An infinitely long thin wire carries a uniform charge per unit length #q#. Find the electric field at a distance of #R# units from the wire?

Answer 1

Electric field is #q/(4epsilon_0R)#, where #q# is the uniform charge per unit length and #epsilon_0# is electrical permittivity of free space

Consider the infinitely long thin wire to carry a uniform charge per unit length #q#,

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Charlotte Aaron

The electric field ((E)) at a distance ((R)) from an infinitely long straight wire carrying a uniform charge per unit length ((q)) is given by the formula:

[ E = \dfrac{2k\lambda}{R} ]

where (k) is Coulomb's constant ((8.99 \times 10^9 , \text{N m}^2/\text{C}^2)) and (\lambda) is the charge density ((q) per unit length).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.