Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > A 150 MHz uniform plane wave is normally inci...
Start Learning for Free
A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λ in front of the interface. The impedance of material is
- a)502 - j641 Ω
- b)641 - j502 Ω
- c)641 + j502 Ω
- d)502 + j641Ω
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A 150 MHz uniform plane wave is normally incident from air onto a mate...
Most Upvoted Answer
A 150 MHz uniform plane wave is normally incident from air onto a mate...
Given information:
- Frequency of the incident plane wave: 150 MHz
- SWR (Standing Wave Ratio): 3
- Electric field minimum observed at 0.3 inches in front of the interface
Explanation:
1. Understanding SWR (Standing Wave Ratio):
- SWR is a measure of how well a load is matched to a transmission line.
- It is defined as the ratio of the maximum amplitude of the forward wave to the maximum amplitude of the reflected wave.
- SWR = (1 + Γ) / (1 - Γ), where Γ is the reflection coefficient.
2. Relationship between SWR and Reflection Coefficient:
- SWR can be calculated using the reflection coefficient as follows:
- SWR = (1 + |Γ|) / (1 - |Γ|), where |Γ| is the magnitude of the reflection coefficient.
3. Calculation of Reflection Coefficient:
- We are given SWR = 3. Let's calculate the magnitude of the reflection coefficient using the above formula.
- 3 = (1 + |Γ|) / (1 - |Γ|)
- 3(1 - |Γ|) = 1 + |Γ|
- 3 - 3|Γ| = 1 + |Γ|
- 2|Γ| = 2
- |Γ| = 1
4. Definition of Reflection Coefficient:
- The reflection coefficient (Γ) is the ratio of the amplitude of the reflected wave to the amplitude of the incident wave.
5. Relationship between Reflection Coefficient and Impedance:
- The reflection coefficient (Γ) can be related to the impedance (Z) as follows:
- Γ = (Z - Z0) / (Z + Z0), where Z0 is the characteristic impedance of the transmission line.
6. Calculation of Impedance:
- We are given that an electric field minimum is observed at 0.3 inches in front of the interface.
- At an electric field minimum, the voltage is maximum and the current is minimum. This indicates that the load impedance is purely reactive.
- Let's assume the load impedance (Z) is purely reactive, i.e., Z = jX, where X is the reactive component.
- From the given information, we can conclude that X > 0.
7. Calculation of X:
- Let's calculate X using the relationship between Reflection Coefficient and Impedance.
- From step 3, we know that |Γ| = 1.
- |Γ| = |(Z - Z0) / (Z + Z0)| = 1
- |Z - Z0| = |Z + Z0|
- |jX - Z0| = |jX + Z0|
- √(X^2 + Z0^2) = √(X^2 + Z0^2)
- X = X
- This implies that there is no real component in the load impedance (Z).
8. Final Impedance:
- The impedance (Z) is purely reactive, i.e., Z = jX.
- The magnitude of
- Frequency of the incident plane wave: 150 MHz
- SWR (Standing Wave Ratio): 3
- Electric field minimum observed at 0.3 inches in front of the interface
Explanation:
1. Understanding SWR (Standing Wave Ratio):
- SWR is a measure of how well a load is matched to a transmission line.
- It is defined as the ratio of the maximum amplitude of the forward wave to the maximum amplitude of the reflected wave.
- SWR = (1 + Γ) / (1 - Γ), where Γ is the reflection coefficient.
2. Relationship between SWR and Reflection Coefficient:
- SWR can be calculated using the reflection coefficient as follows:
- SWR = (1 + |Γ|) / (1 - |Γ|), where |Γ| is the magnitude of the reflection coefficient.
3. Calculation of Reflection Coefficient:
- We are given SWR = 3. Let's calculate the magnitude of the reflection coefficient using the above formula.
- 3 = (1 + |Γ|) / (1 - |Γ|)
- 3(1 - |Γ|) = 1 + |Γ|
- 3 - 3|Γ| = 1 + |Γ|
- 2|Γ| = 2
- |Γ| = 1
4. Definition of Reflection Coefficient:
- The reflection coefficient (Γ) is the ratio of the amplitude of the reflected wave to the amplitude of the incident wave.
5. Relationship between Reflection Coefficient and Impedance:
- The reflection coefficient (Γ) can be related to the impedance (Z) as follows:
- Γ = (Z - Z0) / (Z + Z0), where Z0 is the characteristic impedance of the transmission line.
6. Calculation of Impedance:
- We are given that an electric field minimum is observed at 0.3 inches in front of the interface.
- At an electric field minimum, the voltage is maximum and the current is minimum. This indicates that the load impedance is purely reactive.
- Let's assume the load impedance (Z) is purely reactive, i.e., Z = jX, where X is the reactive component.
- From the given information, we can conclude that X > 0.
7. Calculation of X:
- Let's calculate X using the relationship between Reflection Coefficient and Impedance.
- From step 3, we know that |Γ| = 1.
- |Γ| = |(Z - Z0) / (Z + Z0)| = 1
- |Z - Z0| = |Z + Z0|
- |jX - Z0| = |jX + Z0|
- √(X^2 + Z0^2) = √(X^2 + Z0^2)
- X = X
- This implies that there is no real component in the load impedance (Z).
8. Final Impedance:
- The impedance (Z) is purely reactive, i.e., Z = jX.
- The magnitude of
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Similar Electronics and Communication Engineering (ECE) Doubts
Top Courses for Electronics and Communication Engineering (ECE)View all
A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer?
Question Description
A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 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 A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer?.
A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 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 A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A 150 MHz uniform plane wave is normally incident from air onto a material. Measurements yield a SWR of 3 and the appearance of an electric field minimum at 0.3λin front of the interface. The impedance of material isa)502 -j641Ωb)641 -j502Ωc)641 + j502 Ωd)502 + j641ΩCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
|
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
x
![]()
For Your Perfect Score in Electronics and Communication Engineering (ECE)
The Best you need at One Place
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup