Problem 3. Series RLC circuit The figure below shows a series RLC circuit with the output measured across the capacitor. The diagram includes two probes (V in a circle pointing to a wire). The left probe measures the input and the right probe measures the output voltage. Both are referenced to ground. a) Use impedances to derive the complex gain formula for this circuit, Vc(jw)/ VIN(jw). b) What general type of filter (high pass, low pass, etc.) is this filter circuit? c) Assume that R = 5.1 kN, L = 68 mH, and C = 33 µF. At what frequency does G(jw) become completely imaginary? R w Circuit for Problem 2

Problem 3. Series RLC circuit The figure below shows a series RLC circuit with the output measured across the capacitor. The diagram includes two probes (V in a circle pointing to a wire). The left probe measures the input and the right probe measures the output voltage. Both are referenced to ground. a) Use impedances to derive the complex gain formula for this circuit, Vc(jw)/ VIN(jw). b) What general type of filter (high pass, low pass, etc.) is this filter circuit? c) Assume that R = 5.1 kN, L = 68 mH, and C = 33 µF. At what frequency does G(jw) become completely imaginary? R w Circuit for Problem 2