level 2
jyl960927
楼主
r = 25;
h = 5;
Br = 1.22;
f[t_, z0_] = -r*(x - r*Cos[t])*
Cos[t]/((x - r*Cos[t])^2 + (y - r*Sin[t])^2 + (z - z0)^2)^1.5;
g[t_, z0_] =
r*(y - r*Sin[t])*
Sin[t]/((x - r*Cos[t])^2 + (y - r*Sin[t])^2 + (z - z0)^2)^1.5;
B[x_, y_] = (Br/
(4*Pi))*(Integrate[f[t_, z0_], {t, 0, 6.28}, {z0, 0, h}] -
Integrate[g[t_, z0_], {t, 0, 6.28}, {z0, 0, h}])
F[z_] = Integrate[
Integrate[
Sqrt[1 + D[10 + Sqrt[6.25 - x^2], x]^2 +
D[10 + Sqrt[6.25 - x^2], y]^2]*B[x_, y_]*B[x_, y_], {x, -2.5,
2.5}], {y, -25, 25}]

F[10]
2020年07月13日 00点07分
1
h = 5;
Br = 1.22;
f[t_, z0_] = -r*(x - r*Cos[t])*
Cos[t]/((x - r*Cos[t])^2 + (y - r*Sin[t])^2 + (z - z0)^2)^1.5;
g[t_, z0_] =
r*(y - r*Sin[t])*
Sin[t]/((x - r*Cos[t])^2 + (y - r*Sin[t])^2 + (z - z0)^2)^1.5;
B[x_, y_] = (Br/
(4*Pi))*(Integrate[f[t_, z0_], {t, 0, 6.28}, {z0, 0, h}] -
Integrate[g[t_, z0_], {t, 0, 6.28}, {z0, 0, h}])
F[z_] = Integrate[
Integrate[
Sqrt[1 + D[10 + Sqrt[6.25 - x^2], x]^2 +
D[10 + Sqrt[6.25 - x^2], y]^2]*B[x_, y_]*B[x_, y_], {x, -2.5,
2.5}], {y, -25, 25}]

F[10]