Final answer:
The amplitude of the voltage across a resistor, VR, can be expressed as VC0RΩC, utilizing the relationship between peak current, capacitive reactance, and Ohm's Law.
Step-by-step explanation:
The amplitude Vᵣ of the voltage across a resistor in an RLC circuit can be determined using Ohm's Law, which states that Vᵣ = I0R, where I0 is the peak current through the circuit, and R is the resistance. To express Vᵣ in terms of VC0, C, Ω, and R, we can utilize the relationship VC0 = I0XC, where X is the capacitive reactance, X = 1 / (ΩC). Substituting I0 = VC0 / XC into the equation for VR, we get Vᵣ = (VC0 / XC)ᵣ = VC0ᵣΩC.