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In 1831 Gauss developed a fruitful collaboration with the physics professor Wilhelm Weber, leading to new knowledge in magnetism ( including finding a representation for the unit of magnetism in terms of mass, length and time ) and the discovery of Kirchhoff's circuit laws in electricity.
It was during this time that he formulated his namesake law.
They constructed the first electromechanical telegraph in 1833, which connected the observatory with the institute for physics in Göttingen.
Gauss ordered a magnetic observatory to be built in the garden of the observatory, and with Weber founded the " Magnetischer Verein " ( magnetic club in German ), which supported measurements of Earth's magnetic field in many regions of the world.
He developed a method of measuring the horizontal intensity of the magnetic field which was in use well into the second half of the 20th century, and worked out the mathematical theory for separating the inner and outer ( magnetospheric ) sources of Earth's magnetic field.
Gauss ' Law for relating the distribution of electric charge to the resulting electric field was formulated in 1835, but was not published until 1867.

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