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Question

The electric field just above the surface of the charged conducting drum of a photocopying machine has a magnitude E of 2.3 105 N/C. What is the surface charge density on the drum?

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Solution

The charged area of the drum, A= 2π x 0.07 x 0.5
= 0.22m²

E = σ/ε0
σ = Eεo
= 2.3x10⁵ x 8.854x10⁻¹²
= 2.036x10⁻⁶ C/m²

Charge = σA
= 2.036x10⁻⁶ x 0.22
= 4.5x10⁻⁷ C

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