Using a variable-frequency source, the maximum current in the LCR circuit (see figure, L=2 H, R=100 Ω) is 50 mA for V=5 sin(100t) V. The capacitance C used is μF.

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50. Maximum current occurs at resonance, so the source frequency equals ω₀: ω₀=100 rad/s. (Check: at resonance Iₚₑₐₖ=(V₀)/R=5/(100)=50 mA.) ω₀=1/(√LC)⇒ C=1/(ω₀² L)=1/(100²×2)=5×10⁻⁵ F=50 μF.

Using a variable-frequency source, the maximum current in the LCR circuit (see figure, L=2 H, R=100 Ω) is 50 mA for V=5 sin(100t) V. The capacitance C used is ______ μF.

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