A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the rod depends on θ and is given by λ = λ0 / cos θ where λ0 is a positive constant. The arc extends from θ = π/4 to θ = 3π/4 as shown in the image. a) Sketch the direction of the resultant electric field at the origin. b) Calculate the magnitude of the electric field E .
A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the rod depends on θ and is given by λ = λ0 / cos θ where λ0 is a positive constant. The arc extends from θ = π/4 to θ = 3π/4 as shown in the image. a) Sketch the direction of the resultant electric field at the origin. b) Calculate the magnitude of the electric field E .
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A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the rod depends on θ and is given by
λ = λ0 / cos θ
where λ0 is a positive constant. The arc extends from θ = π/4 to θ = 3π/4 as shown in the image.
a) Sketch the direction of the resultant electric field at the origin.
b) Calculate the magnitude of the electric field E .
Transcribed Image Text:dq
R
dE
A non-uniform rod of radius R
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Where has the minus sign come from here E=−∫dE
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