If the magnetic field vector \(\vec H\) has only z components given by Hz = 3x cos β + 6y sin γ and if the field is invariant with time, the appropriate expression for current density \(\vec J\) is

1
\(\left( {3\cos \beta } \right)\vec ax + \left( {6\sin \gamma } \right){\vec a_y}\)
2
\(\left( {6\sin \gamma } \right)\vec ax - \left( {3\cos \beta } \right){\vec a_y}\)
3
\(\left( {6\cos \beta } \right)\vec ax - \left( {3\sin \gamma } \right){\vec a_y}\)
4
\(\left( {3\sin \gamma } \right)\vec ax - \left( {6\cos \beta } \right){\vec a_y}\)

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