# Problem 1 Rectangular Cavity Resonator - Microwave Resonators - Microwave Engineering | Summary and Q&A

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April 5, 2022
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Problem 1 Rectangular Cavity Resonator - Microwave Resonators - Microwave Engineering

## TL;DR

Calculate the resonant frequency of a rectangular cavity resonator with given dimensions using the TE 1 0 1 mode of operation.

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### Q: What are the parallel and resonant types of circuitry discussed in microwave engineering?

The parallel and resonant types of circuitry in microwave engineering refer to different circuit configurations that can be used in microwave applications. The parallel configuration involves connecting components in parallel, while the resonant configuration focuses on achieving resonance in the circuit.

### Q: How can waveguides be converted into cavity resonators?

Waveguides can be converted into cavity resonators by closing the two openings of the waveguide with shorting plates. This effectively transforms a rectangular waveguide into a rectangular cavity resonator and a circular waveguide into a circular cavity resonator.

### Q: What factors are considered in determining the resonant frequency of a rectangular cavity resonator?

The resonant frequency of a rectangular cavity resonator is determined by factors such as the dimensions of the resonator (length, breadth), the mode of operation (TE MNP), and the velocity of light in air or vacuum.

### Q: How do you calculate the resonant frequency of a rectangular cavity resonator?

The resonant frequency of a rectangular cavity resonator can be calculated using the formula Fr = (C/2) * [(M/a)^2 + (N/b)^2 + (P * λ/2d)^2]^0.5, where C is the velocity of light, M, N, and P are mode parameters, a and b are the dimensions of the resonator, and d is the length.

## Summary & Key Takeaways

• The video discusses the parallel and resonant types of circuitry in microwave engineering, along with open and short-circuited conditions in microwave transmission lines.

• The video also covers the conversion of waveguides into cavity resonators, specifically rectangular and circular waveguides into rectangular and circular cavity resonators.

• The problem statement in the video involves calculating the resonant frequency of a rectangular cavity resonator with specific dimensions and TE 1 0 1 mode of operation.