Answer 2a When does the particle land back on the ground How

When does the particle land back on the ground? How far from its launch point does it land? What is the speed (magnitude of velocity) when the particle lands? A bead (positive charge q) is confined to slide along a wire of length L. What is the electric field from the bead at point P_1 as a function of the bead\'s position x long the wire in unit vector notation?

Solution

2 a) electric field = kq/ r²   where r is distance between charge particle and point where we need to calculate field

so when bead is at a distance x from origin than its distance from P₁ is (h+x)

so electric field = kq / (h+x)²   x varies from 0 to L

this field will be in negative x direction so electric field = -kq / (h+x)²