Superposition for resistors | Physics Olympiads Guide

Superposition for resistors

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Example 1

problem about equivalent resistance of network in shape of triangular pyramid

Solution

derivations for effective resistance of tethahedron using superposition principle

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Problem 1

problem about equivalent resistance of wire frame made in shape of icosahedron

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Problem 2

problem about equivalent resistance of structure in shape of octagon

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application of superposition principle for infinite grids

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Example 2

problem about equivalent resistance for infinite square grid

Solution

solution to problem about resistance of infinite square lattice

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Problem 3

problem about equivalent resistance infinite hexagonal lattice with missing link

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Problem 4

problem about equivalent resistance of wire frame with infinite rhombus pattern

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Problem 5

problem about equivalent resistance of infinite wireframe with triangular pattern

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challenges of describing currents in thin plates

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Example 3

equivalent resistance of thin square plate with two diagonals

Solution

solution to problem about effective resistance of thin plate with butterfly shape

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Problem 6

problem about resistance of thin uniform plate with voltmeter connected in middle of one side

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Example 4

Solution

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Problem 7

problem about direction of current density vector near central point of circular conductive plate

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