+Q dQ Consider a thin plastic rod bent into a semicircular arc of radius R with center at the origin as shown in the figure. The rod carries a unformity distributed positive charge +Q Let a point on the arc be specified by an angle, where is measured from the positive y axis and increases in the counter- clockwise direction. Throughout this problem, une k for Coulomb's constant. de Determine the electric field at the origin due to the indicated infinitesimal piece of the rod at an angle 6, that subtends an angle Al Express your answer in terms of , ae, R, Q and fundamental constants dE, - *QU/R-2 k-Q Rº dE,-

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 58PQ: A charged rod is placed in the center along the axis of a neutral metal cylinder (Fig. P25.57). The...
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+Q
dQ
Consider a thin plastic rod bent into a semicircular arc of radius R with center at the origin as shown in the figure. The rod carries a unformly distributed
positive charge +Q. Let a point on the arc be specified by an angle, where is measured from the positive y axis and increases in the counter-
clockwise direction. Throughout this problem, usek for Coulomb's constant.
k-Q
Rª
Determine the electric field at the origin due to the indicated infinitesimal piece of the rod at an angle, that subtends an angle A. Express your
answer in terms of , AP, R, Q and fundamental constants
dE, -
(*1/2
dE
de
Transcribed Image Text:+Q dQ Consider a thin plastic rod bent into a semicircular arc of radius R with center at the origin as shown in the figure. The rod carries a unformly distributed positive charge +Q. Let a point on the arc be specified by an angle, where is measured from the positive y axis and increases in the counter- clockwise direction. Throughout this problem, usek for Coulomb's constant. k-Q Rª Determine the electric field at the origin due to the indicated infinitesimal piece of the rod at an angle, that subtends an angle A. Express your answer in terms of , AP, R, Q and fundamental constants dE, - (*1/2 dE de
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