Expression for electric field due to an infinitely long charged wire with linear charge density. Also, find the work done in bringing a charge q from a perpendicular distance:

a) E = λ / (2πε₀r), Work = qV
b) E = λ / (4πε₀r), Work = qV
c) E = 2λ / (πε₀r), Work = qV
d) E = λ / (πε₀r), Work = 2qV