Given:
- Incident power = 16 units
- Reflection coefficient = 0.5

To find:
The power transmitted by the wave.

Solution:
When a wave is incident on a boundary between two media, it can be partially reflected and partially transmitted. The power of the incident wave is divided into the power of the reflected wave and the power of the transmitted wave.

Power Reflection Coefficient:
The power reflection coefficient (PRC) is a measure of the amount of power reflected by a boundary. It is defined as the ratio of the power of the reflected wave to the power of the incident wave.

PRC = Power of Reflected Wave / Power of Incident Wave

Given that the reflection coefficient is 0.5, we can calculate the power of the reflected wave:

PRC = 0.5
Power of Reflected Wave = PRC * Power of Incident Wave
Power of Reflected Wave = 0.5 * 16
Power of Reflected Wave = 8 units

Power Transmission Coefficient:
The power transmission coefficient (PTC) is a measure of the amount of power transmitted through a boundary. It is defined as the ratio of the power of the transmitted wave to the power of the incident wave.

PTC = Power of Transmitted Wave / Power of Incident Wave

Since power is conserved, the sum of the power of the reflected wave and the power of the transmitted wave equals the power of the incident wave:

Power of Reflected Wave + Power of Transmitted Wave = Power of Incident Wave

Substituting the values we have:

8 + Power of Transmitted Wave = 16
Power of Transmitted Wave = 16 - 8
Power of Transmitted Wave = 8 units

Therefore, the power transmitted by the wave is 8 units.