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Solve the Problem I\mathrm { I } In a Circuit with Voltage

Question 264

Multiple Choice

Solve the problem.
-The current I\mathrm { I } in a circuit with voltage E\mathrm { E } , resistance R\mathrm { R } , capacitive reactance XCX _ { \mathrm { C } } and inductive reactance XLX _ { L } is
I=ER+(XLXC) iI = \frac { E } { R + \left( X _ { L } - X _ { C } \right) i }
Find I\mathrm { I } if E=22(cos45+isin45) ,R=4,XL=8\mathrm { E } = 2 \sqrt { 2 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) , \mathrm { R } = 4 , \mathrm { X } _ { \mathrm { L } } = 8 , and XC=6\mathrm { X } _ { \mathrm { C } } = 6
Give your answer in rectangular form.


A) 15+15i\frac { 1 } { 5 } + \frac { 1 } { 5 } \mathrm { i }
B) 15+35i\frac { 1 } { 5 } + \frac { 3 } { 5 } \mathrm { i }
C) 35+35i\frac { 3 } { 5 } + \frac { 3 } { 5 } \mathrm { i }
D) 35+15i\frac { 3 } { 5 } + \frac { 1 } { 5 } \mathrm { i }

Correct Answer:

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