particles in plane polar coordinates(adsbygoogle = window.adsbygoogle || []).push({});

r=rcosθ i + rsinθ k

F= F_{er}+ F_{eθ}

∂r/∂r =|∂r/∂r|_{er}= (cos^{2}θ + sin^{2}θ)½_{er}=er

why

∂r/∂θ =|∂r/∂θ|_{eθ}= (r^{2}cos^{2}θ + r^{2}sin^{2}θ)½_{eθ}= r_{eθ}

I understand that ∂r/∂θ = -rsinθ + rcosθ butwhy∂r/∂θ = (r^{2}cos^{2}θ + r^{2}sin^{2}θ)½_{eθ}

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# I Question about vector calculus

Tags:

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads for Question vector calculus | Date |
---|---|

Question about conditions for conservative field | May 26, 2015 |

Divergence Theorem Question (Gauss' Law?) | May 4, 2015 |

Vector Calculus Theorems - Duality Question | Aug 14, 2013 |

Vector calculus quick question | Mar 10, 2013 |

Vector Calculus Question about Surface Integrals | Dec 4, 2012 |

**Physics Forums - The Fusion of Science and Community**