Answer
$E=260+20i$
Work Step by Step
$I=20+12i$ $;$ $Z=10-5i$
Ohm's Law is defined by the equation $E=IZ$. In this case, $E$ is unknown.
Substitute $I$ and $Z$ into Ohm's Law equation:
$E=(20+12i)(10-5i)=...$
Evaluate the product indicated to find $E$. Do so by multiplying each term of the first factor by every term of the second factor:
$...=200-100i+120i-60i^{2}=...$
Substitute $i^{2}$ by $-1$ and simplify:
$...=200+20i-60(-1)=200+20i+60=260+20i$
