Question

Solve the equation E = v + Ir for r

A. r = E-v / I
B. r = I(E - v)
C. r = v + I / E
D. r = E - v - I
Show ALL Work

Answer 1

A.
`\text{r} = \frac{\text{E}-\text{v}}{\text{I}}`

Explanation:

E = v + Ir

E - v = Ir (subtract by v on both sides)

(E-v)/I = r (divide by I on both sides)

`\therefore \text{r} = \frac{\text{E}-\text{v}}{\text{I}}`