Low Pass Filter Gain

An R L C RLC low pass filter takes a sinusoidal voltage input V S V_S and produces an output voltage V o u t V_{out} . At angular frequency ω \omega , what is the ratio of the magnitude of V o u t V_{out} to the magnitude of V S V_S ?

Details and Assumptions:
1) R = 0.5 R = 0.5
2) L = 1 L = 1
3) C = 1 C = 1
4) ω = 1 \omega = 1


The answer is 0.5.

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