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Question
Eight identical resistors each of resistance r are connected along edges of a pyramid having square base ABCD as shown in figure.The equivalent resistance between A and O is
Eight identical resistors each of resistance r are connected along edges of a pyramid having square base ABCD as shown in figure.The equivalent resistance between A and O is
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Solution
The correct option is B 7r15
Points B & D are diagonally opposite points and located on the base of pyramid and their position is symmetrically located with respect to points A and O.
The given pyramid is a regular one with equal length of all edges or it is a regular tetrahedron.
So the points B,D are at same potentials.
On redrawing the circuit,
On simplifying it using successive reduction of series and parallel combination we get,
Points B & D are diagonally opposite points and located on the base of pyramid and their position is symmetrically located with respect to points A and O.
The given pyramid is a regular one with equal length of all edges or it is a regular tetrahedron.
So the points B,D are at same potentials.
On redrawing the circuit,
On simplifying it using successive reduction of series and parallel combination we get,
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