what is the energy conversion in a solar cell?

the photoelectric effect. solar cells are photovoltaic cells
that convert sun energy to electricity.

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light energy-chemical energy-electrical energy???

When sunlight hits certain materials, those materials get excited and produce an electric current. Solar cells line these materials up in a grid and channel the electrical current into a cable.

Here's a link: http://www.scientificamerican.com/article/how-does-solar-power-work/