Recent content by Nitacii
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Find the field inside and outside a spherical geometry
That's why I utilised the Hertz vectors, this automatically sets the correct dependence the on ##\theta##. If we reconstruct the vector potential ##\mathbf{A}## we get $$ \mathbf{A} = \nabla \times \boldsymbol{\Pi} = - \sin \theta \frac{\partial}{\partial r} \Pi_z(r,t) \hat{\boldsymbol{\phi}} =...- Nitacii
- Post #3
- Forum: Advanced Physics Homework Help
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Find the field inside and outside a spherical geometry
So I tried to solve this using the Hertz potentials. I choose the magnetic one since this one corresponds to the magnetisation. Before I start let me note that I denote a unit vector with a hat, while ##{x,y,z}## are the Cartesian coordinates and ##{r,\theta,\phi}## are the spherical...- Nitacii
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- Charged sphere elecromagnetism Electrodyanmics
- Replies: 2
- Forum: Advanced Physics Homework Help
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Integrate source terms for test EM field in Kerr spacetime
For clarity I finished the calculation using rules for Spin-Weighted Spherical harmonics and corrected a typo. I've modified the notebook and the pdf. But the problem of course remains.- Nitacii
- Post #2
- Forum: Advanced Physics Homework Help
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Integrate source terms for test EM field in Kerr spacetime
Hello, the Homework Statement is quite long, since it includes a lot of equations so I will rather post the as images as to prevent mistypes. We need to find the integral where with $$ J_m =(\sqrt{2}(r−ia\cosθ))^{−1} i(r^2+a^2)\sin(θ)j, $$ $$ J_n = - \frac{a \Delta}{ 2 \Sigma} \sin(\theta...- Nitacii
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- Definite integral Electromagetism General relaivity Kerr metric Tetrad
- Replies: 1
- Forum: Advanced Physics Homework Help