Which process brings energy to the biosphere?

The process that brings energy to the biosphere is PHOTOSYNTHESIS.
Photosynthesis is the process by which energy from the sun is trapped and used to produce food by plants. During photosynthesis, carbon dioxide and water react together in the chloroplast in the presence of sunlight to form starch and oxygen. Oxygen is the by product of the reaction. The energy from the sun is stored inside the starch molecule in form of chemical energy and this energy is made available to the animals when they consume the produced starch. Thus, photosynthesis is the source of all energy in the biosphere.

Generally travels west to east but often shifts to north and south