(4%) Problem 20: A uniformly charged rod of length L lies along the x-axis with its right end at y the origin. The rod has a total charge of Q A point P is located on the x-axis a distance a to the right ' ' of the origin. I l|IL'L'\\|)crll;l.cum 25% Part (a) Consider a thin slice of the rod of thickness dx located a distance x away from the origin. What is the direction of the electric eld at point P due to the charge on this thin slice of the rod? Positive x-direction I/ Correct! 82 25% Part (b) Write an equation for the electric eld dE at point P due to the thin slide of the rod dx. Give your answers in terms of the variables Q, L, x, (2, dx, and the Coulomb constant, k Notice that the coordinate x will be less than zero over the length of the rod. dE=k/(a(a+L))Q/a(a+L) x 83 25% Part (c) Integrate the electric eld contributions from each slice over the length of the rod to write an equation for the net electric eld E at point P. E=kQ/a(a+L) x $3 25% Part ((1) Calculate the magnitude of the electric eld E in kilonewtons per coulomb (kN/ C) at point P due to the charged rod if L = 2.4 m, Q = 4.7 .1113, and a = 2.1 m. Grade Summary E = I kN/ C Deductions Potential 100%