Use this electronics calculation for a first-pass component, converter, signal, motor, or sensor estimate when the stated operating conditions and units match the device data.

Lumens (lm)

Required number input.

Solid Angle Steradians (sr)

Required number input.

Average luminous intensity in candela from lumens emitted into a known solid angle; assumes uniform angular distribution. The tool evaluates the supplied inputs together and returns the named outputs below; it does not infer omitted operating conditions or change the units shown.^[1]

Candela (cd)

The resulting candela returned as a number.

• LED forward voltage, current, power, efficacy, intensity, wavelength, and viewing angle depend on junction temperature, binning, drive waveform, optics, aging, and the manufacturer's measurement convention. Thermal design and absolute maximum ratings remain separate.
• Use finite inputs in the displayed units and preserve more precision than the final presentation requires. Independently verify safety-critical, financial, compliance, or production decisions.

Check the result against the current datasheet and worst-case operating corners, then verify the circuit or measurement with simulation and bench testing where failure matters.

• LED Viewing Angle Intensity

  LED off-axis luminous intensity under an empirical cosine-power angular model calibrated by the half-intensity angle.

• ADC Quantization Error Bound

  Calculate the ideal rounding quantizer's maximum absolute error as half an ADC LSB. Assumes a uniform quantizer and input within the conversion range; offset, gain, and noise errors are excluded.

• Display Brightness Nits

  Average luminance of an ideal Lambertian emitter from luminous flux and emitting surface area.