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Find the reflection coefficient of a wave with an incident electric field of 5 units and reflected electric field of 2 units.
- a)2.5
- b)0.4
- c)0.8
- d)1.2
Correct answer is option 'B'. Can you explain this answer?
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Find the reflection coefficient of a wave with an incident electric fi...
Answer: b
Explanation: The reflection coefficient is the ratio of the reflected electric field to the incident electric field. Thus τ = Er/Ei. On substituting for Ei = 5 and Er = 2, we get τ = 2/5 = 0.4(no unit).
Explanation: The reflection coefficient is the ratio of the reflected electric field to the incident electric field. Thus τ = Er/Ei. On substituting for Ei = 5 and Er = 2, we get τ = 2/5 = 0.4(no unit).
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Reflection Coefficient in Wave Propagation
Introduction:
In wave propagation, the reflection coefficient is a measure of the amount of energy reflected by a medium when a wave encounters a boundary between two different media. It is commonly used to describe the behavior of electromagnetic waves.
Given:
- Incident electric field = 5 units
- Reflected electric field = 2 units
Reflection Coefficient:
The reflection coefficient (RC) is defined as the ratio of the amplitude of the reflected wave to the amplitude of the incident wave. Mathematically, it can be expressed as:
RC = (Er) / (Ei)
where Er is the amplitude of the reflected electric field and Ei is the amplitude of the incident electric field.
Calculation:
Given that the incident electric field (Ei) is 5 units and the reflected electric field (Er) is 2 units, we can substitute these values into the reflection coefficient formula:
RC = (2) / (5) = 0.4
Therefore, the reflection coefficient of the wave is 0.4.
Explanation:
The reflection coefficient represents the fraction of energy reflected by the boundary between two media. In this case, the reflection coefficient of 0.4 indicates that 40% of the incident energy is reflected back, while 60% is transmitted into the medium.
It is important to note that the reflection coefficient is a dimensionless quantity and its value ranges from 0 to 1. A reflection coefficient of 0 indicates that no energy is reflected, while a value of 1 indicates that all the incident energy is reflected.
Hence, the correct answer is option 'B' (0.4).
Introduction:
In wave propagation, the reflection coefficient is a measure of the amount of energy reflected by a medium when a wave encounters a boundary between two different media. It is commonly used to describe the behavior of electromagnetic waves.
Given:
- Incident electric field = 5 units
- Reflected electric field = 2 units
Reflection Coefficient:
The reflection coefficient (RC) is defined as the ratio of the amplitude of the reflected wave to the amplitude of the incident wave. Mathematically, it can be expressed as:
RC = (Er) / (Ei)
where Er is the amplitude of the reflected electric field and Ei is the amplitude of the incident electric field.
Calculation:
Given that the incident electric field (Ei) is 5 units and the reflected electric field (Er) is 2 units, we can substitute these values into the reflection coefficient formula:
RC = (2) / (5) = 0.4
Therefore, the reflection coefficient of the wave is 0.4.
Explanation:
The reflection coefficient represents the fraction of energy reflected by the boundary between two media. In this case, the reflection coefficient of 0.4 indicates that 40% of the incident energy is reflected back, while 60% is transmitted into the medium.
It is important to note that the reflection coefficient is a dimensionless quantity and its value ranges from 0 to 1. A reflection coefficient of 0 indicates that no energy is reflected, while a value of 1 indicates that all the incident energy is reflected.
Hence, the correct answer is option 'B' (0.4).
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Find the reflection coefficient of a wave with an incident electric field of 5 units and reflected electric field of 2 units.a)2.5b)0.4c)0.8d)1.2Correct answer is option 'B'. Can you explain this answer?
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