BWC21103 ELECTROMAGNETISM Tutorial 2 1. Find the area of a cylindrical surface describe by r = 5, 30 o ≤ Φ ≤ 60 o and 0 ≤ z ≤ 3. 2. A circular cylinder of r= 5 cm is concentric with the z axis and extends between z = -3 cm and z = 3 cm. Find the cylindrical volume. 3. The spherical strip shown below is a section of sphere of radius 3 cm. Find the area of the strip. 4. Given that F=x 2 a x −xz a y −y 2 a z , calculate the circulation of F around the (closed path shown in Figure below. 5. Calculate the circulation of vector field F=r 2 cos φ ^ a z +z sin φ ^ a z around the path L defined by 0 ≤ r ≤ 3, 0 ≤ Φ ≤ 45 o and z = 0 as shown in the Figure below