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# tsl329 - Î> â€¢ Components of d v E dE x = dE cos Î¸ 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: Î» > ) â€¢ Components of d v E : dE x = dE cos Î¸ , dE y =-dE sin Î¸ â€¢ Electric field from all slices added up: E x = kÎ» R Z Ï€ cos Î¸ dÎ¸ = kÎ» R [sin Î¸ ] Ï€ = 0 E y =-kÎ» R Z Ï€ sin Î¸ dÎ¸ = kÎ» R [cos Î¸ ] Ï€ =-2 kÎ» R Î¸ R y Rd x Î¸ 15/1/2008 [tsl329 â€“ 1/1]...
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