A pressure equalization apparatus can include separate longitudinal bores which form a continuous flowpath, the flowpath alternating direction between the bores, and the bores being interconnected at opposite ends thereof. A well system can include a well tool with a chamber therein containing an assembly in a dielectric fluid, and a pressure equalization apparatus including a flowpath having one end connected to the chamber, and the other end connected to a source of a another fluid, the flowpath extending in opposite directions between the flowpath ends through multiple separate bores. A method of installing a well tool can include attaching a mandrel to the well tool, then lowering the well tool at least partially into the well suspended from the mandrel, and then securing a pressure equalization apparatus to the mandrel, a flowpath of the apparatus being connected to a chamber of the well tool containing an assembly.