Too many resistors!

Electricity and Magnetism Level 2

Find the equivalent resistance between the points A and B.(in Ohms)


The answer is 10.

Abhiram Rao by Abhiram Rao , 18, India

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3 solutions

Mahmoud Farrag
Apr 6, 2016

R1 = 12,6 == 12 * 6 / 12 + 6 = 4 ,,,,
R2 = 80,20 == 20 * 80 / 20 + 80 = 16 ,,,
So R3 = 4 + 16 = 20 ,,,
R4 = 20,15 == 20 * 15 / 20 + 15 = 8,57 ,,,
So R5 =8.57,60 == 8.57 * 60 / 8.57 + 60 = 7.5 ,,,
So R = 7.5 + 2.5 = 10 Ohms


5 Helpful 0 Interesting 0 Brilliant 0 Confused
Abhiram Rao
Apr 8, 2016

Thank you guys for your views! I will try to post tough ones like this . :D

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Ryan Yan
Apr 6, 2016

All resistors on the right are in series with the 2.5 one. Resistors on right hand side consist 4 parallel circuits: 60ohm on its own, parallel to the 80 and 12 ones which are in series, they are parallel to the 20 and 6 ones which are also in series, and at last they are parallel the 15 one on its own. So the equivalent resistance will be:
(1/60 + 1/(12+80) + 1/(6+20) +1/15 )^(-1) + 2.5 = 10

2 Helpful 0 Interesting 0 Brilliant 1 Confused

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