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Electromagnetic theory miscellaneous

Electromagnetic Theory

  1. If the vectors A and B are conservative then—
    1. A ×B is solenoidal
    2. A ×B is conservative
    3. A + B is solenoidal
    4. A − B is solenoidal
Correct Option: A

A and B both are conservative field vectors.
Therefre, ∇ × A = 0 and ∇ × B is also zero.
Now ∇. ( A × B) = – ∇. ∇ A + ∇. ∇ × B = 0
Hence, ( A × B) is solenoidal.



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