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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Definitions:

Leverage Ratio

A financial measurement that compares the amount of a company's debt to its assets, equity, or earnings.

Interest-Burden Ratio

A financial ratio indicating the proportion of profits remaining after paying interest expenses, used to measure a company's ability to manage its interest obligations.

Profit Margin

A financial ratio indicating the percentage of revenue that exceeds the cost of goods sold, representing the proportion of each dollar of revenue that constitutes net profit.

ROA

Return on Assets, a financial ratio indicating how profitable a company is relative to its total assets.