In the figure we see a rod of length LA = 22 cm carries a charge QA = 22 nC and a circular arc of radius RB = 13 cm carries a charge QB = 49 nC. The center of the rod is at y = 4 cm from the origin. a) Find the charge density for both the rod and the arc. charge density of the rod Give your answer up to at least three significance digits. C/m

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Chapter6: Gauss's Law
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Problem 49P: Determine if approximate cylindrical symmetry holds for the following situations. State why or why...
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In the figure we see a rod of length LA = 22 cm carries a charge QA = 22 nC and a circular arc of radius RB = 13 cm carries a
charge QB = 49 nC. The center of the rod is at y = 4 cm from the origin.
a) Find the charge density for both the rod and the arc.
charge density of the rod
Give your answer up to at least three significance digits.
C/m
charge density of the arc
Give your answer up to at least three significance digits.
C/m
b) Find the electric field at the origin due to the rod only.
x - component of the electric field
Give your answer up to at least three significance digits.
N/C
y - component of the electric field
Give your answer up to at least three significance digits.
N/C
c) Find the net electric field at the origin due to both the rod and the arc.
x - component of the net electric field
Give your answer up to at least three significance digits.
N/C
y - component of the net electric field
Give your answer up to at least three significance digits.
N/C
Transcribed Image Text:R In the figure we see a rod of length LA = 22 cm carries a charge QA = 22 nC and a circular arc of radius RB = 13 cm carries a charge QB = 49 nC. The center of the rod is at y = 4 cm from the origin. a) Find the charge density for both the rod and the arc. charge density of the rod Give your answer up to at least three significance digits. C/m charge density of the arc Give your answer up to at least three significance digits. C/m b) Find the electric field at the origin due to the rod only. x - component of the electric field Give your answer up to at least three significance digits. N/C y - component of the electric field Give your answer up to at least three significance digits. N/C c) Find the net electric field at the origin due to both the rod and the arc. x - component of the net electric field Give your answer up to at least three significance digits. N/C y - component of the net electric field Give your answer up to at least three significance digits. N/C
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