An infinite, nonconducting sheet has a surface charge density σ = +9.64 pC/m2. (a) How much work is done by the electric field due to the sheet if a particle of charge q0 = 1.60 × 10-19 C is moved from the sheet to a point P at distance d = 3.13 cm from the sheet? (b) If the electric potential V is defined to be zero on the sheet, what is V at P?

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Asked Jun 20, 2019
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An infinite, nonconducting sheet has a surface charge density σ = +9.64 pC/m2. (a) How much work is done by the electric field due to the sheet if a particle of charge q0 = 1.60 × 10-19 C is moved from the sheet to a point P at distance d = 3.13 cm from the sheet? (b) If the electric potential V is defined to be zero on the sheet, what is V at P?

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Expert Answer

Step 1

Given,

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Electric constant, e = 8.85x10-2 Nm2 Surface charge density, o = 9.64 x 1012 C/m2 Particle charge, q, =1.6x1019 C Displacementof charge,d 3.13x10 m Potential at surfaceis zero, V^ = 0

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Step 2

Electric field due to the infinite charge sheet.

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E - 280 (9.64x1012 C/m2 c2 2x 8.85x10-12 Nm2 (outward from the sheet) 0.544 N/C

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Step 3

Force on the charge due t...

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F = qE =(1.6x101 C(0.544 N/C) 8.704 x100 N

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Electrostatic Potential and Capacitance

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