Question

stu wanted to calculate the resistance of a light bulb connected to a 4.0 - v battery, with a resulting current of 0.5 a. he used the formula $r = vi$ and obtained an answer of 2 $omega$. was stus answer correct? how do you know?

Explanation:

Step1: Recall correct formula

The correct formula for resistance is $R=\frac{V}{I}$, not $R = VI$.

Step2: Substitute values

Given $V = 4.0\ V$ and $I=0.5\ A$, we substitute into the correct formula: $R=\frac{4.0}{0.5}$.

Step3: Calculate resistance

$R=\frac{4.0}{0.5}=8\ \Omega$.

Answer:

No, Stu's answer is not correct. The correct resistance is $8\ \Omega$ using the formula $R = \frac{V}{I}$, where $V = 4.0\ V$ and $I = 0.5\ A$.