$$ L \leftarrow \quad $$ Solve the equation for $$ q_{1} $$ $$ F=\frac{k q_{1} q_{2}}{R^{2}} $$

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To solve the equation for $$ q_{1} $$:

$$
F = \frac{k q_{1} q_{2}}{R^{2}}
$$

**Step 1:** Start with the original equation:

$$
F = \frac{k q_{1} q_{2}}{R^{2}}
$$

**Step 2:** Multiply both sides of the equation by $$ R^{2} $$ to eliminate the denominator:

$$
F R^{2} = k q_{1} q_{2}
$$

**Step 3:** Divide both sides by $$ k q_{2} $$ to isolate $$ q_{1} $$:

$$
q_{1} = \frac{F R^{2}}{k q_{2}}
$$

**Final Expression:**

$$
q_{1} = \frac{F R^{2}}{k q_{2}}
$$

This equation expresses $$ q_{1} $$ in terms of the force $$ F $$, the constant $$ k $$, charge $$ q_{2} $$, and the distance $$ R $$.
$$ q_{1} = \frac{F R^{2}}{k q_{2}} $$

\( L \leftarrow \quad \) Solve the equation for \( q_{1} \) \[ F=\frac{k q_{1} q_{2}}{R^{2}} \]

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