Electromagnetic Fundamentals
POWE271
Vector Calculus
Problems Sheet #2
Solution
Faculty of Engineering – Electrical Engineering Department
Problem 1
A circular cylinder of radius 𝑟 = 5 𝑐𝑚 is concentric with the z-axis and extends between 𝑧 = −3 𝑐𝑚
and 𝑧 = 3 𝑐𝑚. Find the cylinder’s volume.
Problem 2
Problem 3
Transform vector
from Cartesian to cylindrical coordinates.
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
෡ 𝐴𝑅 in spherical coordinates, calculate the flux of E through a spherical surface of
If 𝐸 = 𝑹
radius 𝑎, centered at the origin.