A student was designing a passive tuned filter using a series RLC circuit with R 10V,

A student was designing a passive tuned filter using a series RLC circuit with R ¼ 10V, L ¼ 10 mH, and C = 0.025mF. When he connected the output of the filter across the capacitor he was surprised by an output near the cutoff point that was greater than the input signal. Since the filter was passive he was quite perplexed. Explain how this can be.