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Trigonometry

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Complex Numbers, Applications, Electricity, Quotient

TRIG-WO1HEV

In electrical terms, an alternating current, $I$, through an electric inductor uses the formula $I=\cfrac { E }{ Z }\;amperes$, where $E$ is considered the voltage, and $Z=R+i{ X }_{ L }$ is known as the impedance. Given the following information:

  • $E=16\left\{ \cos { \left( { 25 }^{ ° } \right) } +i\sin { \left( { 25 }^{ ° } \right) } \right\}$
  • $R=12$
  • ${ X }_{ L }=6$

What is the current in rectangular form? (round your answer to the nearest hundredth)

A

$0.99-0.67i$

B

$0.99+0.67i$

C

$1.19-0.03i$

D

$1.19+0.03i$