Is There a Mistake in Determining Conservative Fields?

Thread starter unscientific
Start date Apr 10, 2013
Tags

Fields Integral Line Line integral

Apr 10, 2013

unscientific

Homework Statement

Homework Equations

The Attempt at a Solution

I used ∇ X F for part (a) and part (b) and found both to be ≠ 0. Thus both cases F is not conservative.

I have no clue about the second part, as both arent conservative...

Physics news on Phys.org

Apr 10, 2013

Simon Bridge

Science Advisor

Homework Helper

Well either there is nothing to be done for the second part or you made a mistake in the first part.

Thread 'Direction of the magnetic field of an oscillating charge'

Hello everyone, I’m considering a point charge q that oscillates harmonically about the origin along the z-axis, e.g. $$z_{q}(t)= A\sin(wt)$$ In a strongly simplified / quasi-instantaneous approximation I ignore retardation and take the electric field at the position ##r=(x,y,z)## simply to be the “Coulomb field at the charge’s instantaneous position”: $$E(r,t)=\frac{q}{4\pi\varepsilon_{0}}\frac{r-r_{q}(t)}{||r-r_{q}(t)||^{3}}$$ with $$r_{q}(t)=(0,0,z_{q}(t))$$ (I’m aware this isn’t...

View full post »

Thread 'Initial conditions for orbits around a wormhole'

Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...

View full post »