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tsl329 - > • Components of d v E dE x = dE cos θ dE y...

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Electric Field of Charged Semicircle Consider a uniformly charged thin rod bent into a semicircle of radius R . Find the electric field generated at the origin of the coordinate system. Charge per unit length: λ = Q/πR Charge on slice: dq = λRdθ (assumed positive) Electric field generated by slice: dE = k | dq | R 2 = k | λ | R directed radially (inward for
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Unformatted text preview: λ > ) • Components of d v E : dE x = dE cos θ , dE y =-dE sin θ • Electric field from all slices added up: E x = kλ R Z π cos θ dθ = kλ R [sin θ ] π = 0 E y =-kλ R Z π sin θ dθ = kλ R [cos θ ] π =-2 kλ R θ R y Rd x θ 15/1/2008 [tsl329 – 1/1]...
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