Recent content by the_fater

Thanks for the hint! Here's my idea below. I hope I'm on the right track! Spherical Dipole Moment = ##\int \rho(\vec r) \vec r \, dV##. For the upper hemisphere = ##\int_{0}^{\pi/2} \int_{0}^{2\pi} \int_{0}^{R} \frac {3Q} {2 \pi R^3} \vec r r^2 \sin(\theta) \, dr \, d\phi \, d\theta ##. For the...

I'm considering the calculation of the volume charge density ##\rho## for the two hemispheres. It can be obtained by dividing the total charge of each hemisphere by its volume. The volume of a hemisphere is given by ##\frac {2}{3} \pi R^3##. Therefore, the volume charge density for the upper...

Thank you for noticing. It's Q/V, sorry for the typo.

My thought: First of all, I find the upper hemisphere (with a total charge +Q): ##ρ(\vec r)=\frac {V} {Q}## where V is the volume of the upper hemisphere = ## \frac {2} {3} \pi R^3##. Secondly, find the lower hemisphere (with a total charge −Q): ##ρ(\vec r)=\frac {V} {Q}## where V is the volume...