Waves, Electricity & Magnetism

ADULT Physics Fine Tuning

Physics shows design

SCI Physical Primary 01

Physical science

Understanding the Invisible Forces of Creation
Grades 10-11 | High School Physics

Sacred Names Pronunciation Guide

Yahuah (yah-HOO-ah) - The Father's covenant name, meaning "I AM"
Yahusha (yah-HOO-sha) - The Son's name, meaning "Yah is salvation"
Elohim (el-oh-HEEM) - Hebrew word for God (plural majesty)
Ruach HaKodesh (ROO-akh hah-KOH-desh) - The Holy Spirit

Welcome to Waves, Electricity & Magnetism

In this course, we explore the invisible forces that Yahuah built into His creation. Light, sound, electricity, and magnetism are all around us—powering our technology, enabling communication, and revealing the intricate design of the physical world.

These phenomena follow precise mathematical laws, demonstrating that the universe operates according to consistent, rational principles. As we study these forces, we'll see both what mainstream science teaches and how these observations point to an intelligent Creator.

Job 38:35
"Canst thou send lightnings, that they may go, and say unto thee, Here we are?"

Lesson 1: Introduction to Waves

RECEIVE: What is a Wave?

A wave is a disturbance that transfers energy from one place to another without transferring matter. The medium (water, air, etc.) vibrates, but the energy moves through it.

Wave Types:

  • Transverse waves: Particles move perpendicular to wave direction (light, water surface)
  • Longitudinal waves: Particles move parallel to wave direction (sound, compression)
Wave Properties

Wavelength (λ): Distance between two consecutive crests/troughs

Frequency (f): Number of waves passing a point per second (Hz)

Amplitude (A): Maximum displacement from rest position

Period (T): Time for one complete wave cycle (T = 1/f)

v = f × λ

Wave speed = frequency × wavelength

Waves as Design Evidence

The wave nature of light and sound allows for complex communication. Our ears are precisely tuned to detect longitudinal sound waves, while our eyes detect transverse electromagnetic waves. The fine-tuning required for these systems to work together suggests purposeful design.

RECALL: Wave Calculations

Calculate using v = fλ:

1. A wave has frequency 500 Hz and wavelength 0.68 m. Find the wave speed.
v =
2. Sound travels at 340 m/s. If a note has frequency 440 Hz (A above middle C), what is its wavelength?
λ =
3. Radio waves travel at 3 × 10⁸ m/s with wavelength 3 m. What is the frequency?
f =

Identify each as transverse (T) or longitudinal (L):

4. Sound waves in air
5. Light waves
6. Ocean surface waves

Lesson 2: Sound Waves

RECEIVE: The Physics of Sound

Sound is a longitudinal mechanical wave that requires a medium to travel. Sound cannot travel through a vacuum.

Medium Speed of Sound
Air (20°C) 343 m/s
Water 1,480 m/s
Steel 5,960 m/s

Properties of Sound:

  • Pitch: Determined by frequency (higher frequency = higher pitch)
  • Volume: Determined by amplitude (larger amplitude = louder)
  • Quality/Timbre: Determined by wave shape (harmonics)
Psalm 19:3-4
"There is no speech nor language, where their voice is not heard. Their line is gone out through all the earth, and their words to the end of the world."

RECALL: Sound Concepts

Answer the following:

1. Why does sound travel faster in solids than in gases?
2. A tuning fork vibrates at 256 Hz. If sound speed is 340 m/s, find the wavelength.
λ =
3. Why can't astronauts hear each other in space without radios?

Home Lab: Resonance

Materials: Two identical glass bottles, water

1. Fill both bottles with the same amount of water

2. Blow across one bottle to make a tone

3. Hold the second bottle close—does it vibrate?

4. This is resonance: the second bottle vibrates at the same natural frequency!

Lesson 3: The Electromagnetic Spectrum

RECEIVE: Light and Beyond

Electromagnetic (EM) waves are transverse waves that can travel through a vacuum. They all travel at the speed of light: c = 3 × 10⁸ m/s.

Type Wavelength Uses
Radio waves > 1 m Communication, broadcasting
Microwaves 1 mm - 1 m Cooking, radar, cell phones
Infrared 700 nm - 1 mm Heat, night vision, remotes
Visible light 400 - 700 nm Vision (ROYGBIV)
Ultraviolet 10 - 400 nm Sterilization, vitamin D
X-rays 0.01 - 10 nm Medical imaging
Gamma rays < 0.01 nm Cancer treatment, sterilization
What Textbooks Teach:

Light is just one part of the electromagnetic spectrum, which arose naturally through physical processes. The sun emits all wavelengths through nuclear fusion.

Biblical Perspective:

Yahuah created light on Day 1, before the sun was made on Day 4. The precise tuning of visible light to match human eye sensitivity suggests design. Our atmosphere filters harmful radiation while allowing beneficial wavelengths through.

RECALL: EM Spectrum

Complete the following:

1. All EM waves travel at m/s in a vacuum.
2. As wavelength decreases, frequency and energy .
3. Calculate the frequency of red light (λ = 700 nm = 7 × 10⁻⁷ m):
f = Hz
4. Which type of EM radiation has the most energy?

Lesson 4: Reflection and Refraction

RECEIVE: Light Behavior

Law of Reflection
θᵢ = θᵣ

Angle of incidence equals angle of reflection

(measured from the normal—perpendicular to surface)

Snell's Law (Refraction)
n₁ sin θ₁ = n₂ sin θ₂

n = index of refraction (ratio of light speed in vacuum to speed in medium)

n_water = 1.33 | n_glass ≈ 1.5 | n_diamond = 2.42

Why Refraction Occurs:

Light slows down when entering a denser medium, causing it to bend toward the normal. When light exits to a less dense medium, it speeds up and bends away from the normal.

Example: Light enters water at 45°
n₁ sin θ₁ = n₂ sin θ₂
(1.00) sin 45° = (1.33) sin θ₂
0.707 = 1.33 sin θ₂
sin θ₂ = 0.532
θ₂ = 32.1°

RECALL: Calculate Refraction

Solve the following:

1. Light hits a mirror at 35° to the normal. At what angle does it reflect?
θᵣ =
2. Light enters glass (n = 1.5) from air at 30°. Find the refracted angle.
θ₂ =
3. Why does a straw in water appear bent?

Lesson 5: Electric Charge

RECEIVE: The Basics of Electricity

Electric charge is a fundamental property of matter. There are two types:

  • Positive (+): Protons carry positive charge
  • Negative (-): Electrons carry negative charge

Key principle: Like charges repel; opposite charges attract.

Coulomb's Law
F = k(q₁q₂)/r²

F = electric force (N)

k = 8.99 × 10⁹ N·m²/C² (Coulomb's constant)

q = charge (Coulombs)

r = distance between charges (m)

Elementary charge: e = 1.6 × 10⁻¹⁹ C (charge of one proton or electron)

Electric Forces as Design

The electric force is incredibly strong—about 10³⁶ times stronger than gravity! Yet Yahuah balanced positive and negative charges so precisely that atoms are stable and matter holds together. A slight imbalance would cause everything to fly apart or collapse. This fine-tuning points to intentional design.

RECALL: Electric Charge Problems

Apply Coulomb's Law:

1. Two charges of +2 μC and +3 μC are 0.1 m apart. Calculate the force.
(1 μC = 10⁻⁶ C)
F = N
2. Is this force attractive or repulsive?
3. If the distance is doubled, what happens to the force?

Lesson 6: Electric Current and Circuits

RECEIVE: Flowing Charge

Electric current (I) is the flow of electric charge through a conductor.

Current = Charge / Time

Current
I = Q / t

I = current (Amperes, A)

Q = charge (Coulombs, C)

t = time (seconds)

Circuit Components:

  • Power source: Provides energy (battery, generator)
  • Conductor: Wire that carries current
  • Load: Device that uses energy (light bulb, motor)
  • Switch: Opens/closes the circuit

Circuit Types:

  • Series: Components connected in a single path (one breaks = all stop)
  • Parallel: Components connected in multiple paths (one breaks = others work)

RECALL: Current Calculations

Solve the following:

1. If 15 C of charge flows through a wire in 5 seconds, what is the current?
I = A
2. A current of 2 A flows for 10 seconds. How much charge passed through?
Q = C
3. In a series circuit, if one light bulb burns out, what happens to the others?

Lesson 7: Voltage and Resistance

RECEIVE: Ohm's Law

Voltage (V) = Electric potential difference; the "push" that moves charge

Resistance (R) = Opposition to current flow; measured in Ohms (Ω)

Ohm's Law
V = I × R

V = Voltage (Volts, V)

I = Current (Amperes, A)

R = Resistance (Ohms, Ω)

Example: A 60Ω resistor with 2A current

V = IR = (2 A)(60 Ω) = 120 V

Combining Resistors

Series: R_total = R₁ + R₂ + R₃ + ...

Parallel: 1/R_total = 1/R₁ + 1/R₂ + 1/R₃ + ...

RECALL: Ohm's Law Problems

Use V = IR:

1. A 100Ω resistor is connected to 12 V. Find the current.
I = A
2. A circuit has 3 A current and 40 Ω resistance. Find the voltage.
V = V
3. Two 10Ω resistors are connected in series. Find total resistance.
R_total = Ω
4. Two 10Ω resistors are connected in parallel. Find total resistance.
R_total = Ω

Lesson 8: Electric Power

RECEIVE: Energy Usage

Electric Power Formulas
P = I × V
P = I²R
P = V²/R

P = Power (Watts, W)

Electrical Energy
E = P × t

E = Energy (Joules or kilowatt-hours)

1 kWh = 1000 W × 1 hour = 3,600,000 J

Example: Cost of running a light bulb

A 60 W bulb runs for 5 hours at $0.12/kWh.

Energy = 60 W × 5 h = 300 Wh = 0.3 kWh

Cost = 0.3 kWh × $0.12 = $0.036 (about 4 cents)

RECALL: Power Calculations

Calculate power and energy:

1. A device draws 5 A at 120 V. What is its power?
P = W
2. A 1500 W heater runs for 3 hours. How much energy does it use (in kWh)?
E = kWh
3. At $0.15/kWh, what does it cost to run the heater for 3 hours?
Cost = $

Lesson 9: Magnetism

RECEIVE: Magnetic Fields

Magnetic poles: Every magnet has a north and south pole.

  • Like poles repel; opposite poles attract
  • Magnetic poles always come in pairs (no magnetic monopoles)
  • Breaking a magnet creates two smaller magnets, each with N and S poles

Magnetic Field (B): A region around a magnet where magnetic force acts.

Field lines go from North pole to South pole outside the magnet.

Earth's Magnetic Field

Earth has a magnetic field that protects us from harmful solar radiation. This field is generated by electric currents in the molten iron core. Scientists observe that Earth's magnetic field is decaying—losing strength at a measurable rate. If extrapolated backwards, this suggests the earth cannot be billions of years old, as the field would have been impossibly strong in the past.

Job 26:7
"He stretcheth out the north over the empty place, and hangeth the earth upon nothing."

RECALL: Magnetism Concepts

Answer the following:

1. What happens when you bring two north poles together?
2. If you cut a magnet in half, how many poles does each piece have?
3. What materials are attracted to magnets?
4. Why is Earth's magnetic field important for life?

Lesson 10: Electromagnetism

RECEIVE: Electricity Creates Magnetism

Key Discovery: Moving electric charges create magnetic fields!

  • A current-carrying wire produces a circular magnetic field around it
  • Coiling the wire (solenoid) concentrates the field
  • Adding an iron core creates an electromagnet

Right-Hand Rule: Point thumb in direction of current flow; fingers curl in direction of magnetic field.

Applications of Electromagnets:

  • Electric motors
  • Speakers and headphones
  • MRI machines
  • Junkyard cranes
  • Hard drives

RECALL: Electromagnetism

Answer the following:

1. How can you make an electromagnet stronger? (Name two ways)
2. What advantage does an electromagnet have over a permanent magnet?
3. Name one device that uses electromagnets:

Lesson 11: Electromagnetic Induction

RECEIVE: Magnetism Creates Electricity

Faraday's Discovery: A changing magnetic field induces (creates) an electric current!

  • Moving a magnet through a coil induces current
  • The faster the motion, the greater the current
  • More coils = more voltage

This principle powers:

  • Generators: Convert mechanical energy to electrical energy
  • Transformers: Change voltage levels
  • Induction charging: Wireless phone charging
How Generators Work:
  1. Mechanical energy spins a coil of wire
  2. The coil rotates in a magnetic field
  3. Changing magnetic flux induces current
  4. Electrical energy is produced!

The Unity of Electricity and Magnetism

The relationship between electricity and magnetism is one of the most elegant features of physics. Moving charges create magnetic fields, and changing magnetic fields create electric currents. This deep connection was unified mathematically by Maxwell's equations. Such elegant mathematical relationships suggest a rational, orderly Creator.

RECALL: Induction

Answer the following:

1. What three factors affect the induced voltage in a generator?
2. What is the energy conversion in a generator?
3. What is the energy conversion in a motor?

Lesson 12: Wave-Particle Duality

RECEIVE: The Strange Nature of Light

One of the most puzzling discoveries in physics: Light behaves as both a wave AND a particle!

  • Wave behavior: Diffraction, interference, refraction
  • Particle behavior: Photoelectric effect, quantized energy
Photon Energy
E = hf

E = energy of photon (J)

h = Planck's constant = 6.63 × 10⁻³⁴ J·s

f = frequency (Hz)

What Textbooks Teach:

Quantum mechanics shows that reality at small scales is fundamentally random and probabilistic. The wave-particle duality reflects the limits of human concepts to describe quantum reality.

Biblical Perspective:

The strange behavior of light at the quantum level may simply exceed our ability to fully comprehend Yahuah's creation. His ways are higher than our ways (Isaiah 55:9). The apparent "weirdness" may reflect the limits of human understanding, not the absence of design.

RECALL: Photon Energy

Calculate photon energy:

1. Calculate the energy of a photon with frequency 5 × 10¹⁴ Hz.
E = J
2. Which has more energy: a red photon or a blue photon?
3. Why?

Lesson 13: Applications of Electromagnetism

RECEIVE: Technology in Action

Electric Motors: Convert electrical energy to mechanical energy

  • Current flows through coil in magnetic field
  • Magnetic force causes rotation
  • Used in: fans, appliances, cars, tools

Transformers: Change voltage levels using induction

  • Step-up: Increases voltage (power transmission)
  • Step-down: Decreases voltage (household use)
  • Power plants generate at high voltage for efficiency
Transformer Equation
V₁/V₂ = N₁/N₂

V = voltage, N = number of coils

Wireless Communication:

  • Radio transmitter: converts sound to EM waves
  • Radio receiver: converts EM waves back to sound
  • Wi-Fi, Bluetooth, cell phones: all use EM waves

RECALL: Applications

Answer the following:

1. A transformer has 100 coils on the primary and 500 on the secondary. If input is 120 V, what is output?
V₂ = V
2. Is this a step-up or step-down transformer?
3. Name two devices in your home that use electric motors:

Lesson 14: Review and Reflection

RECEIVE: Connecting the Concepts

What We've Learned:

  • Waves transfer energy through oscillations
  • Light is an electromagnetic wave that behaves as both wave and particle
  • Electric charge creates forces and can flow as current
  • Ohm's Law relates voltage, current, and resistance
  • Electricity and magnetism are deeply connected
  • Electromagnetic induction powers our technology
Colossians 1:17
"And he is before all things, and by him all things consist."

The Lawgiver Behind the Laws

Throughout this course, we've seen physical laws that govern waves, electricity, and magnetism. These laws are consistent, mathematical, and predictable. The existence of such laws—described by elegant equations that humans can understand—points to a rational Lawgiver. As Psalm 19 says, the heavens declare His glory, and so does the electromagnetic force that holds atoms together.

RESPOND: Final Reflection

Write a paragraph explaining how studying physics has increased your appreciation for Yahuah's creation:

Which physics concept from this course do you find most amazing? Why?

Answer Key for Parents/Teachers

Lesson 1: Waves

1. v = 500 × 0.68 = 340 m/s | 2. λ = 340/440 = 0.77 m | 3. f = 3×10⁸/3 = 1×10⁸ Hz

4. L | 5. T | 6. T (surface waves are actually a combination)

Lesson 2: Sound

1. Molecules are closer together in solids, allowing faster energy transfer

2. λ = 340/256 = 1.33 m

3. Space is a vacuum; sound requires a medium

Lesson 3: EM Spectrum

1. 3 × 10⁸ m/s | 2. increases, increases | 3. f = 3×10⁸ / 7×10⁻⁷ = 4.3 × 10¹⁴ Hz | 4. Gamma rays

Lesson 4: Reflection and Refraction

1. θᵣ = 35° | 2. sin θ₂ = sin 30°/1.5 = 0.333, θ₂ = 19.5°

3. Light bends when passing between air and water, making the straw appear displaced

Lesson 5: Electric Charge

1. F = (8.99×10⁹)(2×10⁻⁶)(3×10⁻⁶)/(0.1)² = 5.4 N

2. Repulsive (both positive)

3. Force decreases to 1/4 (inverse square)

Lesson 6: Current

1. I = 15/5 = 3 A | 2. Q = 2 × 10 = 20 C

3. They all go out (series = single path)

Lesson 7: Ohm's Law

1. I = 12/100 = 0.12 A | 2. V = 3 × 40 = 120 V

3. R = 10 + 10 = 20 Ω | 4. 1/R = 1/10 + 1/10 = 2/10, R = 5 Ω

Lesson 8: Power

1. P = 5 × 120 = 600 W | 2. E = 1.5 × 3 = 4.5 kWh | 3. Cost = 4.5 × 0.15 = $0.675

Lesson 9: Magnetism

1. They repel | 2. Two poles each (still N and S)

3. Iron, nickel, cobalt (ferromagnetic materials)

4. Deflects harmful solar radiation

Lesson 10: Electromagnetism

1. More current, more coils, iron core

2. Can be turned on/off

3. Various answers: speakers, motors, MRI, etc.

Lesson 11: Induction

1. Speed of motion, number of coils, strength of magnetic field

2. Mechanical → Electrical | 3. Electrical → Mechanical

Lesson 12: Wave-Particle Duality

1. E = (6.63×10⁻³⁴)(5×10¹⁴) = 3.3 × 10⁻¹⁹ J

2. Blue | 3. Blue has higher frequency, so higher energy (E = hf)

Lesson 13: Applications

1. V₂ = 120 × (500/100) = 600 V | 2. Step-up

3. Various: refrigerator, washing machine, fan, blender, etc.

Jeremiah 31:35
"Thus saith Yahuah, which giveth the sun for a light by day, and the ordinances of the moon and of the stars for a light by night."