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Given,
d = 9 cm
d = .09 m
E = 2 x 104 N/c
λ = ?
Electric field produced by infinite line charge at a distance.
E = \(\frac{\lambda}{2\piε_od\times E}\)
Where εo = permitivity of free space
λ = 2πεod x E
Multiply and divided by 2,
λ = \(\frac{4\piε_o\times 0.09 \times 2 \times 10^4}{2}\)
∵ \(\frac{1}{4\piε_o}\) = 9 x 109 Nm2/c2
λ = \(\frac{0.09\times 2\times 10^4}{2\times 9\times 10^9}\)
λ = \(\frac{0.18\times 10^4}{18\times 10^9}\)
λ = \(\frac{18\times 10^2}{18\times 10^9}\)
λ = 1 x 10-7c/m
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