- #1

- 73

- 2

A

_{t, r}= A

_{φ, r}

If I know that A

_{φ}= r

^{4}, then how do I find A

_{t}?

I believe that the above equation is equivalent to: ∂/∂r (A

_{t}) = ∂/∂r (A

_{φ}) , correct?

Then substitute the value A

_{φ}and we have ∂/∂r (A

_{t}) = ∂/∂r (r

^{4})

And then to get A

_{t}I take the integral on both sides? so eventually A

_{t}= r

^{5}/5 ?