Use the formula to find the missing quantity for the given conditions.The formula E=IZ where E represents voltage, I represents current, and Z represents impedance (a measure of opposition to a sinusoidal electric current), is used in electrical engineering.The variable is a complex number. $\begin{array} { l }
I = 13 + 5 i \
Z = 4 + 3 i
\end{array}$
A) $37 + 59 i$
B) $37 - 37 i$
C) $59 - 37 i$
D) $37 - 59 i$
E) $59 + 37 i$

Question

Use the formula to find the missing quantity for the given conditions.The formula E=IZ where E represents voltage, I represents current, and Z represents impedance (a measure of opposition to a sinusoidal electric current), is used in electrical engineering.The variable is a complex number.   $\begin{array} { l } 
I = 13 + 5 i \
Z = 4 + 3 i
\end{array}$  
A) $37 + 59 i$
B)  $37 - 37 i$
C)  $59 - 37 i$
D)  $37 - 59 i$
E) $59 + 37 i$

Quizplus · Accepted Answer

To find $E$, we multiply $I$ and $Z$: $(13 + 5i)(4 + 3i) = 52 + 39i + 20i + 15i^2$. Since $i^2 = -1$, this simplifies to $52 + 59i - 15$, or $37 + 59i$.

Use the Formula to Find the Missing Quantity for the Given