A rod of length Z has a positive charge Q which is uniformly distributed across the rod with a constant linear charge density. The rod lies on the x-axis, from x-0 to x
- L. Point P is on the y-axis a distance +y from the origin. Let Coulomb's constant be ke
Part (a)✓
Consider an infinitesimal portion dQ of the rod a distance x from the origin. Write an expression for the magnitude dE of the electric field at point P, created by this
portion.
dE-(k, dQ)(x²+y)
Part (b)✓
Correct!
Express the infinitesimal charge portion do through the linear charge density and the length of the segment, dr.
dQ-1 dx
Part (c)
Correct!
Write an equation for the y-component, dE, of the electric field dE at point P, in terms of the coordinates x and y as well as the charge density).
Part (d)
Write an integral that is an expression for the y-component of the electric field at point P.
Part (e)
Evaluate the integral from part (d) to write an expression for the y-component Ey of the electric field at point P.
Part (1)
Write an equation for the x-component, dE, of the electric field dE at point P, in terms of the coordinates x and y as well as the charge density 2.
Part (2)
Write an integral that is an expression for the x-component of the electric field at point P.
Part (h).
Evaluate the integral from part (g) to write an expression for the x-component E, of the electric field at point P.
OF
Grade Summary select part