Equivalent resistance

Electricity and Magnetism Level 2

Find the equivalent resistance between a a and b b .

8 Ω 8\Omega 4 Ω 4\Omega 2 Ω 2\Omega 7 Ω 7\Omega

Tanishq Varshney by Tanishq Varshney , 23, India

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2 solutions

Rajat Kharbanda
May 4, 2015

I assumed potential difference of 10V AND MADE EQUATIONS . is there a shorter way?????????????

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Did The Same Way(I Assumed Potential Difference Of 100 V And Used The Fact That The Circuit Is Antisymmetric In Nature . i am also thinking of any shorter way(Though My Method Is Also Not Long!!)

Prakhar Bindal - 6 years, 1 month ago

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no, it is the best method , Y-delta is longer :)

A Former Brilliant Member - 4 years, 4 months ago
Rubayet Tusher
May 11, 2015

Kindly first see Delta-Y Transformation in Wikepedia if it is unknown. We can use Delta-Y Transformation to solve this. We can either re-draw the left portion (10,5,5) as Delta or the right portion which is also (10,5,5). Then if we use the Delta-Y Transformation, we will be left with "{((50/20) & 5) in Series} which is Parallel to {((25/20) & 10) in Series}". And the total quoted portion will be connected with another (50/20) with Series. Then, solving the Quoted portion, we get 4.5 ohms which is in Series with (50/20) ohms. Therefore, the equivalent resistance becomes = 2.5 + 4.5 = 7 Ohms.

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