(b) Which path is sphery
6. Three identical positive charges Q are arranged at the
vertices of an equilateral triangle. The side of the triangle
is a. Find the intensity of the field at the vertex of a regular
tetrahedron of which the triangle is the base.
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Explanation:
The height of a tetrahedral of side a is
3
2
a
In the given diagram of question,
cosϕ=
3
2
By symmetry, the horizontal components of the charge cancel out.
The vertical component add up,
E=kQ/a
2
×3×cosϕ=3kQ/a
2
×
3
2
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