Hi All,
I need mathematical help from the topic electrical potential for lectures on physics by Richard Feynman.
Need some help to understand mathematical method used here.
question :
1) From electrical potential.png
( how this partial differential of ( -p/4∏ε (z/r^3)) with respect to z
⇔ -p/4∏ε (1/r^3 - 3z^2 / r^5) ?
similarly how to do partial differentiation with respect to x
2) From perpendicular_field.png
( how this E = p/4∏ε * 3z/r^5 √(x^2 + y^2) ⇔ p/4∏ε * (3 cosθsinθ/r^3)
Please look for attachments
I need mathematical help from the topic electrical potential for lectures on physics by Richard Feynman.
Need some help to understand mathematical method used here.
question :
1) From electrical potential.png
( how this partial differential of ( -p/4∏ε (z/r^3)) with respect to z
⇔ -p/4∏ε (1/r^3 - 3z^2 / r^5) ?
similarly how to do partial differentiation with respect to x
2) From perpendicular_field.png
( how this E = p/4∏ε * 3z/r^5 √(x^2 + y^2) ⇔ p/4∏ε * (3 cosθsinθ/r^3)
Please look for attachments