Sistemas De Coordenadas
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Sistemas de coordenadas
Cartesianas ( x, y, z )
−∞ < x < ∞ −∞ < y < ∞ −∞ < z < ∞
G G G G dl = dx u x + dy u y + dz u z dV = dx dy dz
Cilíndricas (r , ϕ, z )
0≤r <∞
G G G G dl = dr ur + r dϕ uϕ + dz u z 0 ≤ ϕ < 2π dV = r dr dϕ dz −∞ < z < ∞
Esféricas (r , θ, ϕ)
0≤r <∞ G G G G dl = dr ur + r dθ uθ + r sen θ dϕ uϕ 0 ≤θ ≤π dV = r 2 sen θ dr dϕ dθ 0 ≤ ϕ < 2π
Cartesianas ( x, y, z )
−∞ < x < ∞ −∞ < y < ∞ −∞ < z < ∞
G G G G dl = dx u x + dy u y + dz u z dV = dx dy dz
Cilíndricas (r , ϕ, z )
0≤r <∞
G G G G dl = dr ur + r dϕ uϕ + dz u z 0 ≤ ϕ < 2π dV = r dr dϕ dz −∞ < z < ∞
Esféricas (r , θ, ϕ)
0≤r <∞ G G G G dl = dr ur + r dθ uθ + r sen θ dϕ uϕ 0 ≤θ ≤π dV = r 2 sen θ dr dϕ dθ 0 ≤ ϕ < 2π
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