A one dimensional infinite long wire with uniform linear charge density λ, is placed along the z-axis. The potential difference δV = V(ρ + a) - V(ρ), between two points at radial distances ρ + a and p from the z-axis, where a << ρ, is closest to
1
\(-\frac{\lambda}{2 \pi \varepsilon_0} \frac{a^2}{\rho^2}\)
2
\(-\frac{\lambda}{2 \pi \varepsilon_0} \frac{a}{\rho}\)
3
\(\frac{\lambda}{2 \pi \varepsilon_0} \frac{a}{\rho}\)
4
\(\frac{\lambda}{2 \pi \varepsilon_0} \frac{a^2}{\rho^2}\)