AM Wave (Instantaneous Voltage) (c(t) = A_c(1 + μ cos ω_m t) cos ω_c t)

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c(t) = A_c(1 + μ cos ω_m t) cos ω_c t

What each symbol means

SymbolWhat it stands for
μModulation index
A_cUnmodulated carrier amplitude (V)
c(t)Instantaneous voltage of the AM wave (V)
ω_cAngular frequency of carrier (rad/s)
ω_mAngular frequency of message (rad/s)

When to use this

Standard AM with sinusoidal modulation; envelope varies as A_c|1 + μ cos ω_m t|.