The Plasma Ball Sphere · AI Generator #GEN-3310DB44

Physics · electromagnetism

Problem

A decorative plasma ball consists of a metal sphere of radius R=8.0  cmR = 8.0\;\text{cm} surrounded by low-pressure gas. When plugged in, the sphere develops a uniform surface charge density. A curious student holds a small conducting probe at distance d=12  cmd = 12\;\text{cm} from the center of the sphere and measures an electric field strength of E=4.5×104  N/CE = 4.5 \times 10^4\;\text{N/C} pointing radially outward from the sphere center. What is the total charge QQ on the metal sphere?

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