My Toolz / Electronics
Interactive fundamentals

Electronics
from zero.

Voltage, current, resistance and power are enough to explain a surprising amount of practical electronics. Change the controls, watch the numbers move, and build intuition before memorizing formulas.

V voltage = electrical potentialI current = charge flowR resistance = oppositionP power = energy per second
01 · The four quantities

Think pressure, flow and restriction

Voltage (V) is the electrical potential difference that can push charge through a circuit. Current (I), measured in amperes, is the rate at which charge flows. Resistance (R), measured in ohms, opposes that flow. Power (P), measured in watts, tells you how quickly electrical energy is converted into heat, light, motion or computation.

Water analogy: voltage is similar to pressure, current to flow rate, and resistance to a narrow pipe. The analogy is imperfect, but useful for building intuition.

A circuit needs a closed path. An open switch breaks the path, so current stops. A short circuit removes too much resistance and can allow dangerously high current; protection devices and correct design exist for that reason.

02 · Ohm's law

V = I × R

For an ideal resistor, any two values determine the third. Move the sliders and observe how current and power react.

V = I × R
Current
20.0 mA
Power
120 mW

Increase voltage or reduce resistance to increase current.

03 · Power

P = V × I

P = V·I = I²·R = V²/R

Power is energy per second. In real hardware it determines heat, wire/component ratings and energy use. The three formulas are equivalent; use whichever matches the values you know.

Concrete example: a 60 W lamp running for 5 hours consumes 60 × 5 = 300 Wh = 0.3 kWh. Energy bills charge for energy (kWh), not instantaneous power alone.

Components have power limits. A resistor dissipating 0.4 W should not be treated as safe merely because its resistance value is correct if it is only rated for 0.25 W.

04 · Components

What each part does

Most circuits are combinations of a small set of building blocks.

+ | | −
Source / Battery

Provides the voltage that drives current through the circuit.

Examples: battery, USB supply, PC 12 V rail
/\/\/
Resistor Ω

Limits and controls current, dissipating electrical energy as heat.

Examples: LED current limiting, voltage dividers
▶| ✦
LED

Emits light when forward biased. It normally needs current limiting rather than being connected directly across a supply.

Examples: indicators, lighting
| |
Capacitor F

Stores energy in an electric field. Useful for filtering, smoothing and timing.

Examples: decoupling, supply smoothing, timing
oooo
Inductor H

Stores energy in a magnetic field and opposes rapid changes in current.

Examples: switching supplies, filters
▶|
Diode

Conducts strongly in one direction and blocks in the other within its ratings.

Examples: rectification, reverse-polarity protection
B C E
Transistor

An electrically controlled switch or amplifier. Billions of transistors form modern processors.

Examples: logic, motor driving, amplification
—/ —
Switch

Opens or closes the current path.

Examples: buttons, power switches
/\/↗
Potentiometer

An adjustable resistor, often used as a divider or control input.

Examples: volume, setpoints, dimming controls
Motor / Fan

Converts electrical energy into mechanical motion.

Examples: fans, pumps, actuators
05 · Series vs parallel

Same source, very different behavior

Two identical resistive loads in series share the supply voltage. In parallel, each branch receives the full supply voltage.

Series

💡
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Equivalent resistance adds: Req = R₁ + R₂. The same current flows through both loads.

Parallel

💡
💡

For equal resistors, Req = R/2. Each branch sees the full source voltage, so total source current is higher.

Practical consequence: household loads are wired in parallel so each appliance sees the rated supply voltage and can be switched independently.
06 · Practical tools

Turn formulas into design checks

LED series resistor

12 V fan power

07 · Cheat sheet

The formulas worth keeping

Ohm's lawV = I × R
I = V/R
R = V/I
PowerP = V×I
P = I²R
P = V²/R
Series resistanceReq = R₁ + R₂ + …
Current is the same through each element.
Parallel resistance1/Req = Σ(1/R)
Voltage is the same across each branch.
EnergyE = P×t
1 kWh = 1000 W used for 1 hour
Prefixes1 A = 1000 mA
1 kΩ = 1000 Ω
1 MΩ = 1,000,000 Ω