Use V(P) = k :/ 3(x, y, z) ds Dp(x, у, 2) where k = 8.99 x 10° N · m²/C², to compute the electric potential V(P) at the point P for the given charge density (in units of 10-6 C/m.) Calculate V(P) at P = (0,0, 16) if the electric charge is distributed along the quarter circle of radius 4 centered at the origin, lying in the first quadrant of the xy-plane with charge density 8(x, y, z) = xy. Suppose that all distances are in meters. Express the value of potential in kV, that is 1000 V.

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Use
V(P) = k
8(х, у, z)
ds
Dp(x, y, z)
where k = 8.99 × 10° N - m²/C², to compute the electric potential V(P) at the point P for the given charge density (in
units of 10-6 C/m.)
Calculate V(P) at P = (0,0, 16) if the electric charge is distributed along the quarter circle of radius 4 centered at the
origin, lying in the first quadrant of the xy-plane with charge density 8(x, y, z) = xy. Suppose that all distances are in
meters. Express the value of potential in kV, that is 1000 V.
(Give your answer to one decimal places.)
V(P) =
kV
Transcribed Image Text:Use V(P) = k 8(х, у, z) ds Dp(x, y, z) where k = 8.99 × 10° N - m²/C², to compute the electric potential V(P) at the point P for the given charge density (in units of 10-6 C/m.) Calculate V(P) at P = (0,0, 16) if the electric charge is distributed along the quarter circle of radius 4 centered at the origin, lying in the first quadrant of the xy-plane with charge density 8(x, y, z) = xy. Suppose that all distances are in meters. Express the value of potential in kV, that is 1000 V. (Give your answer to one decimal places.) V(P) = kV
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