Question
Make \( Q_{2} \) the subject of the formular \( F=k \frac{Q_{1} Q_{2}}{r^{2}} \)
Ask by Graham Carter. in South Africa
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( Q_{2} = \frac{F r^{2}}{k Q_{1}} \)
Solution
1. Start with the given formula:
\[
F = k \frac{Q_{1} Q_{2}}{r^{2}}
\]
2. Multiply both sides of the equation by \( r^{2} \) to eliminate the denominator:
\[
F r^{2} = k Q_{1} Q_{2}
\]
3. Divide both sides by \( k Q_{1} \) to isolate \( Q_{2} \):
\[
Q_{2} = \frac{F r^{2}}{k Q_{1}}
\]
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Simplify this solution Extra Insights
To make \( Q_{2} \) the subject of the formula \( F = k \frac{Q_{1} Q_{2}}{r^{2}} \), you'll want to isolate \( Q_{2} \). Start by multiplying both sides by \( r^{2} \): \[ F r^{2} = k Q_{1} Q_{2} \] Next, divide both sides by \( k Q_{1} \): \[ Q_{2} = \frac{F r^{2}}{k Q_{1}} \] And there you have it! \( Q_{2} \) is now isolated.
