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SOLVE FOR K
PLS HELP

SOLVE FOR K PLS HELP-example-1
User JII
by
8.5k points

2 Answers

5 votes

We have,


\rm \: F = k * \frac{ q_(1) q_(2) }{ {r}^(2) }

  • Move the expression
    \sf \: \frac{ q_(1) q_(2) }{ {r}^(2) } to left hand side and convert into reciprocal...


: \implies \tt k = \frac{ F{r}^(2) }{ q_(1) q_(2) }

  • Thus, Option B is correct!!
User Llazzaro
by
7.2k points
5 votes

Answer:


\textsf{B.} \quad k=(F r^2)/(q_1q_2)

Explanation:

Given equation:


F=(kq_1q_2)/(r^2)

To solve for k, we need to rearrange the equation to isolate k.

Multiply both sides of the equation by r² to eliminate the fraction on the right side:


F\cdot r^2=(kq_1q_2)/(r^2)\cdot r^2


F r^2=kq_1q_2

Now, divide both sides of the equation by q₁q₂ to isolate k:


(F r^2)/(q_1q_2)=(kq_1q_2)/(q_1q_2)


(F r^2)/(q_1q_2)=k

Therefore, the solution is:


\large\boxed{\boxed{k=(F r^2)/(q_1q_2)}}

User Pmfl
by
8.1k points

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