An infinitely long thin straight wire has uniform charge density of 1 4 10⁻² ~cm ⁻¹ . What is the magnitude of electric field at a distance 20 ~cm from the axis of the wire?

Step-by-step solution

Given, charge density of uniformly long thin wire, aligned &= 1 4 10⁻² ~cm ⁻¹ &= 1 4 10⁻² 10² ~m ⁻¹= 1 4 ~m ⁻¹ r &=20 ~cm =0.2 ~m aligned Electric field at a distance r from the axis of wire is given as aligned E &= 2 ₀ r = 2 4 ₀ r &= 9 10⁹ 2 1 4 0.2 &=2.25 10¹⁰ NC ⁻¹ aligned