A uniform line charge of linear charge density $\lambda$ = 5.00 nC/m extends from x = 0 to x = 10 m.The magnitude of the electric field at x = 12 m is
A)3.86 N/C
B)9.62 N/C
C)15.3 N/C
D)18.8 N/C
E)37.5 N/C

Question

Quizplus · Accepted Answer

The magnitude of electric field E at a point P located at a distance r from a line charge with linear charge density λ is given by:

$E=\frac{1}{2\pi\epsilon_0}\frac{\lambda}{r}$

At x = 12 m, the distance from the line charge is r = 2 m. Thus,

$E=\frac{1}{2\pi(8.85	imes 10^{-12} N^{-1} m^{-2})}\frac{5.00	imes 10^{-9} C/m}{2m} = 18.8 N/C$

Therefore, the correct answer is D.

A Uniform Line Charge of Linear Charge Density λ\lambdaλ = 500 NC/m Extends from X = 0 to X =

A Uniform Line Charge of Linear Charge Density $\lambda$ = 500 NC/m Extends from X = 0 to X =