- #1

Felipe Lincoln

Gold Member

- 99

- 11

## Homework Statement

Is ##F=(F_r, F_\theta, F_\varphi)## a conservative force?

##F_r=ar\sin\theta\sin\varphi##

##F_\theta=ar\cos\theta\sin\varphi##

##F_\varphi=ar\cos\varphi##

## Homework Equations

##\nabla\times F=0##

## The Attempt at a Solution

In this case we have to use the curl for spherical coordinates, but since it's clear that every component of this force can be described by cartesian coordinates I'm wondering if there's a way of doing the curl of cartesian coordinates, can we do this conversion ?