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Question
An infinite line charge produces a field of 9 × 104 N/C at a distance of 2 cm. Calculate the linear charge density.
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Solution
Given: E = 9 × 104
ε0 = 8.85 × 10−12 C2 N−1 m−2
r = 2 cm = 0.02 m
Formula: `E = lambda/(2piε_0 r)`
λ = E (2πε0r)
= 9 × 104 × 2 × 3.14 × 8.85 × 10−12 × 0.02
= 10.0 × 10−8
= 1 × 10−7 C m−1
= 0.1 μC m−1
Therefore, the linear charge density is 0.1 μC m−1.
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