Wavelength/Frequency inside a cavity

AI Thread Summary
The discussion focuses on a mathematical transition between equations 3.45 and 3.46 in a provided resource. The user initially expresses confusion about how the term (f2/c3) transforms into λ-4. Upon further reflection, the user realizes that the explanation is found in earlier parts of the derivation. This highlights the importance of reviewing prior equations for clarity in complex mathematical concepts. The conversation emphasizes the interconnectedness of mathematical steps in deriving physical principles.
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Ah, I just figured it out! The answer lies in the earlier part of the derivation. D'oh!
 
Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'

Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'

I am reading the Griffith, Electrodynamics book, 4th edition, Example 4.8. I want to understand some issues more correctly. It's a little bit difficult to understand now. > Example 4.8. Suppose the entire region below the plane ##z=0## in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility ##\chi_e##. Calculate the force on a point charge ##q## situated a distance ##d## above the origin. In the page 196, in the first paragraph, the author argues as follows ...
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Thread 'Inducing EMF Through a Coil: Understanding Flux'

Thread 'Inducing EMF Through a Coil: Understanding Flux'

Thank you for reading my post. I can understand why a change in magnetic flux through a conducting surface would induce an emf, but how does this work when inducing an emf through a coil? How does the flux through the empty space between the wires have an effect on the electrons in the wire itself? In the image below is a coil with a magnetic field going through the space between the wires but not necessarily through the wires themselves. Thank you.
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