As with many inventions there is no simple answer.
The electric cell was invented not discovered.
The Daniel cell (1836) is possibly the first example of electric cells, these were an improvement on the Leyden jars (1745), independently invented by Kliest and Musschenbroek. These were more like what we would refer to as capacitors.
Volta then improved these further to what we would recognised today as a battery. That is, several 'cells' connected together which he referred to as a 'Crown of Cups'.
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The concept of the electron was first proposed by J.J. Thomson in 1897 through his experiments with cathode rays. Thomson's work laid the foundation for our understanding of the basic building blocks of atoms.
Charles Oatley in 1952 discovered the electron scanning microscope, but Max Knott created the first prototype of the SEM in 1935.
Thomson, Townsend and Wilson are credited for the discovery of electron in 1991.
J.J. Thomson discovered the first subatomic particle, the electron, in the late 19th century through his experiments with cathode rays. This discovery led to the understanding that atoms contain subatomic particles.
The cell was first discovered by Robert Hooke in 1665. He was born in 1635.
They were never invented. They were discovered by various people at various times: Ernest Rutherford effectively discovered protons, around 1910, with his famous gold film experiment. He is usually "officially" credited with the discovery for his work in 1919. The electron was discovered in 1897 by J.J. Thomson. The neutron was discovered in 1932 by James Chadwick.