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Question:

Electric Field Problem?

A flat square sheet of thin aluminum foil, 30 cm on a side, carries a uniformly distributed 220 nC chargeWhat, approximately, is the electric field 2.0 cm above the center of the sheet? What, approximately, is the electric field 13 m above the center of the sheet?Please leave your answers in N/C.

Answer:

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a) Since 2cm is 30cm, the foil can be considered a uniformly charged infinite planeThen E ≈ σ/(2ε) σ Q / A E ≈ (220nC / [0.3m]?)/(2ε) 1.38x10^5 N/C b) Since 13m is 30cm, the foil can be considered a point chargeThen E ≈ Q/(4πεr?) E ≈ (220nC)/(4πε[13m]?) 11.7 N/C where ε is the electric constant8.85×10^?12 C?/(Nm?)
a) Since 2cm is 30cm, the foil can be considered a uniformly charged infinite planeThen E ≈ σ/(2ε) σ Q / A E ≈ (220nC / [0.3m]?)/(2ε) 1.38x10^5 N/C b) Since 13m is 30cm, the foil can be considered a point chargeThen E ≈ Q/(4πεr?) E ≈ (220nC)/(4πε[13m]?) 11.7 N/C where ε is the electric constant8.85×10^?12 C?/(Nm?)

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