The Trigonometric Form of Complex Numbers Is Often Used by Electrical

question 1

Multiple Choice

The trigonometric form of complex numbers is often used by electrical engineers to describe the current I, voltage V, and impedance Z in electrical circuits with alternating current. Impedance is the opposition to the flow of current in a circuit. Most common electrical devices operate on 115-volt, alternating current. The relationship among these three quantities is $I = \frac { V } { Z }$ . The real part of I represents the actual current delivered to an electrical appliance in amps. Approximate this current when $V = 164 \operatorname { cis } 42 ^ { \circ }$ and $Z = 102 \operatorname { cis } 11 ^ { \circ }$ , and express the answer in rectangular form to two decimal places.

• A) 2.76 amps
• B) 1.33 amps
• C) 1.23 amps
• D) 1.38 amps
• E) 1.45 amps

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