Question

Example 70. A regular hexagon with diagonals is made of
identical wires, each having same resistance r, as shown in
7.3.54. Find the equivalent resistance between the points Aand B.

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Answer 1

Explanation:

Given A regular hexagon with diagonals is made of identical wires, each having same resistance r, as shown in 7.3.54. Find the equivalent resistance between the points A and B.

• We need to calculate the equivalent resistance between the points A and B.
• Now we have a regular hexagon. There are same resistance of r ohms. The ends are given by A and B.
• So we have the currents as i 1, i2 and I – i1 – i2 on both sides (symmetry)
• So we have 2r + 2r/3 = 8r/3 . 2r and 8r/3
• So these three are in parallel.
• Therefore 1/R eq = 3/8r + 1/2r + 3/8r
•                                = 3 + 4 + 3 / 8r
•                                = 10 / 8 r
•                              = 5/4r
• So R equivalent = 4/5r
•                              = 0.8 r

Reference link will be

https://brainly.in/question/2054375