6. AC and phasors
Admittance
Formula
Tags
Detail
Admittance Y=1/Z inverts the magnitude and flips the angle sign.
Explore the idea
Variables
- peak (V)
- RMS (V)
- rad/s
- Hz
- rad
- Ω
- S.
Conditions
- Sinusoidal steady state; RMS phasors unless a peak is stated.
Intuitive explanation
For “Admittance”: the RMS phasor rotates at ω; its projection is the sinusoid and Z = R + jX summarizes the element.
Worked example
If , .
Common mistakes
- mixing peak with RMS
- using jωL with f in hertz and no 2π
- dropping the sign of −j/(ωC)
Frequently asked questions
- What must be checked before using the Admittance relation?
- Work in RMS, convert f to ω=2πf and keep reactance signs.
Also known as
- RMS phasor, impedance, reactance, admittance, sinusoidal steady state
Conventions
- V, rad/s, Ω or S according to the left-hand side
Last reviewed: 2026-09-19