-->

Electric Charges And Fields

Question

An infinite line charge produces a field of 9 x 10⁴ N/C at distance of 2 cm. Calculate the linear charge density.

Solution

Given, Electric field, E = 9 \times 10^{4} N / C D istance, r = 2 \times 10^{- 2} m

Using the formula of electric field for uniformly charged wire,

E = \frac{λ}{2 {πrε}_{0}}

∴

λ = E . 2 πr . ε_{0}

λ = 9 \times 10^{4} \times 2 π \times 2 \times 10^{- 2} \times 8.854 \times 10^{- 12} = 10 \times 10^{- 6}

linear charge density - λ = 10 μC / m .