Question

An infinite line charge produces a field of 9 x 10^4 N/C at a distance of 2cm .calculate the linear charge density

Answer 1

Given

d = 2cm = 0.02 m

E = 9 X 10⁴N/m

1/4πξ₀ = 9 X 10⁹ Nm²C^-2

By using the formula

E = λ / 2πξ₀d

=> λ = 2πξ₀dE

=> 0.02 X 9 X 10⁴ / ( 2 X 9 X 10⁹ )

=> 10 μC/m //

Answer 2

welcome to the concept of electrostatics .

$e = \frac{linear \: charge \: density}{2\pi \: e.r}$

here , e = electric field

and e.= permittivity of free space..

then linear charge density

$= e \times 2\pi \: e.r$

$= 9 \times 10 {}^{4} \times 2\pi \: e. \times 2 \times 10 {}^{ - 2}$

$= 36 \times 10 {}^{2} \pi \: e.$

I hope it help you ❤️

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