The Howrah bridge arrangement

Electricity and Magnetism Level 3

Above shows an arrangement of resistors. Each resistor has a resistance of 1 ohm. Calculate the equivalent resistance of the arrangement


The answer is 1.55555555.

Soumyajit Banerjee by Soumyajit Banerjee , 20, India

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2 solutions

Sketch of the solution by Antonio Valente Macarilay.

9 Helpful 3 Interesting 4 Brilliant 4 Confused

i can't understand the 2nd picture of the 2nd row...can you please explain??

Md Muttahirul Islam - 4 years, 11 months ago

I can't understand second step hope came like this after two rectangles

AVIRAJ WALUNJ - 3 years, 4 months ago

replace the 1 ohm deltas with 1/3 ohm wyes.

through symmetry we find that we can remove middle 1/3 ohm resistor because its ends have the same potential

we are left with a series parallel circuit

R = 1/3 + (1/3 + 1 + 1 + 1/3) || (1/3 + 1/3 + 1/3 + 1/3) + 1/3 = 14/9 = 1.56 ohms

3 Helpful 0 Interesting 1 Brilliant 2 Confused

I greatly appreciate your removal of 1/3 ohm. I learn from you.
Shortest and most easy method. Thought three deltas are converted, it is no problem since they are identical and all resistances are equal. To make it easy to understand I am posting a sketch under my name since I can easily download.

Niranjan Khanderia - 5 years, 4 months ago

Can we use white stone Bridge concept here

Nilay Parekh - 1 year ago

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