Question

SOLVE FOR K
PLS HELP

Answer 1

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!!

Answer 2

`\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)}}`