RC-1

RC Filter: Frequency Response

Consider the circuit below. The input source voltage is given as V_in(t) = V_scos(ωt) where ω is 50 rad/s. The resistor is denoted by R₁. The capacitor is denoted by C₁. The output voltage V_o(t) is computed across the capacitor. Compute the transfer function

H (j ω) = \frac{V_{o} (j ω)}{V_{i n} (j ω)}