Solve for t Q=(i^2Rt)/J

$Q = \frac{i^{2} R t}{J}$

Step 1

Rewrite the equation as $\frac{i^{2} R t}{J} = Q$ .

$\frac{i^{2} R t}{J} = Q$

Step 2

Multiply both sides by $J$ .

$\frac{i^{2} R t}{J} J = Q J$

Step 3

Simplify the left side.

Simplify $\frac{i^{2} R t}{J} J$ .

Cancel the common factor of $J$ .

Cancel the common factor.

$\frac{i^{2} R t}{J} J = Q J$

Rewrite the expression.

$i^{2} R t = Q J$

Rewrite $i^{2}$ as $- 1$ .

$- 1 R t = Q J$

Rewrite $- 1 R$ as $- R$ .

$- R t = Q J$

Step 4

Divide each term in $- R t = Q J$ by $- 1 R$ and simplify.

Divide each term in $- R t = Q J$ by $- 1 R$ .

$\frac{- R t}{- 1 R} = \frac{Q J}{- 1 R}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{R t}{R} = \frac{Q J}{- 1 R}$

Cancel the common factor of $R$ .

Cancel the common factor.

$\frac{R t}{R} = \frac{Q J}{- 1 R}$

Divide $t$ by $1$ .

$t = \frac{Q J}{- 1 R}$

Simplify the right side.

Move the negative in front of the fraction.

$t = - \frac{Q J}{R}$