — Lecture Order

📐
Topic 1
Vector Analysis
Dot · Cross · Del (∇) · Gradient · Divergence · Curl
Lec 2–4 · Tut 1–4
⚡
Topic 2
Electrostatics
Coulomb's law · Electric field E · Field lines · Materials
Lec 3–4 · Tut 2–3
🔋
Topic 3
Potential & Flux
Voltage V · E=−∇V · Flux density D · Capacitors
Lec 5–6 · Tut 4
🔌
Topic 4
DC Circuits
Current · Ohm's law · Resistance · Power · EMF
Lec 7–9 · Tut 5–6
🔁
Topic 5
Kirchhoff's Laws
KCL · KVL · Voltage divider · Current divider
Lec 8 · Tut 7–8
🧲
Topic 6
Magnetics & Maxwell
B=μH · Faraday · Lenz · Solenoid · Transformer · Maxwell eqs
Lec 10–11 · Tut 9
〰️
Topic 7
Inductors & Capacitors
v-i relations · Energy · Series/parallel · Impedance ZL ZC
Lec 12–13 · Tut 10
📈
Topic 8
RC & RL Transients
Time constant τ · Charging/discharging · 5τ rule · Impedance
Lec 14

Essential Formula Sheet

Coulomb's Law
F = kQ₁Q₂/r²
k = 9×10⁹ N·m²/C²
Electric Field
E = F/Q = kQ/r²
V/m — field at a point
E from Potential
E = −∇V
Gradient of voltage
Flux Density
D = εE = ε₀εᵣE
C/m² ; ε₀ = 8.85×10⁻¹² F/m
Capacitance
C = εA/d
Parallel plate
Ohm's Law
V = IR
Resistance R = L/σS (Ω)
Power
P = VI = I²R = V²/R
Watts (W)
KCL
ΣI_in = ΣI_out
At any node
KVL
ΣΔV = 0
Around any closed loop
Magnetic Flux Density
B = μH = μᵣμ₀H
Tesla ; μ₀ = 4π×10⁻⁷ H/m
Faraday's Law
Vemf = −N·dΦ/dt
Induced EMF (volts)
Solenoid Inductance
L = μN²A/l
Henry (H)
Inductor v-i
v = L · di/dt
DC steady state → short
Capacitor v-i
i = C · dv/dt
DC steady state → open
Transient Response
x(t) = Xf + (X₀−Xf)e^(−t/τ)
τ = RC or L/R
Transformer Ratio
V₁/V₂ = N₁/N₂
Step-up if N₂ > N₁

Exam Strategy

⚡ Units first

Always write units on every line. Convert cm→m, cm²→m², mH→H before substituting into formulas.

∇ Del operator

Gradient → scalar to vector. Divergence → vector to scalar. Curl → vector to vector. Know these cold.

DC steady state

In DC: Inductor = short circuit, Capacitor = open circuit. This simplifies transient final-value Xf.

H vs B for wires

H = I/2πρ is independent of μ. B = μH depends on μ. Classic MCQ trap!

Lenz's Law sign

The −N in Vemf = −N·dΦ/dt means the induced current always opposes the change in flux.

5τ rule

After 5 time constants, the transient is 99.3% complete — circuit reached steady state. Always use this for "fully charged" questions.

EE-I Exam Prep · GIU Cairo · Created by Omar Nader