of Assig A solid disk of radius R = 13 cm lies in the y-z plane with the center at the origin. The disk carries a uniformly distributed total charge Q = 55 μC. A point P is located on the positive half of the x-axis a distance 29 cm from the origin. Refer to the diagram, where the y- and z-axes lie in the plane of the screen and the x- axis points out of the screen. x-axis R y-axis Part (a) ✓ Enter an expression for the surface charge density σ in terms of the total charge and radius of the disk. σ = Q(R²) ✓Correct! Part (b) ✓ Consider a thin ring of the disk of width dr located a distance from the center. Enter an equation for the infinitesimal charge in this thin ring in terms of Q, R, r, and dr. do (2 Qr dr)/R² ✓ Correct! Part (c) Calculate the electric potential at P, in kilovolts. V= Part (d) Calculate the magnitude of the electric field at the point P in units of meganewtons per coulomb. 296 98% mpt 2%

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter24: Electric Fields
Section: Chapter Questions
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of Assig
A solid disk of radius R = 13 cm lies in the y-z plane with the center at the origin. The disk carries a
uniformly distributed total charge Q = 55 μC. A point P is located on the positive half of the x-axis a distance
29 cm from the origin. Refer to the diagram, where the y- and z-axes lie in the plane of the screen and the x-
axis points out of the screen.
x-axis
R
y-axis
Part (a) ✓
Enter an expression for the surface charge density σ in terms of the total charge and radius of the disk.
σ = Q(R²) ✓Correct!
Part (b) ✓
Consider a thin ring of the disk of width dr located a distance from the center. Enter an equation for the infinitesimal charge in this thin ring in terms of Q, R, r, and
dr.
do (2 Qr dr)/R² ✓ Correct!
Part (c)
Calculate the electric potential at P, in kilovolts.
V=
Part (d)
Calculate the magnitude of the electric field at the point P in units of meganewtons per coulomb.
296
98%
mpt
2%
Transcribed Image Text:of Assig A solid disk of radius R = 13 cm lies in the y-z plane with the center at the origin. The disk carries a uniformly distributed total charge Q = 55 μC. A point P is located on the positive half of the x-axis a distance 29 cm from the origin. Refer to the diagram, where the y- and z-axes lie in the plane of the screen and the x- axis points out of the screen. x-axis R y-axis Part (a) ✓ Enter an expression for the surface charge density σ in terms of the total charge and radius of the disk. σ = Q(R²) ✓Correct! Part (b) ✓ Consider a thin ring of the disk of width dr located a distance from the center. Enter an equation for the infinitesimal charge in this thin ring in terms of Q, R, r, and dr. do (2 Qr dr)/R² ✓ Correct! Part (c) Calculate the electric potential at P, in kilovolts. V= Part (d) Calculate the magnitude of the electric field at the point P in units of meganewtons per coulomb. 296 98% mpt 2%
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