An infinite line charge produces a field of $18 \times 10^4 \mathrm{~N} / \mathrm{C}$ at $0.02 \mathrm{~m}$. The linear charge density is

$10^{-8} \mathrm{C} / \mathrm{m}$

$10^{-4} \mathrm{C} / \mathrm{m}$

JEE PHYSICS MCQ: ELECTRIC FIELDS AND CHARGES

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An infinite line charge produces a field of

18 \times 10^4 \mathrm{~N} / \mathrm{C}

0.02 \mathrm{~m}

. The linear charge density is

View answer and explanation

Correct option: A

2 \times 10^{-7} \mathrm{C} / \mathrm{m}

Option A (

2 \times 10^{-7} \mathrm{C} / \mathrm{m}

) is correct because it is calculated using the formula for the electric field due to an infinite line charge,

E = \frac{\lambda}{2 \pi \epsilon_0 r}

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r.

4N

\left( {{\varepsilon _r} = 8} \right)

N

5 \times {10^{ - 2}}