Question

It would be greatly appreciated if you could provide step by step solutions for the problems below.

Phasors and complex impedance 1. A resistor R and capacitor C are connected in series with an AC voltage source with frequency fand maximum voltage Vo. a. Find the complex impedance (in the form Z -R+jx). If the impedance is written in polar form (z - Zel*), find expressions for Z and gi Write your answers in terms of the variables R, C, and o (2f). b. If the voltage source is described by the phasor V Vet, and the current is (Use 1-wz and the described by-l ej( t-ф), find 1 properties of complex numbers.] in terms ofR, C, a and P c. Find the amplitude of the voltage across the capacitor, Vc, in terms of R, C, w, and Vo. d. IfR 5.0 Ω and C-770 μF, find the frequencies for which c-0.90 PO and PC- 0.10 Vo. [Note that the voltage across the capacitor is much larger for the lower frequency. If a load was placed across the capacitor, a sizeable signal would be transferred to the load only for lower frequencies - therefore connecting across a capacitor in an R-C circuit is known as a low-pass filter.]

Answer 1

Rand c t to WC

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