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Question

A charged airplane rises 7.3 km in a 4.3 x 105 N/C electric field. The electrical potential energy changes by -1.93 x 1011 J. What is the charge on the plane?

Earth’s radius is 6.4 x 106 m. What is Earth’s capacitance if it is regarded as a conducting sphere?

Answer 1

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airplane/

EPE = q*V = q*E*d

q = EPE / E*d = -1.93e11J / (4.3e5V/m * 7300m) = -61 C

Earth/

C = 4πε₀R

where ε₀ = 8.85e-12 C²/N·m²

so here C = 4π * 8.85e-12 C²/N·m² * 6.4e6m = 7.1e-4 F

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Source(s): http://hyperphysics.phy-astr.gsu.edu/hbase/electri... Please revisit this working: https://answers.yahoo.com/question/index?qid=20210...