# Determine the value of (f/f_c) at which the attenuation constant due to conductor losses in an a x b rectangular waveguide for the TE10 mode is a minimum. Determine the same for the TM11 mode is a mi

The value of (f/f_c) at which the attenuation constant due to conductor losses in an a x b rectangular waveguide for the TE10 mode is a minimum can be determined by using Maxwell’s equations. As per Maxwell’s equations, the electric and magnetic fields within any waveguide must satisfy certain boundary conditions along all walls of the waveguide. The boundary conditions are such that they require both E-field and H-field to be zero at all four walls of a waveguide.

When considering losses due to conductors, these losses occur when electric field components parallel with the direction of the current flow through the conductor. This will create Ohmic heating resulting in power loss from the system. To minimize these losses, it is important to reduce or eliminate parallel components of E-field at each wall of a rectangular waveguide.

### Determine the value of (f/f_c) at which the attenuation constant due to conductor losses in an a x b rectangular waveguide for the TE10 mode is a minimum.

In order for this reduction or elimination to occur, f/f_c should lie between 0.645 and 0.707 as these values correspond to minimum impedance matching thus minimizing reflection and therefore reducing conduction losses on all four sides of a rectangular waveguide . These values also represent resonance points where waves travelling along opposite edges reach their anti-nodes simultaneously thus producing maximum output power with reduced conduction loss.

Ultimately this shows us that proper selection frequency ratio parameter critical point view reducing overall attenuation seen within given structure order achieve desired results end day hence importance understanding basics electromagnetics behind principles form transmission propagation so can make most out available resources tools time being able optimize performance system highest efficiency possible….. In conclusion determining value (f/f_c) where attenuation constant due conductor losses an axb rectangular waveguide TE10 mode reaches its lowest point requires knowledge electrical engineering fundamentals combined analytical ability determine best configuration parameters possible bring about positive outcome desired terms total amount loss obtained further usage betterment mankind anytime anywhere need arise….

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