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5. solve for r in the following equation: v = ir - e

Question

  1. solve for r in the following equation: v = ir - e

Explanation:

Step1: Start with the given equation

We have the equation \( V = IR - E \). Our goal is to solve for \( R \). First, we need to isolate the term containing \( R \). So, we add \( E \) to both sides of the equation.
\( V + E = IR - E + E \)
Simplifying the right - hand side (the \(-E\) and \(+E\) cancel out), we get \( V + E = IR \).

Step2: Solve for \( R \)

Now that we have \( V + E = IR \), to solve for \( R \), we divide both sides of the equation by \( I \) (assuming \( I
eq0 \)).
\( \frac{V + E}{I}=R \)
Or we can also write it as \( R=\frac{V + E}{I} \)

Answer:

\( R=\frac{V + E}{I} \)