A resistor, inductor, and capacitor are connected in parallel to an ac source with voltage amplitude V
Question:
A resistor, inductor, and capacitor are connected in parallel to an ac source with voltage amplitude V and angular frequency ?. Let the source voltage be given by ? = V cos ?t.
(a) Show that the instantaneous voltages ?R, ?L, and ?C at any instant are each equal to ? and that i = iR + iL + iC, where I is the current through the source and iR, iL, and IC, are the currents through the resistor, the inductor, and the capacitor, respectively.
(b)What are the phases to represent i, iR, iL and iC with respect to ?? Use current phasor to represents I, iR, iL, and iC in a phasor diagram, show the phases of the four currents with respect to ?.
(c)Use the phasor diagram of part (b) to show that the current amplitude I for the current I through the source is given by
(d) Show that the result of part (c) can be written as
Step by Step Answer:
University Physics with Modern Physics
ISBN: 978-0321696861
13th edition
Authors: Hugh D. Young, Roger A. Freedman, A. Lewis Ford