Solve P=1/2*U_0^2/R

$$P = \frac { 1 } { 2 } \cdot \frac { U _ { 0 } ^ { 2 } } { R }$$

Solve for R

$$R\neq 0$$

$$P=\frac{U_{0}^{2}}{2}$$

Steps for Solving Linear Equation

Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2R, the least common multiple of 2,R.

$$P\times 2R=\frac{1}{2}\times 2U_{0}^{2}R$$

Multiply \frac{1}{2} and 2 to get 1.

$$P\times 2R=U_{0}^{2}R$$

Subtract U_{0}^{2}R from both sides.

$$P\times 2R-U_{0}^{2}R=0$$

Reorder the terms.

$$2PR-RU_{0}^{2}=0$$

Combine all terms containing R.

$$\left(2P-U_{0}^{2}\right)R=0$$

Divide 0 by 2P-U_{0}^{2}.

$$R=0$$

Variable R cannot be equal to 0.

$$R\in \emptyset$$

Solve for P

$$P=\frac{U_{0}^{2}}{2}$$

$$R\neq 0$$

Solution Steps

Cancel out R in both numerator and denominator.

$$P=\frac{1}{2}U_{0}^{2}$$