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    What is the potential energy of a 3.2 nC charge placed at x = 0.5 m in units of nJ.

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    An infinite sheet of charge that has a surface charge density of 28 nC/m2 lies in the yz plane, passes through the origin, and is at a potential of 0.8 kV. A long wire having a linear charge density of 116 nC/m lies parallel to the y axis and intersects the x axis at 2m.

    What is the potential energy of a 3.2 nC charge placed at x = 0.5 m in units of nJ.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:14 pm ad1c9bdddf
    https://brainmass.com/physics/electric-magnetic-fields/potential-energy-charge-placed-8767

    Solution Preview

    Electric field on x-axis due to infinite sheet:
    E(sheet) = s/2*ep
    where, s (== sigma = surface charge density) =28 nC/m^2 =28*10^(-9) C
    ep (== epsilon zero) = 8.86*10^(-12) C^2/N-m^2
    therefore,
    E = 28*10^(-9)/(2*8.86*10^(-12)) = 1.58*10^3 V/m
    because,
    dV = -E*dx
    => V = -E.x + constant
    at ...

    Solution Summary

    Electric fields on an x-axis due to infinite sheet is examined. The potential energy for a charge is calculated. With good explanations, the formulas and calculations are shown in solving the problem.

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