Question

electricity use the formula ( v = ci ). determine the voltage of a circuit with a current of ( 2 + j ) and impedance of ( 7 - 3j ). ( v=) volts

Explanation:

Step1: Multiplicar los números complejos

$$\begin{align*} V&=(2 + j)(7-3j)\\ \end{align*}$$

Step2: Aplicar la distributiva

$$\begin{align*} V&=2\times7+2\times(-3j)+j\times7 + j\times(-3j)\\ &=14-6j + 7j-3j^{2} \end{align*}$$

Step3: Simplificar

Recordar que \(j^{2}=-1\)

$$\begin{align*} V&=14 + j-3\times(-1)\\ &=14 + j + 3\\ &=17 + j \end{align*}$$

Answer:

\(17 + j\) volts