Use 6(x, y, z) ds Dp(x, y, z) V(P) = k 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 = (0,0,6) if the electric charge is distributed along the quarter circle of radius 3 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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 35CR
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Use
8(x, y, z)
ds
Dp(x, y, z)
V(P) = k
C
where k = 8.99 x 10° N m2/C, 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 = (0,0,6) if the electric charge is distributed along the quarter circle of radius 3 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) 2
kV
Transcribed Image Text:Use 8(x, y, z) ds Dp(x, y, z) V(P) = k C where k = 8.99 x 10° N m2/C, 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 = (0,0,6) if the electric charge is distributed along the quarter circle of radius 3 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) 2 kV
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