Perform the Indicated Operation $I$ In a Circuit with Voltage $E$ , Resistance

question 198

Multiple Choice

Perform the indicated operation. Give answers in rectangular form expressing real and imaginary parts to four decimal
places.
-The current $I$ in a circuit with voltage $E$ , resistance $R$ , capacitive reactance $X _ { C }$ and inductive reactance $\mathrm { X } _ { \mathrm { L } }$ is
$$I = \frac { E } { R + \left( X _ { L } - X _ { C } \right) i }$$
Find $I$ if $E = 3 \sqrt { 2 } \left( \cos 45 ^ { \circ } + i \sin 45 ^ { \circ } \right) , R = 5 , X _ { L } = 6$ , and $X _ { C } = 4$ .
Give your answer in rectangular form.

• A) \(\frac { 9 } { 29 } + \frac { 21 } { 29 } \mathrm { i }\)
• B) \(\frac { 21 } { 29 } + \frac { 9 } { 29 } \mathrm { i }\)
• C) \(\frac { 21 } { 29 } + \frac { 21 } { 29 } \mathrm { i }\)
• D) \(\frac { 9 } { 29 } + \frac { 9 } { 29 } \mathrm { i }\)

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