Question

An infinite line charge produces a field of 9*10^4N/c at a distance of 4 cm. calculate linear charge density​

Answer 1

Given ,

• Electric field (E) = 9 × (10)^4 N/c
• Distance (r) = 4 cm or 4 × (10)^(-2) m

We know that ,

The electric field due to an infinitely long charged wire is given by

$\large \boxed{ \sf{E = \frac{λ}{2\pi e_{o}r } }}$

Thus ,

$\sf \mapsto 9 \times {(10)}^{4 } = \frac{2λ \times 9 \times {(10)}^{9} }{4 \times {(10)}^{ - 2} } \\ \\ \sf \mapsto λ = 2 \times {(10)}^{7} \: \: c/m$

$\sf \therefore \underline{The \: linear \: charge \: density \: is \: 2 \times {(10)}^{7} \: c/m}$