The Hovering Soap Bubble · AI Generator #GEN-D79D4758

Physics · electromagnetism

Problem

A thin spherical soap bubble of radius R=2.0  cmR = 2.0\;\text{cm} is given a uniform electric charge Q=4.5×10−12  CQ = 4.5 \times 10^{-12}\;\text{C}. The bubble hovers motionless in the air when placed in a uniform electric field pointing vertically upward. The soap film has a density ρ=1000  kg/m3\rho = 1000\;\text{kg/m}^3 and thickness t=2.0×10−6  mt = 2.0 \times 10^{-6}\;\text{m}. What is the magnitude of the electric field required to keep the bubble floating? Take g=9.8  m/s2g = 9.8\;\text{m/s}^2.

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