R Find The Flux Of The Field F Across The Sphere Of Radius A Centered At The Origin Where R X Y Z And The Normal V 1 (17.51 KiB) Viewed 27 times
R Find The Flux Of The Field F Across The Sphere Of Radius A Centered At The Origin Where R X Y Z And The Normal V 2 (59.77 KiB) Viewed 27 times
r Find the flux of the field F = across the sphere of radius a centered at the origin, where r= (x,y,z) and the normal vectors point outward. A parametric description of a sphere of radius a centered at the origin is ru.v)= (a sin u cos va sinu sin va cosu) where Osus and OSVS 2 dr Evaluate t du dr Evaluate t = ON 1=000
A parametric description of a sphere of radius a centered at the origin isr ar Evaluate tu ди =- OOD or Evaluate ty = av Write the field in terms of u and v. F= Use the results to evaluate the integrand for the flux. F• (t, xtv) = 0 Then evaluate the integral to find the area. 2ππ -- e A= SSF: (txt) du dv = 0 0
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