Question

the voltage v of an ac circuit can be found using the formula v = iz, where i is current and z is impedance. if i = 2 - 3i amps and z = 7 + 5i ohms, determine the voltage. simplify your answer as much as possible.

v = \boxed{} volts

Explanation:

Step1: Recall the formula for voltage

We know that \( V = IZ \), where \( I = 2 - 3i \) and \( Z = 7 + 5i \). So we need to multiply these two complex numbers.

Step2: Multiply the complex numbers

Using the distributive property (FOIL method) for complex numbers: \((a + bi)(c + di)=ac + adi + bci + bdi^2\), and since \( i^2=- 1\).

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Answer:

\(29 - 11i\)