Formula sheet

The maths bench in one place.

Core electrical, electronics, audio, radio, timing, transformer, and battery formulas with short practical notes.

Safety first, always.

ElectroLab AI teaches theory, low-voltage electronics, and planning concepts. Mains voltage, switchboards, fixed wiring, high-current systems, and legal electrical work must only be performed by licensed electricians where required.

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Study flow

Use the formula sheet to understand the relationship, then use a calculator to check the number, then measure the real low-voltage circuit on the bench.

Core electrical

Ohm's Law

V = I x R

Voltage equals current times resistance.

Current

I = V / R

Useful before powering LEDs, coils, and loads.

Power

P = V x I

Heat and ratings start here.

Resistor heat

P = I^2 x R

Choose resistor wattage with margin.

Timing and resonance

RC time constant

tau = R x C

One tau is about 63 percent of the change.

RL time constant

tau = L / R

Current mostly settles after about five tau.

RLC resonance

f = 1 / (2pi sqrt(LC))

A starting point for filters and radio tuning.

Period

T = 1 / f

Time for one cycle of a repeating waveform.

Audio, waves, and power projects

First-order crossover

f = 1 / (2pi R C)

Approximate high-pass speaker crossover point.

Wavelength

wavelength = speed / frequency

Useful for sound and radio wave thinking.

Battery runtime

hours = Ah x V x efficiency / load W

Only an estimate; batteries are messy in real life.

Transformer ratio

Vs / Vp = Ns / Np

Ideal transformer voltage ratio.

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