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?\n4 - i\n4 + i\n8 + i\n8 + 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?\n4 - i\n4 + i\n8 + i\n8 + 7i

Answer

Explanation:

Step1: Substitute given values

Given $I = 3 + 2i$ and $Z=2 - i$, substitute into $E = IZ$. So $E=(3 + 2i)(2 - i)$.

Step2: Expand the product

Using FOIL method: [ \begin{align*} E&=(3\times2)+(3\times(-i))+(2i\times2)+(2i\times(-i))\ &=6-3i + 4i-2i^{2} \end{align*} ] Since $i^{2}=-1$, we have $E = 6-3i + 4i-2\times(-1)$.

Step3: Simplify the expression

Combine like - terms: $E=(6 + 2)+(-3i+4i)=8 + i$.

Answer:

C. $8 + i$