For a 75 OHM transmission line with 50 ohm load impedance, the voltage reflection coefficient will be _____Select one:a. - 0.2b. - 0.5c. 0.5d. 0.2

Question

For a 75 OHM transmission line with 50 ohm load impedance, the voltage reflection coefficient will be _____

Select one:

a. - 0.2
b. - 0.5
c. 0.5
d. 0.2

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Solution

To find the voltage reflection coefficient, we can use the formula:

$\Gamma = \frac{Z_L - Z_0}{Z_L + Z_0}$

where $\Gamma$ is the voltage reflection coefficient, $Z_L$ is the load impedance, and $Z_0$ is the characteristic impedance of the transmission line.

Given that the load impedance ( $Z_L$ ) is 50 ohms and the characteristic impedance ( $Z_0$ ) is 75 ohms, we can substitute these values into the formula:

$\Gamma = \frac{50 - 75}{50 + 75}$

Simplifying the equation:

$\Gamma = \frac{-25}{125}$

$\Gamma = -0.2$

Therefore, the voltage reflection coefficient is -0.2. So, the correct answer is option a. -0.2.

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For a 75 OHM transmission line with 50 ohm load impedance, the voltage reflection coefficient will be _____Select one:a. - 0.2b. - 0.5c. 0.5d. 0.2

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