a) Show that curl of a vector Field which can be expressed as gradien…

Question

a) Show that curl of a vector Field which can be expressed as gradient of another scalar field vanishes i.e. if $\vec{A} = \vec{\nabla} \varphi$ then $\vec{\nabla} \times \vec{A} = 0$.

b) Discuss the physical significance of divergence and curl of a vector.

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