Where do U.S. senators conduct their work?

U.S. senators conduct their work primarily on Capitol Hill, which is the seat of the United States Congress in Washington, D.C. This term often refers to the complex of government buildings where the Senate and House of Representatives meet. The Senate chambers, offices for each senator, and various committee rooms are all located on Capitol Hill, making it the central hub for legislative activities and decision-making.

The other locations mentioned serve different functions. The State House typically refers to the building where a state legislature meets, which is not related to the federal government. The White House is the official residence and workplace of the President of the United States, not where senators work. City Hall is where local government officials conduct business, which also does not pertain to the work of U.S. senators at the national level. Thus, Capitol Hill is the correct answer as it directly relates to the legislative duties of senators.