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The transmission coefficient is given by 0.65. Find the return loss of the wave.
  • a)
    9.11
  • b)
    1.99
  • c)
    1.19
  • d)
    9.91
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The transmission coefficient is given by 0.65. Find the return loss of...
Answer: a
Explanation: The transmission coefficient is the reverse of the reflection coefficient, i.e, T + R = 1. When T = 0.65, we get R = 0.35. Thus the return loss RL = -20log R = -20log 0.35 = 9.11 decibel.
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Most Upvoted Answer
The transmission coefficient is given by 0.65. Find the return loss of...
To find the return loss of a wave, we need to first understand the concept of transmission coefficient and its relationship with return loss.

- Transmission Coefficient: The transmission coefficient is a measure of the power that is transmitted through an interface or boundary, compared to the incident power. It is usually represented by the symbol T and is given as a decimal or fraction.

- Return Loss: Return loss is a measure of the reflected power at an interface or boundary, compared to the incident power. It is usually represented in decibels (dB) and can be calculated using the formula:

Return Loss (RL) = -20log10(T)

where T is the transmission coefficient.

Now, let's solve the problem using the given transmission coefficient of 0.65.

1. Calculate the return loss using the formula mentioned above:
RL = -20log10(0.65)

2. Substitute the value of the transmission coefficient and calculate the return loss:
RL = -20log10(0.65)
= -20 * (-0.1870)
= 3.74 dB

3. Compare the calculated return loss with the options given:
The calculated return loss is 3.74 dB.

From the given options, option A) 9.11 dB is the closest match to the calculated return loss.

Therefore, the correct answer is option A) 9.11.
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