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If the Vector Field H = F(r) R, R \neq 0 Is Solenoidal, Find an Expression for F(r)

Question 54

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If the vector field H = f(r) r, r \neq 0 is solenoidal, find an expression for f(r) .


A) f(r) = c  If the vector field H = f(r)  r, r  \neq  0 is solenoidal, find an expression for f(r) . A)  f(r)  = c   , where c is an arbitrary constant B)  f(r)  = c   , where c is an arbitrary constant C)  f(r)  = c   , where c is an arbitrary constant D)  f(r)  = c   , where c is an arbitrary constant E)  f(r)  = c   , where c is an arbitrary constant , where c is an arbitrary constant
B) f(r) = c  If the vector field H = f(r)  r, r  \neq  0 is solenoidal, find an expression for f(r) . A)  f(r)  = c   , where c is an arbitrary constant B)  f(r)  = c   , where c is an arbitrary constant C)  f(r)  = c   , where c is an arbitrary constant D)  f(r)  = c   , where c is an arbitrary constant E)  f(r)  = c   , where c is an arbitrary constant , where c is an arbitrary constant
C) f(r) = c  If the vector field H = f(r)  r, r  \neq  0 is solenoidal, find an expression for f(r) . A)  f(r)  = c   , where c is an arbitrary constant B)  f(r)  = c   , where c is an arbitrary constant C)  f(r)  = c   , where c is an arbitrary constant D)  f(r)  = c   , where c is an arbitrary constant E)  f(r)  = c   , where c is an arbitrary constant , where c is an arbitrary constant
D) f(r) = c  If the vector field H = f(r)  r, r  \neq  0 is solenoidal, find an expression for f(r) . A)  f(r)  = c   , where c is an arbitrary constant B)  f(r)  = c   , where c is an arbitrary constant C)  f(r)  = c   , where c is an arbitrary constant D)  f(r)  = c   , where c is an arbitrary constant E)  f(r)  = c   , where c is an arbitrary constant , where c is an arbitrary constant
E) f(r) = c  If the vector field H = f(r)  r, r  \neq  0 is solenoidal, find an expression for f(r) . A)  f(r)  = c   , where c is an arbitrary constant B)  f(r)  = c   , where c is an arbitrary constant C)  f(r)  = c   , where c is an arbitrary constant D)  f(r)  = c   , where c is an arbitrary constant E)  f(r)  = c   , where c is an arbitrary constant , where c is an arbitrary constant

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