Equations

Search formulas and solve by leaving one field blank.

Ohm

V = R * I

Core DC circuit sizing for voltage, resistance, and current.

Conductance

G = 1 / R

Relates resistance and conductance in network analysis.

Power

P = V * I

Power dissipation and consumption sizing.

Capacitance

C = Q / V

Capacitor sizing and stored charge estimation.

Inductance

VL = L * (dI/dt)

Coil modeling and current slew behavior.

Impedance

Z^2 = R^2 + X^2

Combines resistance and reactance in AC circuits.

Charge

Q = C * V

Stored charge in capacitors.

Frequency

f = 1 / T

Converts period to frequency.

Period

T = 1 / f

Converts frequency to period.

Link Margin

M = Gs + Ga - Ac - At

Link budget margin estimation for RF links.

Free Space Attenuation

At = 32.5 + 20*log10(d) + 20*log10(f)

Path loss estimation for RF distance and frequency.

Linear Attenuation

A = Vin / Vout

Input/output ratio in circuits and filters.

Attenuation (dB)

A_dB = 20*log10(Vin / Vout)

Voltage attenuation in decibels.

RC Cutoff Frequency

f_c = 1 / (2*pi*R*C)

Cutoff for RC low/high-pass filters.

LC Resonance

f0 = 1 / (2*pi*sqrt(L*C))

Resonant frequency in LC band-pass filters.

LC Q Factor

Q = f0 / BW

Quality factor for LC band-pass filters.

Bandwidth

BW = f_alta - f_baixa

Bandwidth between upper and lower cutoff frequencies.

Common Gate Gain

Av = gm * (RD || RL)

FET common gate stage gain.

Common Collector Gain

Av = (RE || RL) / ((RE || RL) + hib)

BJT emitter follower gain.

Common Drain Gain

Av = (RS || RL) / ((RS || RL) + (1/gm))

FET source follower gain.

Common Base Gain

Av = (RC || RL) / hib

BJT common base gain.

Common Source Gain

Av = -(RD || RL) / ((1/gm) + RS_ac)

FET common source gain.

Common Emitter Gain

Av = -(RC || RL) / (hib + RE_ac)

BJT common emitter gain.

JFET Shockley (ID)

ID = IDSS * (1 - Vgs / Vp)^2

Drain current from JFET transfer curve.

JFET Shockley (Vgs)

Vgs = Vp * (1 - sqrt(ID / IDSS))

Gate-source voltage from JFET transfer curve.

JFET Auto-Bias

IDq * Rs + Vp * (1 - sqrt(IDq / IDSS)) = 0

Self-bias Q-point using Shockley equation.