The motion of electrons in a conductor is purely random in nature as the electrons do not follow a strict path to move from one location to the other. For a short burst of time, one of the electrons in a conductor being studied is identified to be moving approximately in the following manner: (a) (b) 7=(cos(zy)-x, cos(xz)- y, cos(xy)-z). Calculate the divergence of 7. Determine whether the electron has any tendency to rotate at point (0,0,0).

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The motion of electrons in a conductor is purely random in nature as the electrons do not
follow a strict path to move from one location to the other. For a short burst of time, one
of the electrons in a conductor being studied is identified to be moving approximately in
the following manner:
(a)
(b)
7=(cos(zy)-x, cos(xz) — y, cos(xy) - z).
Calculate the divergence of 7.
Determine whether the electron has any tendency to rotate at point (0,0,0).
Transcribed Image Text:The motion of electrons in a conductor is purely random in nature as the electrons do not follow a strict path to move from one location to the other. For a short burst of time, one of the electrons in a conductor being studied is identified to be moving approximately in the following manner: (a) (b) 7=(cos(zy)-x, cos(xz) — y, cos(xy) - z). Calculate the divergence of 7. Determine whether the electron has any tendency to rotate at point (0,0,0).
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