Question

Partner name: II. Impedance ofan R-C circuit. [For capacitor in an AC Circui, see Chapter 31, pg. 1026 Consider the R-C circut shown in Figure: 3. Similar to the R-L circu a currert i(t)Icas(ut) is driven across the circuit using an AC volage source I. Write down the instantaneous voltage drop across the capackor v in terms of C. w, f and I. Hint:ec and q Cve Figure:3 2, write down the ampitude of the voltage drop across the capacitor (K) in terms of C, ω and L 3. Write vdt) in the form vc (t) =をcos(wt + φc). What is the phase of vc? What is the phase difference of Vef) and it? 4. Construct a diagram similar to Figure 2 for Vg and Ve. Label all of the vectors, the resultant and the angles ea and φ. Assume 0 < at < π/2. 5. One can write the ampitude of the resultant as V =広where Zis the magnitude of the impedance of the circuit. This is similar to what we have already seen in the series R-L circuit. Using your resut from question 11, what is the magnitude of the impedance of the series R-C circuit? Write your answer in terms of C, R and aa

Answer 1