Final answer:
The sodium-potassium pump is the electrogenic transporter that moves a net charge across the membrane by transporting three sodium ions out and two potassium ions into the cell, using ATP for energy.
Step-by-step explanation:
The electrogenic transporter that translocates a net charge across the membrane is B) the sodium-potassium pump. This active transport mechanism utilizes energy from ATP to move three sodium ions (Na+) out of the cell and two potassium ions (K+) into the cell, creating an electrochemical gradient. Because it moves a different number of ions in each direction, it results in a net movement of charge across the cell membrane and is therefore electrogenic.