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+Q dQ d Ꮎ Consider a thin plastic rod bent into a semicircular arc of radius R with center at the origin. The rod carries a uniformly distributed positive charge +Q. Let a point 7 on the arc be specified by an angle 0, where is measured from the positive y axis and increases in the counter-clockwise direction. Throughout this problem, use k for Coulomb's constant. Determine the electric field dĘ at the origin due to the indicated infinitesimal piece of the rod at an angle 0, that subtends an angle 40. Express your answer in terms of 0, 0, R, Q and fundamental constants. dEx dEy = 0 dEx = 0 Calculate the electric field Ĕ at the origin due to the entire semicircular rod. Your answer should be a vector. Ex Ey = Ez = 0 = 0 2kQ 2 πR Now consider an additional thin plastic rod bent into a semicircular arc of radius R with center at the origin. This rod carries a uniformly distributed negative charge -Q. Together, these bent rods form a perfect circle. +Q dQ d Ꮎ -Q What is the direction of the electric field at location <0,0,L> where L >> R? Hint: consider how this object would appear from far away. O A. There is no electric field, because the ring looks like a point charge with Qnet = 0 from far away. O B. +x-hat, because the ring looks like a -x-hat dipole from far away. C. -x-hat, because the ring looks like a +x-hat dipole from far away.

+Q dQ d Ꮎ Consider a thin plastic rod bent into a semicircular arc of radius R with center at the origin. The rod carries a uniformly distributed positive charge +Q. Let a point 7 on the arc be specified by an angle 0, where is measured from the positive y axis and increases in the counter-clockwise direction. Throughout this problem, use k for Coulomb's constant. Determine the electric field dĘ at the origin due to the indicated infinitesimal piece of the rod at an angle 0, that subtends an angle 40. Express your answer in terms of 0, 0, R, Q and fundamental constants. dEx dEy = 0 dEx = 0 Calculate the electric field Ĕ at the origin due to the entire semicircular rod. Your answer should be a vector. Ex Ey = Ez = 0 = 0 2kQ 2 πR Now consider an additional thin plastic rod bent into a semicircular arc of radius R with center at the origin. This rod carries a uniformly distributed negative charge -Q. Together, these bent rods form a perfect circle. +Q dQ d Ꮎ -Q What is the direction of the electric field at location <0,0,L> where L >> R? Hint: consider how this object would appear from far away. O A. There is no electric field, because the ring looks like a point charge with Qnet = 0 from far away. O B. +x-hat, because the ring looks like a -x-hat dipole from far away. C. -x-hat, because the ring looks like a +x-hat dipole from far away.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Can you help me answer the first two questions, I don't know what the answer is.

+Q dQ d Ꮎ Consider a thin plastic rod bent into a semicircular arc of radius R with center at the origin. The rod carries a uniformly distributed positive charge +Q. Let a point 7 on the arc be specified by an angle 0, where is measured from the positive y axis and increases in the counter-clockwise direction. Throughout this problem, use k for Coulomb's constant. Determine the electric field dĘ at the origin due to the indicated infinitesimal piece of the rod at an angle 0, that subtends an angle 40. Express your answer in terms of 0, 0, R, Q and fundamental constants. dEx dEy = 0 dEx = 0 Calculate the electric field Ĕ at the origin due to the entire semicircular rod. Your answer should be a vector. Ex Ey = Ez = 0 = 0 2kQ 2 πR Now consider an additional thin plastic rod bent into a semicircular arc of radius R with center at the origin. This rod carries a uniformly distributed negative charge -Q. Together, these bent rods form a perfect circle. +Q dQ d Ꮎ -Q What is the direction of the electric field at location <0,0,L> where L >> R? Hint: consider how this object would appear from far away. O A. There is no electric field, because the ring looks like a point charge with Qnet = 0 from far away. O B. +x-hat, because the ring looks like a -x-hat dipole from far away. C. -x-hat, because the ring looks like a +x-hat dipole from far away.
Transcribed Image Text:+Q dQ d Ꮎ Consider a thin plastic rod bent into a semicircular arc of radius R with center at the origin. The rod carries a uniformly distributed positive charge +Q. Let a point 7 on the arc be specified by an angle 0, where is measured from the positive y axis and increases in the counter-clockwise direction. Throughout this problem, use k for Coulomb's constant. Determine the electric field dĘ at the origin due to the indicated infinitesimal piece of the rod at an angle 0, that subtends an angle 40. Express your answer in terms of 0, 0, R, Q and fundamental constants. dEx dEy = 0 dEx = 0 Calculate the electric field Ĕ at the origin due to the entire semicircular rod. Your answer should be a vector. Ex Ey = Ez = 0 = 0 2kQ 2 πR Now consider an additional thin plastic rod bent into a semicircular arc of radius R with center at the origin. This rod carries a uniformly distributed negative charge -Q. Together, these bent rods form a perfect circle. +Q dQ d Ꮎ -Q What is the direction of the electric field at location <0,0,L> where L >> R? Hint: consider how this object would appear from far away. O A. There is no electric field, because the ring looks like a point charge with Qnet = 0 from far away. O B. +x-hat, because the ring looks like a -x-hat dipole from far away. C. -x-hat, because the ring looks like a +x-hat dipole from far away.
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