Two complex impedances Z, = 4+ j3 and Z, = 6+ j5 (a) Determine Z, +Z, . Write your answer in rectangular and polar forms. (b) Write each impedance (i.e., Z, and Z, ) in polar form. Show your method. When the above two impedances are connected in parallel, the Z,Z2 Z, + Z, (c) equivalent impedance is Z, Determine Z, in polar form.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 97E
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Two complex impedances Z, = 4+ j3 and Z, = 6+ j5
(а)
Determine Z, +Z, . Write your answer in rectangular and polar
forms.
(b)
Write each impedance (i.e., Z, and Z, ) in polar form. Show your
method.
(c)
When the above two impedances are connected in parallel, the
equivalent impedance is Z„
Z,z,
. Determine Z, in polar
Z, + Z,
form.
|(d)
Write Z, in trigonometric and exponential forms.
(e)
A voltage V = 17+ j10 (V) is now applied across the impedance
Z, giving rise to a current I given by
I =V/Z,
'T
Determine the current I in exponential form.
Transcribed Image Text:Two complex impedances Z, = 4+ j3 and Z, = 6+ j5 (а) Determine Z, +Z, . Write your answer in rectangular and polar forms. (b) Write each impedance (i.e., Z, and Z, ) in polar form. Show your method. (c) When the above two impedances are connected in parallel, the equivalent impedance is Z„ Z,z, . Determine Z, in polar Z, + Z, form. |(d) Write Z, in trigonometric and exponential forms. (e) A voltage V = 17+ j10 (V) is now applied across the impedance Z, giving rise to a current I given by I =V/Z, 'T Determine the current I in exponential form.
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