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An air filled rectangular wave guide has dimensions a = 2, b = 1 cm, the range of frequencies over which guide will operate in single mode is given by:
- a)7.5 GHz < f < 10 GHz
- b)f < 16 GHz
- c)7.5 GHz < f < 22.5 GHz
- d)7.5 GHz < f < 15 GHz
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An air filled rectangular wave guide has dimensions a = 2, b = 1 cm, t...
single mode propagation means only TE|0 mode will propagate.
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An air filled rectangular wave guide has dimensions a = 2, b = 1 cm, t...
Given:
a = 2 cm
b = 1 cm
To find:
The range of frequencies over which the guide will operate in a single mode.
Solution:
The cutoff frequency for the dominant mode in a rectangular waveguide is given by:
fc = (c/2π) √( (m/a)^2 + (n/b)^2 )
Where,
c = speed of light = 3 × 10^8 m/s
m, n = mode numbers
For single-mode operation, m = 1 and n = 0 or vice versa.
So, the cutoff frequency for the TE10 mode is given by:
fc = (c/2π) (1/a)
Substituting the given values, we get:
fc = (3 × 10^8/2π)(1/0.02) = 7.5 GHz
The operating frequency range for single-mode operation is usually taken as 1.5 times the cutoff frequency. So,
fmin = 1.5 × fc = 11.25 GHz
fmax = 1.5 × fc = 11.25 GHz
Therefore, the range of frequencies over which the guide will operate in single mode is:
7.5 GHz ≤ f ≤ 11.25 GHz
a = 2 cm
b = 1 cm
To find:
The range of frequencies over which the guide will operate in a single mode.
Solution:
The cutoff frequency for the dominant mode in a rectangular waveguide is given by:
fc = (c/2π) √( (m/a)^2 + (n/b)^2 )
Where,
c = speed of light = 3 × 10^8 m/s
m, n = mode numbers
For single-mode operation, m = 1 and n = 0 or vice versa.
So, the cutoff frequency for the TE10 mode is given by:
fc = (c/2π) (1/a)
Substituting the given values, we get:
fc = (3 × 10^8/2π)(1/0.02) = 7.5 GHz
The operating frequency range for single-mode operation is usually taken as 1.5 times the cutoff frequency. So,
fmin = 1.5 × fc = 11.25 GHz
fmax = 1.5 × fc = 11.25 GHz
Therefore, the range of frequencies over which the guide will operate in single mode is:
7.5 GHz ≤ f ≤ 11.25 GHz
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An air filled rectangular wave guide has dimensions a = 2, b = 1 cm, the range of frequencies over which guide will operate in single mode is given by:a)7.5 GHz < f < 10 GHzb)f < 16 GHzc)7.5 GHz < f < 22.5 GHzd)7.5 GHz < f < 15 GHzCorrect answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about An air filled rectangular wave guide has dimensions a = 2, b = 1 cm, the range of frequencies over which guide will operate in single mode is given by:a)7.5 GHz < f < 10 GHzb)f < 16 GHzc)7.5 GHz < f < 22.5 GHzd)7.5 GHz < f < 15 GHzCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An air filled rectangular wave guide has dimensions a = 2, b = 1 cm, the range of frequencies over which guide will operate in single mode is given by:a)7.5 GHz < f < 10 GHzb)f < 16 GHzc)7.5 GHz < f < 22.5 GHzd)7.5 GHz < f < 15 GHzCorrect answer is option 'D'. Can you explain this answer?.
An air filled rectangular wave guide has dimensions a = 2, b = 1 cm, the range of frequencies over which guide will operate in single mode is given by:a)7.5 GHz < f < 10 GHzb)f < 16 GHzc)7.5 GHz < f < 22.5 GHzd)7.5 GHz < f < 15 GHzCorrect answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about An air filled rectangular wave guide has dimensions a = 2, b = 1 cm, the range of frequencies over which guide will operate in single mode is given by:a)7.5 GHz < f < 10 GHzb)f < 16 GHzc)7.5 GHz < f < 22.5 GHzd)7.5 GHz < f < 15 GHzCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An air filled rectangular wave guide has dimensions a = 2, b = 1 cm, the range of frequencies over which guide will operate in single mode is given by:a)7.5 GHz < f < 10 GHzb)f < 16 GHzc)7.5 GHz < f < 22.5 GHzd)7.5 GHz < f < 15 GHzCorrect answer is option 'D'. Can you explain this answer?.
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