use the formula ( v = i cdot r ), where ( i ) represents the current and ( r ) represents the resistance.
1. the current in a circuit is ( 3 + 2i ) amps, and the resistance is ( 7 - 2i ) ohms. what is the voltage?
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Accepted Answer

# Explanation:
## Step1: Substitute the values of $I$ and $R$ into the formula $V = I\cdot R$
Given $I = 3 + 2i$ and $R=7 - 2i$, then $V=(3 + 2i)(7 - 2i)$
## Step2: Use the FOIL method $(a + b)(c + d)=ac+ad+bc+bd$
$$
\begin{align*}
V&=(3\times7)+(3\times(- 2i))+(2i\times7)+(2i\times(-2i))\
&=21-6i + 14i-4i^{2}
\end{align*}
$$
## Step3: Simplify the expression
Since $i^{2}=-1$, we have $V = 21 + 8i-4\times(-1)$
$$
\begin{align*}
V&=21+8i + 4\
&=25+8i
\end{align*}
$$

# Answer:
$25 + 8i$ volts

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QUESTION IMAGE

Question

Explanation:

Step1: Substitute the values of \(I\) and \(R\) into the formula \(V = I\cdot R\)

Step2: Use the FOIL method \((a + b)(c + d)=ac+ad+bc+bd\)

Step3: Simplify the expression

Answer: