He was born in Coeymans, New York on March 27, 1844, and graduated from Wesleyan University in 1869 and completed an M.A.
[1][2] He pursued additional graduate studies at Yale, Harvard, and the Humboldt University of Berlin.
After serving as professor at Northwestern University, Carhart was appointed to the faculty of the University of Michigan in 1886, where he remained until his retirement as professor emeritus in 1909.
[3] He was a delegate from the United States to several electrical congresses, including those at Chicago, Illinois, 1893, at St. Louis, Missouri, 1904, at Berlin, 1905, and at London, 1908.
Carhart was president of the board of judges at the department of electricity at the World's Columbian Exposition in Chicago in 1893.