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Answer: c
Explanation: Though option Curl(Grad V) = 0 & Div(Curl V) = 0 are also correct, for
harmonic fields, the Laplacian of electric potential is zero. Now, Laplacian refers to
Div(Grad V), which is zero for harmonic fields.
A function is said to be harmonic if it satisfies Laplace’s equation, which means that the second partial derivatives of the function with respect to each variable sum to zero. In mathematical terms, for a function ( u(x, y) ) defined on a domain in ( mathbb{R}^2 ), it is harmonic if:
[
frac{partial^2 u}{partial x^2} + frac{partial^2 u}{partial y^2} = 0
]
Harmonic functions have several important properties, including the mean value property, the maximum principle, and being infinitely differentiable within their domain. They often arise in various fields of physics and engineering, particularly in problems related to heat conduction, fluid dynamics, and electrostatics.