Question

What is the electric field at the origin due to a line of charge from x0 to ∞ along the positive x-axis with a uniform linear charge density (charge/length) of λ. Question 11 options: a) k e λ x 0 keλx0 {"version":"1.1","math":"keλx0"} b) x 0 k e λ x0keλ {"version":"1.1","math":"x0keλ"} c) k e λ x 0 keλx0 {"version":"1.1","math":"keλx0"} d)

Answer 1

consider a small length "dx" at distance "x" from the origin . small charge on the small length is given as

dq = dx

small electric field by the small length at the origin is given as

dE = k dq/x²

dE = k dx /x²

Total electric field is given as

E = k dx /x²

E = k dx /x²