Question

the formula $f = k\frac{|e_1e_2|}{d^2}$ gives the amount of the electrostatic force (attraction or repulsion) between two entities with electrical charges $e_1$ and $e_2$ that are distance $d$ apart, where $k$ is coulombs constant. solve the formula for $d$. note: look in the vars tab of the math formatting editor to find all of the variables for this problem. enter your answer as an equation with the isolated variable on the left hand side. question help: message instructor submit question

Explanation:

Step1: Isolate $d^2$

Starting with $F = K\frac{|e_1e_2|}{d^2}$, we can cross - multiply to get $Fd^2=K|e_1e_2|$. Then divide both sides by $F$ (assuming $F
eq0$) to obtain $d^2=\frac{K|e_1e_2|}{F}$.

Step2: Solve for $d$

Take the square root of both sides. Since distance $d$ is non - negative in the physical context, we have $d = \pm\sqrt{\frac{K|e_1e_2|}{F}}$. But in the context of the distance between two entities, we take the positive value, so $d=\sqrt{\frac{K|e_1e_2|}{F}}$.

Answer:

$d=\sqrt{\frac{K|e_1e_2|}{F}}$