A relation between the surface integral of a vector and the volume integral of a derivative of the vector is

  1. Gauss’ law
  2. Stoke’s theorem
  3. Gauss’s theorem
  4. Convolution theorem
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Correct Option: (C)

A relation between the surface integral of a vector and the volume integral of a derivative of the vector is Gauss’s theorem.

\[ \oint_{S}^{} \overrightarrow{A} .\overrightarrow{ds} = \oint_{V}^{} (\overrightarrow{\nabla } . \overrightarrow{A})dV \]


A relation between the surface integral of a vector and the volume integral of a derivative of the vector is

A relation between the surface integral of a vector and the volume integral of a derivative of the vector is

Correct Option: (C)

A relation between the surface integral of a vector and the volume integral of a derivative of the vector is Gauss’s theorem.

\[ \oint_{S}^{} \overrightarrow{A} .\overrightarrow{ds} = \oint_{V}^{} (\overrightarrow{\nabla } . \overrightarrow{A})dV \]

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