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jmc

algebra senior

Problem

Complex numbers are often used when dealing with alternating current (AC) circuits. In the equation , is voltage, is current, and is a value known as impedance. If and , find . Express your answer as a complex number in the form , where and are real numbers.
Solution
We have Multiplying the numerator and denominator by the conjugate of the denominator, we get
Final answer
-\frac{1}{5} - \frac{2}{5}i