Solve the equation for the indicated variable.
-Solve for $K _ { 2 } : \frac { R _ { 1 } Z _ { 1 } } { K _ { 1 } } = \frac { R _ { 2 } Z _ { 2 } } { K _ { 2 } }$
A) $K _ { 2 } = \frac { R _ { 2 } Z _ { 2 } K _ { 1 } } { R _ { 1 } Z _ { 1 } }$
B) $K _ { 2 } = \frac { R _ { 2 } Z _ { 2 } R _ { 1 } Z _ { 1 } } { K _ { 1 } }$
C) $K _ { 2 } = \frac { R _ { 1 } Z _ { 1 } } { R _ { 2 } Z _ { 2 } K _ { 1 } }$
D) $K _ { 2 } = \frac { K _ { 1 } } { R _ { 2 } Z _ { 2 } R _ { 1 } Z _ { 1 } }$

Question

Quizplus · Accepted Answer

To solve for $K_2$, multiply both sides by $K_2$ to get rid of the denominator on the right side, then divide both sides by $\frac{R_1 Z_1}{K_1}$ to isolate $K_2$, resulting in $K_2 = \frac{R_2 Z_2 K_1}{R_1 Z_1}$.

Solve the Equation for the Indicated Variable K2:R1Z1K1=R2Z2K2K _ { 2 } : \frac { R _ { 1 } Z _ { 1 } } { K _ { 1 } } = \frac { R _ { 2 } Z _ { 2 } } { K _ { 2 } }K2​:K1​R1​Z1​​=K2​R2​Z2​​

Solve the Equation for the Indicated Variable $K _ { 2 } : \frac { R _ { 1 } Z _ { 1 } } { K _ { 1 } } = \frac { R _ { 2 } Z _ { 2 } } { K _ { 2 } }$