Question 7 (2 points)
Problems 6 and 7 refer to a thick-walled copper pipe. The pipe has outer radius a, inner radius
b and length L. The axis of the pipe is oriented along the z-axis in a cylindrical coordinate
system, with the bottom of the pipe at z = 0. (I can draw a picture in class if this is not clear!)
If a = 5 cm, b = 2 cm and L = 30 cm, what is the volume of the copper in the pipe? Note this is
not the total volume of the pipe, just of the copper.
Question 6 (2 points)
Problems 6 and 7 refer to a thick-walled copper pipe. The pipe has outer radius a, inner radius
b and length L. The axis of the pipe is oriented along the z-axis in a cylindrical coordinate
system, with the bottom of the pipe at z = 0. (I can draw a picture in class if this is not clear!)
Which is the correct calculation of the total surface area of the pipe? This includes inner,
outer, top and bottom surfaces.
Question 10 (2 points)
Problems 9 and 10 refer to a vector field given by \(\vec{E} = \phi 5r^2 \sin(\phi)\).
What is the curl of \(\vec{E}\)?
Question 9 (2 points)
Problems 9 and 10 refer to a vector field given by \(\vec{E} = \phi 5r^2 \sin(\phi)\).
What is the divergence of \(\vec{E}\)?
