Find the electric field vector at due to three infinitely long lines of charges along…

PHYSICS · Single correct · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

Find the electric field vector at

P(a,a,a)

due to three infinitely long lines of charges along the

x

y

- and

z

-axes, respectively. The charge density, i.e., charge per unit length of each wire is

\lambda

. (1)

\frac{\lambda}{3\pi\epsilon_0 a}(\hat{i}+\hat{j}+\hat{k})

(2)

\frac{\lambda}{2\pi\epsilon_0 a}(\hat{i}+\hat{j}+\hat{k})

(3)

\frac{\lambda}{2\sqrt{2}\pi\epsilon_0 a}(\hat{i}+\hat{j}+\hat{k})

(4)

\frac{\sqrt{2}\lambda}{\pi\epsilon_0 a}(\hat{i}+\hat{j}+\hat{k})