#### Question

An infinite line charge produces a field of 9 × 10^{4} N/C at a distance of 2 cm. Calculate the linear charge density.

#### Solution

Electric field produced by the infinite line charges at a distance *d* having linear charge density *λ* is given by the relation,

`E=lambda/(2piin_0d)`

`lambda=2piin_0dE`

Where,

*d* = 2 cm = 0.02 m

*E* = 9 × 10^{4} N/C

∈_{0} = Permittivity of free space

`1/(4piin_0)` = 9 × 10^{9} N m^{2} C^{−2}

`lambda=(0.02xx9xx10^4)/(2xx9xx10^9)`

= 10 μC/m

Therefore, the linear charge density is 10 μC/m.

Is there an error in this question or solution?

Solution An Infinite Line Charge Produces a Field of 9 × 10^4 N/C at a Distance of 2 cm. Calculate the Linear Charge Density. Concept: Electric Field - Electric Field Due to a System of Charges.