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Exercise:
A charged ring with diameter dO carries a charge QO. Determine the electric field at a po on the ring's central axis at hO from the ring's centre. H: Consider the electric field produced by two small segments on opposite sides of the ring.

Solution:
The electric field dE of two small segments with charge dQ/ on opposite sides of the ring is given by the relation similar triangles center includegraphicswidth.mm#image_path:field-of-charged-ring-# center fracdEdE_ frachr rightarrow dE dE_frachr k_CfracdQ/r^frachr k_CfracdQ hr^ k_CfracdQ hleftd/^+h^right^/ Since all such pairs of small segments contribute in the same way the total field of the ring with charge Q is equal to E EF nckctimesfracQtimeshleftd/^+h^right^/ EapproxEP
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Exercise:
A charged ring with diameter dO carries a charge QO. Determine the electric field at a po on the ring's central axis at hO from the ring's centre. H: Consider the electric field produced by two small segments on opposite sides of the ring.

Solution:
The electric field dE of two small segments with charge dQ/ on opposite sides of the ring is given by the relation similar triangles center includegraphicswidth.mm#image_path:field-of-charged-ring-# center fracdEdE_ frachr rightarrow dE dE_frachr k_CfracdQ/r^frachr k_CfracdQ hr^ k_CfracdQ hleftd/^+h^right^/ Since all such pairs of small segments contribute in the same way the total field of the ring with charge Q is equal to E EF nckctimesfracQtimeshleftd/^+h^right^/ EapproxEP
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Attributes & Decorations
Branches
Electrostatics
Tags
electric field, electrostatic, ring
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Difficulty
(3, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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Decoration