Recent content by baby_1
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Plane Wave Reflection from a Media Interface (Good Conductor)
Hi, Below are the expressions for the electric (E) and magnetic (H) fields in a good conductor. Using those, the Poynting vector can be determined as follows. By applying the appropriate conversions and starting from these equations, we obtain: However, the result differs from the one in...- baby_1
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- Maxwell's equation
- Replies: 0
- Forum: Advanced Physics Homework Help
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Why does the propagation constant in the Helmholtz equation include j?
I realized my mistake: in the main equation, the sign of the propagation constant should be negative. Thank you once again for your help!- baby_1
- Post #4
- Forum: Introductory Physics Homework Help
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Why does the propagation constant in the Helmholtz equation include j?
Dear TSny, Thank you for your help. In many electromagnetics resources, I have noticed that the propagation constant is often represented with a "j," but I am having trouble understanding why this is the case. I have attached one of the references for your review.- baby_1
- Post #3
- Forum: Introductory Physics Homework Help
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Why does the propagation constant in the Helmholtz equation include j?
Here is my question: $$ \nabla^2 \bar{E} + \omega^2 \mu \left( 1 - j \frac{\sigma}{\omega} \right) \bar{E} = 0 $$ where $$ \gamma = \alpha + j \beta $$ $$ \gamma^2 = \omega^2 \mu \left( 1 - j \frac{\sigma}{\omega} \right) $$ $$ \gamma = j \sqrt{ \omega^2 \mu \left( 1 - j...- baby_1
- Thread
- Replies: 3
- Forum: Introductory Physics Homework Help
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A Obtaining a variable value from a 5-th degree polynomial in the tangent form
Thank you very much for your response. Yes, the optimization is performed numerically. So it means I should use the numerical form of the above equation instead of the analytical form.- baby_1
- Post #5
- Forum: Differential Equations
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A Obtaining a variable value from a 5-th degree polynomial in the tangent form
I appreciate your help. Yes, I don't understand how they obtain ##\rho (\phi)## for different values of ##\phi## -because this equation should be solved for many values of ##\phi##. No, the FDIWO is the acronym of frequency-dependent IWO- an optimization algorithm to find the C0 to Cn values-.- baby_1
- Post #3
- Forum: Differential Equations
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A Obtaining a variable value from a 5-th degree polynomial in the tangent form
Hello, Please see this part of the article. I need to obtain the ##\rho (\phi)## value after obtaining the c0 to c5 constants of the ##\sigma (\phi)##. But as you can see after finding the coefficients, solving Eq.(1) could be a demanding job(I wasn't able to calculate the integral of Eq(1)...- baby_1
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- Derivation Integral
- Replies: 4
- Forum: Differential Equations
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The relation between the normal and the slope of a cylindrical curve
Thank you Malawi_glenn, Yes, it seems the administrators changed the group of my question. My question is part of an article instead of a textbook.- baby_1
- Post #3
- Forum: Calculus and Beyond Homework Help
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The relation between the normal and the slope of a cylindrical curve
As you can see in this picture: This explanation "relation between the normal and the slope of a curve" is formulated here: $$\frac{1}{\rho} \frac{d\rho }{d\psi }=\tan\left(\frac{\theta+\psi}{2}\right)$$ I got confused because I don't have the curve equation(regarding the slope of the curve...- baby_1
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- Curve Cylindrical Normal Relation Slope
- Replies: 2
- Forum: Calculus and Beyond Homework Help
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Violate current conservation in Perfect Magnetic Conductor (PMC)
Thanks berkeman, Regarding this web page, I am curious to know why the electric currents should be zero. In addition, which parameter in PMC is infinite( for example for perfect electric conductor(PEC) the conductivity (sigma) is infinite).- baby_1
- Post #3
- Forum: Advanced Physics Homework Help
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Violate current conservation in Perfect Magnetic Conductor (PMC)
Hello, I need to know why having an electric current in Prefect Magnetic Conductor(PMC) violate current conservation. Based on the boundary conditions or lorentz force or ..., I couldn't be successful to prove that surface current can violate current conservation. In the textbooks, they...- baby_1
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- Conductor Conservation Current Magnetic
- Replies: 2
- Forum: Advanced Physics Homework Help
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Potential outside a grounded conductor with point charge inside
I highly recommend to read this book.- baby_1
- Post #8
- Forum: Advanced Physics Homework Help
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Potential outside a grounded conductor with point charge inside
Dear daiisibil, First, It is not the image theorem when the surface is not limited. It is just a simple question: if we have a conductor near a positive charge, based on the free electron which exist on the conductor they are affected by the charge electric field and they sit on the conductor...- baby_1
- Post #7
- Forum: Advanced Physics Homework Help
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Potential outside a grounded conductor with point charge inside
Based on the Gaussian law qin is the charge which is enclosed by the surface not out of the Gaussian surface. Total charge which is the sum of +q and induced charge is equal to each other and cancel each other( when the sphere is grounded). If sphere is not grounded the the Total charge out of...- baby_1
- Post #5
- Forum: Advanced Physics Homework Help
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Modes in a cylindrical dielectric waveguide
Dear Delta2, if cylindrical dielectric wave-guide without the PEC body is assumed the user should calculate the above equation which has been obtained by separation of variables for outside and inside of wave-guide and then connect them via boundary conditions. But I thought that the user is...- baby_1
- Post #5
- Forum: Advanced Physics Homework Help