An insulating rod of length L having linear charge density ? = 40.0 ?C/m and lin

Question

An insulating rod of length L having linear charge density ? = 40.0 ?C/m and linear mass density ?=0.100 kg/m is released from rest in a uniform electric field E = 200 V/m directed perpendicular to the rod as shown in the figure on the right.

a) If the current position of the rod has the electric potential V = 0, what is the electric potential at distance d(=2.00 m) downfield. Use only symbols given. (5 points)

b) What is the potential energy of the rod at distance d downfield? Answer using the symbol ?, L, E and d. (5 points)

c) If at distance d downfield the velocity of the rod is v, what is the kinetic energy? (5 points)

d) Find the velocity numerically. (5 points)

Explanation / Answer

a)

V = E d = -200* (2 - 0) = -400 V

b)

U = q V = lamda L E d

c)

K = 0.5 m v^2

d)

v= sqrt(2U/m) = sqrt(2 lamda L E d/m) = sqrt(2*40*200*2/0.1) = 566 m/s

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