X K Check Stoke's theorem for the vector field A=xyî +(2yz)j + 3xzk and the square surface shown in $.3
X K Check Stoke's theorem for the vector field A=xyî +(2yz)j + 3xzk and the square surface shown in $.3
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This is a tutorial done on the 13th october. So it is not an active assessment anymore. Please do question 4.
![3 Stoke's theorem relates the line integral of a vector to its curl: A dl= f(V x A)-ds
ZA
Check Stoke's theorem for the vector field
A = (2xz+3y³)j + 4yz'k for the square
4
surface shown. [Answer:-]
3
0
1
X K
4 Check Stoke's theorem for the vector field A=xyî +(2yz)j +3xzk and the square surface shown in $.3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04260a20-d9b7-4d40-8318-cc78a4c9fab4%2Fa8348e57-1e46-4e7d-beda-5adca6aa31a6%2Fcf2kqcl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3 Stoke's theorem relates the line integral of a vector to its curl: A dl= f(V x A)-ds
ZA
Check Stoke's theorem for the vector field
A = (2xz+3y³)j + 4yz'k for the square
4
surface shown. [Answer:-]
3
0
1
X K
4 Check Stoke's theorem for the vector field A=xyî +(2yz)j +3xzk and the square surface shown in $.3
![UWC-PHYSICS 222 (EM) TUTORIAL #3
Thursday 13 October 2022
Below are the problems for Thursday. Please come prepared with your questions. At the end of the
the quizzes.
session you will write a small quiz based on these problems. Please note that there are no re-tests for
1. Verify the divergence theorem for the vector field A = xi + yj + zk and a unit cube with the back left
hand corner located at the origin. [Answer: 3]
2. Verify the divergence theorem for the vector field A = 2yi +3y²j+4zk and a unit cube with the back
left hand corner located at (0; 0;0). ac origin
at
·
3 Stoke's theorem relates the line integral of a vector to its curl: A-dl = f(V× A) · dš
Z
Check Stoke's theorem for the vector field
Ā= (2xz+3y²)j + 4yz²k for the square
surface shown. [Answer:]
3
1
6.4
6.5
0
1
X
4
Check Stoke's theorem for the vector field à = xyî + (2 yz)ĵ + 3xzk and the square surface shown in $.3
5
Use two ways to find the energy of a sphere of radius R which carries uniform charge density p.
Done class
Check that E= -VV in all three cases
Use two methods to find the energy of
72
sphere.
the
of the sphere.
6
A sphere of radius R carries charge density p = kr. [k is a constant with the appropriate units and r is the
distance from the centre of the sphere]
6.1 Draw the graph of p(x). Show all the intercepts.
6.2
Use Gauss's law to find the electric field inside and outside the sphere respectively.
6.3
Use the equation V
=-1²= Edl to find the potential in the two regions.
y
7
Derive an expression for the capacitance of a two concentric spherical shells with radii a and b>a.
8
Find the capacitance per unit length of two coaxial metal cylindrical tubes of radii a and b> a.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04260a20-d9b7-4d40-8318-cc78a4c9fab4%2Fa8348e57-1e46-4e7d-beda-5adca6aa31a6%2F1fvakjqr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:UWC-PHYSICS 222 (EM) TUTORIAL #3
Thursday 13 October 2022
Below are the problems for Thursday. Please come prepared with your questions. At the end of the
the quizzes.
session you will write a small quiz based on these problems. Please note that there are no re-tests for
1. Verify the divergence theorem for the vector field A = xi + yj + zk and a unit cube with the back left
hand corner located at the origin. [Answer: 3]
2. Verify the divergence theorem for the vector field A = 2yi +3y²j+4zk and a unit cube with the back
left hand corner located at (0; 0;0). ac origin
at
·
3 Stoke's theorem relates the line integral of a vector to its curl: A-dl = f(V× A) · dš
Z
Check Stoke's theorem for the vector field
Ā= (2xz+3y²)j + 4yz²k for the square
surface shown. [Answer:]
3
1
6.4
6.5
0
1
X
4
Check Stoke's theorem for the vector field à = xyî + (2 yz)ĵ + 3xzk and the square surface shown in $.3
5
Use two ways to find the energy of a sphere of radius R which carries uniform charge density p.
Done class
Check that E= -VV in all three cases
Use two methods to find the energy of
72
sphere.
the
of the sphere.
6
A sphere of radius R carries charge density p = kr. [k is a constant with the appropriate units and r is the
distance from the centre of the sphere]
6.1 Draw the graph of p(x). Show all the intercepts.
6.2
Use Gauss's law to find the electric field inside and outside the sphere respectively.
6.3
Use the equation V
=-1²= Edl to find the potential in the two regions.
y
7
Derive an expression for the capacitance of a two concentric spherical shells with radii a and b>a.
8
Find the capacitance per unit length of two coaxial metal cylindrical tubes of radii a and b> a.
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