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Are network theorems (KVL, KCL, Thevenin, Norton, Superposition, Max Power Transfer) applicable on both DC and AC networks
The AC network is just a linearised (around an operating point) version of
the circuit, so the results apply. (Allowing for the fact that resistances may become impedances, etc.)
Yes, so long as the lumped circuit approximation is valid (or close enough for the case at hand).
Required, but never shown