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I got The A and B sections, just need help with the cylinder problem; problem 3.

ID: 1328095 • Letter: I

Question

I got The A and B sections, just need help with the cylinder problem; problem 3. Thanks all.

3cm 7cm Figure 1: Left: Two concentric shells with the bigger one having negligible thickness and the smaller having a really thick shell from radius of 1cm to 3cm. Uniform charge density -Luc/cm3 is for the smaller Right: Cylinder with surface charge density > 0. 0. 1. (2 pts) Effort (a) (1 pt) Go to office hours of someone you haven't visited. Write the information here. (b) (1 pt) Post on the Discussion Board, but do not start a new post if your topic exists. Starting nevw threads on the same topic increases noise and makes the forum less useful. Write the info here. 2. (15 pts) Consider the diagram on the left. (Hint: Use Gauss' law.) (a) (5 pts) Find E as a function of r, where r = 0 is at the center of the spheres. (b) (5 pts) Plot the magnitude E as a function of r (c) (5 pts) Compare (b) to the result due to a point source. Write the equivalent charge of the system. 3. (23 pts) Consider the diagram on the right. Assume I » R, r and > 0. (Hint: Use Gauss' law.) (a) (5 pts) Show that the field inside the cylinder is zerdo (b) (5 pts) Find E as a function of r, where r 0 is at the y-axis. (c) (5 pts) Plot the magnitude E as a function of r (d) (3 pts) Draw the E field lines on the figure. (e) (5 pts) Compare (c) to the result due to a line charge of length l with density along the y-axis.

Explanation / Answer

2)) a)charge resides out side of the surface.charge is zero inside so electric field is zero from this formula

  net flux=E.A=0

E=0

b)E=Kq/r.E is inversly proporsional to r

3)Gauss law is net flux = (1/e0)net charge

a)charge resides out side of the surface.charge is zero inside so electric field is zero from this formula

  net flux=E.A=0

E=0

b) E=(lamda)/2*pi*e0*r

=infinity

c) E is inversly proportional to r. E is along y axis and x is along x axis.

d) Electric lines of forces are radially out wards.

e)