Question

coulomb’s law $f = k\frac{qq}{r^2}$ relates the force $f$ between two charges $q$ and $q$, which are a distance of $r$ units apart. choose the\
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a $k = \frac{r^2f}{qq}$\
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b $k = \frac{f}{r^2qq}$\
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c $k = \frac{r^2}{fqq}$\
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d $k = \frac{qq}{r^2f}$

Explanation:

Step1: Start with Coulomb's Law

We have the formula \( F = k\frac{qQ}{r^2} \). Our goal is to solve for \( k \).

Step2: Isolate \( k \)

Multiply both sides of the equation by \( r^2 \) to get \( F r^2 = k q Q \). Then divide both sides by \( q Q \) to isolate \( k \). So, \( k=\frac{r^2 F}{q Q} \).

Answer:

A. \( k = \frac{r^2 F}{qQ} \)