Semiconductor engineering tools

Focused calculators for electrical fundamentals, device physics, manufacturing, and packaging. Each one shows the formula, its assumptions, a worked example, and links to the concept behind it.

Electrical fundamentals

Ohm's law

Solve for voltage, current, or resistance in a resistive circuit.

V = I · R

Power dissipation

Resistive power from voltage, current, or resistance.

P = V · I

RC time constant

Time constant and −3 dB cutoff of a single-pole RC network.

τ = R · C

Semiconductor physics

Built-in potential

Junction potential of an abrupt PN junction from doping.

V_bi = (kT/q) · ln(N_a N_d / n_i²)

Manufacturing

Die per wafer

Estimate gross die count using the de Vries approximation.

DPW ≈ πd²/4S − πd/√(2S)

Wafer yield

Die yield from defect density (Poisson or Murphy model).

Y = e^(−D·A)

Packaging & thermal

Junction temperature

Junction temperature rise from power and thermal resistance.

T_j = T_a + P · θ_JA

Power density

Areal power density of a die or package.

P_density = P / A