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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?
Verified Answer
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).
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Find the reflection coefficient of a wave with an incident electric fi...
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).
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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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