BWC21103 ELECTROMAGNETISM

Tutorial 2

1. Find the area of a cylindrical surface describe by r = 5, 30o ≤ Φ ≤ 60o 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=x2ax−xz a y− y2az, calculate the circulation of F around the (closed path

shown in Figure below.

5. Calculate the circulation of vector field F=r2 cosφ az+z sinφ az around the path L defined by

0 ≤ r ≤ 3, 0 ≤ Φ ≤ 45o and z = 0 as shown in the Figure below

Solution

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