[10 pts.] If electric charge is distributed continuously on a curve C, with the charge density (x,y,z), the electric potential V(P) at a point P, which is not on the curve C, is defined to be V(P) = k [ 5(x,y,z)ds where rp = (x,y,z) is the distance C P 2 from P with a point (x,y,z) on C. The constant k = 8.99 × 10° N* and V has units of volts. Now, a charged semicircle of c² radius R centered at the origin in the xy - plane has charge density: 8(x,y, 0) = 10*8 (2-1) ~ Find the electric potential at the point P = (0, 0, a) if R = 0.1m. [see the figure below]. R'm C c 1. [10 pts.] If electric charge is distributed continuously on a curve C, with the charge density 8(x, y, z), the electric potential V(P) at a point P, which is not on the curve C, is defined to be 8(x, y, z) V(P) = k ds TP where rp=rp(x, y, z) is the distance from P with a point (x, y, z) on C. The constant k = 8.99 x 10° N m2/C2 and V has units of volts. Now, a charged semicircle of radius R centered at the origin in the xy-plane has charge density: 8(x, y, 0) = 10-8 (2) C/m Find the electric potential at the point P = (0, 0, a) if R = 0.1 m. [see the figure below]. P-(0.0, a) (R cost, R sin r

[10 pts.] If electric charge is distributed continuously on a curve C, with the charge density (x,y,z), the electric potential V(P) at a point P, which is not on the curve C, is defined to be V(P) = k [ 5(x,y,z)ds where rp = (x,y,z) is the distance C P 2 from P with a point (x,y,z) on C. The constant k = 8.99 × 10° N* and V has units of volts. Now, a charged semicircle of c² radius R centered at the origin in the xy - plane has charge density: 8(x,y, 0) = 10*8 (2-1) ~ Find the electric potential at the point P = (0, 0, a) if R = 0.1m. [see the figure below]. R'm C c 1. [10 pts.] If electric charge is distributed continuously on a curve C, with the charge density 8(x, y, z), the electric potential V(P) at a point P, which is not on the curve C, is defined to be 8(x, y, z) V(P) = k ds TP where rp=rp(x, y, z) is the distance from P with a point (x, y, z) on C. The constant k = 8.99 x 10° N m2/C2 and V has units of volts. Now, a charged semicircle of radius R centered at the origin in the xy-plane has charge density: 8(x, y, 0) = 10-8 (2) C/m Find the electric potential at the point P = (0, 0, a) if R = 0.1 m. [see the figure below]. P-(0.0, a) (R cost, R sin r

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 16OQ: A filament running along the x axis from the origin to x = 80.0 cm carries electric charge with...

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