Question

In the relation F=Q1Q2/r^2. what is the value of K in the free space.

Answer 1

$\underline{ \boxed{ \bold{ \huge{ \purple{Answer}}}}} \\ \\ \dagger \: \rm{ \red{To \: Find}} \\ \\ \implies \rm \: value \: of \: k \: in \: F = \frac{kq{ \tiny{1}}q{ \tiny{2}}}{ {r}^{2} } \\ \\ \dagger \rm \: \red{Calculation} \\ \\ \implies \rm \: k = \frac{1}{4 \pi \epsilon{ \tiny{o}}} \\ \\ \implies \rm \: \epsilon{ \tiny{o}} = permittivity \: of \: free \: space = 8.85 \times {10}^{ - 12} \frac{ {C}^{2} }{N {m}^{2} } \\ \\ \implies \rm \: k = \frac{1}{4 \times 3.14 \times 8.85 \times {10}^{ - 12} } = 8.99 \times {10}^{9} \approx9 \times {10}^{9} \frac{N {m}^{2} }{ {C}^{2} } \\ \\ \clubsuit \: \: \boxed{ \rm{ \orange{k = 9 \times {10}^{9} \: \frac{N {m}^{2} }{ {C}^{2} } }}}$