Solve e = 1/2 q / c^2

Evaluate

e = \frac{1}{2} \times \frac{q}{c ^{2}}

Multiply the terms

e = \frac{q}{2 c ^{2}}

Swap the sides of the equation

\frac{q}{2 c ^{2}} = e

Cross multiply

q = 2 c^{2} e

Simplify the equation

q = 2 e c^{2}

Swap the sides of the equation

2 e c^{2} = q

Divide both sides

\frac{2 e c ^{2}}{2 e} = \frac{q}{2 e}

Divide the numbers

c^{2} = \frac{q}{2 e}

Take the root of both sides of the equation and remember to use both positive and negative roots

c = \pm \frac{q}{2 e}

Simplify the expression

More Steps

c = \pm \frac{2 e q}{2 e}

Solution

c = \frac{2 e q}{2 e} c = - \frac{2 e q}{2 e}

Solve the equation