Why phi component is not taken into account for vector R ?See attachment.

In summary, the conversation discusses why the phi component is not considered when calculating the electric field intensity due to a line charge. This is because the position vector in cylinder coordinates does not have a phi component. Instead, it is given by the formula: ##\vec r = \rho \vec e_\rho + z\vec e_z##.
  • #1
Saurabh Sharma
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Why phi component is not taken into account while calculation electric field intensity due to line charge?See attachment for details.https://physicsforums-bernhardtmediall.netdna-ssl.com/data/attachments/74/74211-22d26b27211fd4b186955b890458804e.jpg https://physicsforums-bernhardtmediall.netdna-ssl.com/data/attachments/74/74212-c0d171ced27ce079690ae1924ecc7a04.jpg
 

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  • #2
The position vector in cylinder coordinates does not have a ##\varphi## component, it is given by ##\vec r = \rho \vec e_\rho + z\vec e_z##.
 
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Likes Saurabh Sharma
  • #3
Orodruin said:
The position vector in cylinder coordinates does not have a ##\varphi## component, it is given by ##\vec r = \rho \vec e_\rho + z\vec e_z##.
Thanks for you help.
 

Related to Why phi component is not taken into account for vector R ?See attachment.

1. Why is the phi component not considered for vector R?

The phi component is not taken into account for vector R because vector R is a two-dimensional vector that only considers the x and y components. The phi component, also known as the z component, is only relevant for three-dimensional vectors.

2. What is the purpose of the phi component in vectors?

The phi component is used to determine the direction of a vector in three-dimensional space. It is often represented as the angle between the vector and the positive z-axis.

3. Can the phi component be ignored for all vectors?

No, the phi component is important for vectors in three-dimensional space. It is only ignored for two-dimensional vectors, as they do not have a z component.

4. How does excluding the phi component affect vector calculations?

Excluding the phi component from vector calculations simplifies them, as it reduces the vector from three-dimensional to two-dimensional. This makes calculations easier and more efficient.

5. Is there a way to include the phi component in vector R?

Yes, if you want to include the phi component in vector R, you can convert the vector from two-dimensional to three-dimensional by adding a z component. However, this would change the direction and magnitude of the vector.

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