This application shows the steps to determine the divergence of a vector field and how to determine the divergence of a vector field at a point.

default-2023

i_component

j_component

Notes:-- This app calculates the divergence of an inputted vector field {{ "F(x,y,z) = \\{ \\_ \\_ \\, \\mathbf{i} + \\_ \\_ \\, \\mathbf{j} + \\_ \\_ \\, \\mathbf{k} \\}" | katex }}.-- For a 2D vector field, keep the {{ "\\mathbf{k}" | katex }} of the field as {{ "0" | katex }}.-- Use Python operations to define the field components (* for multiplication, ** for exponents, etc.)

<h2 class="ql-align-center">Divergence of a Vector Field Calculator</h2>

Enter the components of the vector field {{ "F(x,y,z)" | katex }} using {{ "x" | katex }}, {{ "y" | katex }}, and {{ "z" | katex }} as the variables:

k_component

[Optional] Enter a coordinate point {{ "(x,y,z)" | katex }} to evaluate the divergence:

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