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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
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Web viewBWC21103 ELECTROMAGNETISM. Tutorial 2. Find the area of a cylindrical surface describe by . r = 5, 30o ≤ Φ ≤ 60o and 0 ≤ z ≤ 3. A circular cylinder of r= 5

Feb 04, 2018

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Page 1:    Web viewBWC21103 ELECTROMAGNETISM. Tutorial 2. Find the area of a cylindrical surface describe by . r = 5, 30o ≤ Φ ≤ 60o and 0 ≤ z ≤ 3. A circular cylinder of r= 5

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

Page 2:    Web viewBWC21103 ELECTROMAGNETISM. Tutorial 2. Find the area of a cylindrical surface describe by . r = 5, 30o ≤ Φ ≤ 60o and 0 ≤ z ≤ 3. A circular cylinder of r= 5

Solution

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Page 4:    Web viewBWC21103 ELECTROMAGNETISM. Tutorial 2. Find the area of a cylindrical surface describe by . r = 5, 30o ≤ Φ ≤ 60o and 0 ≤ z ≤ 3. A circular cylinder of r= 5

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