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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

Question

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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Solution

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

Γ=ZLZ0ZL+Z0 \Gamma = \frac{Z_L - Z_0}{Z_L + Z_0}

where Γ \Gamma is the voltage reflection coefficient, ZL Z_L is the load impedance, and Z0 Z_0 is the characteristic impedance of the transmission line.

Given that the load impedance (ZL Z_L ) is 50 ohms and the characteristic impedance (Z0 Z_0 ) is 75 ohms, we can substitute these values into the formula:

Γ=507550+75 \Gamma = \frac{50 - 75}{50 + 75}

Simplifying the equation:

Γ=25125 \Gamma = \frac{-25}{125}

Γ=0.2 \Gamma = -0.2

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

This problem has been solved

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