• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Attempt at volume integration to compute the full field equation

488
14
You don't need any rotation matrices. Just choose a new set of variables - (r, θ,φ), with the z-axis pointing along r'.
Does that imply that my possible solution is incorrect, since it can't be expressed solely in terms of r' and the a's?

And we're integrating over a 3-D field, I was thinking, when we rotate r' into alignment with the z-axis, the 3-D field rotates as well.
 

phyzguy

Science Advisor
4,113
1,126
A better way to think of it is that you are leaving the r' vector unchanged, but using a different set of (x,y,z) variables to do the integration.
 
488
14
A better way to think of it is that you are leaving the r' vector unchanged, but using a different set of (x,y,z) variables to do the integration.
hmm, but that seems like a case of relative motion; the vector unchanged and the co-ordinate system rotating, or the vector rotating and the co-ordinate system unchanged. The mathematical result should be the same.
 

Want to reply to this thread?

"Attempt at volume integration to compute the full field equation" You must log in or register to reply here.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top