the relationship between voltage e, current i, and resistance z is given by the equation e = iz. if a…

the relationship between voltage e, current i, and resistance z is given by the equation e = iz. if a circuit has a current i = 3 + 2i and a resistance z = 2 - i, what is the voltage of the circuit?\no 4 - i\no 4 + i\no 8 + i\no 8 + 7i

the relationship between voltage e, current i, and resistance z is given by the equation e = iz. if a circuit has a current i = 3 + 2i and a resistance z = 2 - i, what is the voltage of the circuit?\no 4 - i\no 4 + i\no 8 + i\no 8 + 7i

Answer

Answer:

C. (8 + i)

Explanation:

Step1: Substitute values into formula

Given (E = IZ), (I = 3 + 2i), (Z=2 - i), so (E=(3 + 2i)(2 - i)).

Step2: Expand the product

[ \begin{align*} E&=(3 + 2i)(2 - i)\ &=3\times2-3\times i+2i\times2-2i\times i\ &=6 - 3i+4i-2i^{2} \end{align*} ]

Step3: Simplify using (i^{2}=- 1)

Since (i^{2}=-1), then (E = 6 - 3i+4i-2\times(-1)=6 + 2+(4i-3i)=8 + i).