In the shown series RC circuit, the resistor- and capacitor-voltage amplitudes are equal. With R=1 kΩ, C=100 μF and source 100cos(ω₀t) V, find ω₀ in rad/s to one decimal place.
Both elements carry the same sinusoidal current, so equal voltage amplitudes require equal impedance magnitudes: R=1/(ω₀C). Therefore ω₀=1/(RC)=1/(1000×100×10⁻⁶)=10.0 rad/s. Source amplitude cancels from the equality.
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