Solve for q e=(kq)/(r^2)

$e = \frac{k q}{r^{2}}$

Step 1

Rewrite the equation as $\frac{k q}{r^{2}} = e$ .

$\frac{k q}{r^{2}} = e$

Step 2

Multiply both sides by $r^{2}$ .

$\frac{k q}{r^{2}} r^{2} = e r^{2}$

Step 3

Simplify the left side.

Cancel the common factor of $r^{2}$ .

Cancel the common factor.

$\frac{k q}{r^{2}} r^{2} = e r^{2}$

Rewrite the expression.

$k q = e r^{2}$

Step 4

Divide each term in $k q = e r^{2}$ by $k$ and simplify.

Divide each term in $k q = e r^{2}$ by $k$ .

$\frac{k q}{k} = \frac{e r^{2}}{k}$

Simplify the left side.

Cancel the common factor of $k$ .

Cancel the common factor.

$\frac{k q}{k} = \frac{e r^{2}}{k}$

Divide $q$ by $1$ .

$q = \frac{e r^{2}}{k}$