Given Information:
- Characteristic impedance (Z0) = 50 ohm
- Reflection coefficient (Γ) = 0.268
- Input voltage (Vin) = 15V

Calculating the Reflection Coefficient:
The reflection coefficient (Γ) is given by the formula:
Γ = (ZL - Z0) / (ZL + Z0)

Where ZL is the load impedance.

Rearranging the formula, we can find the load impedance (ZL):
ZL = Z0 * ((1 + Γ) / (1 - Γ))

Substituting the values:
ZL = 50 * ((1 + 0.268) / (1 - 0.268))
ZL = 50 * (1.268 / 0.732)
ZL = 86.34 ohm

Calculating Power Delivered to the Load:
The power delivered to the load (PL) can be calculated using the formula:
PL = (Vin^2) / (8 * ZL)

Substituting the values:
PL = (15^2) / (8 * 86.34)
PL = 225 / 690.72
PL ≈ 0.326 W

Therefore, the net power delivered to the load is approximately 0.326 Watts.

Explanation:
When an electrical signal travels from a source to a load, it encounters a transmission line with a characteristic impedance (Z0). The reflection coefficient (Γ) represents the ratio of the reflected voltage to the incident voltage at the load. It provides information about the impedance mismatch between the transmission line and the load.

By using the given reflection coefficient, we can calculate the load impedance (ZL) using the formula mentioned above. In this case, the load impedance is approximately 86.34 ohms.

Once we have the load impedance, we can calculate the power delivered to the load using the formula for power transmission in a transmission line. The power delivered to the load depends on the square of the input voltage (Vin^2) and the load impedance (ZL). In this case, the power delivered to the load is approximately 0.326 Watts.

This calculation helps in understanding the power transfer efficiency and the impact of impedance matching on the transmission line.

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