Question

An infinite line of charge with charge density λ1 = 0.6 μC/cm is aligned with the y-axis.

Answer 1

Answer:

1440 × 10⁴ N/C

Explanation:

Data provided in the question:

Charge density λ1 = 0.6 μC/cm = 6 × 10⁻⁵ C/m

a = 7.5 cm = 0.075 m

Now,

Electric field due to a line charge at a distance 'a' is given as:

Ex(P) = $\frac{\lambda}{2\pi\epsilon_0a}$

also,

we know

$\frac{1}{4\pi\epsilon_0}$ = 9 × 10⁹ Nm²/C²

Thus,

we have

Ex(P) = $\frac{2}{2}\times\frac{\lambda}{2\pi\epsilon_0a}=\frac{2\lambda}{4\pi\epsilon_0a}$

therefore,

Ex(P) = $\frac{2\times6\times10^{-5}\times9\times10^9}{0.075}$

= 1440 × 10⁴ N/C