145R/2
it is an infinite grid.. each segmnt of each resitance is R. all are equal squares.. to find resistance between A nd B
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3 Answers
229R0/2 ...irodov right? :p
- Anurag Ghosh R/2......Assume a battery between those 2 points and apply the superpostion principle....Upvote·0· Reply ·2013-07-21 18:53:32
- Dwijaraj Paul Chowdhury and a bit of symmetry as well ;)
- Shreya Sharma But how do you get R/2 ?
- Dwijaraj Paul Chowdhury assuming current I was given to a box...due to symmetry we can say I/4 gets divided into the 4 sides ....so basically writing kcl we get IR[ss]Equivalent[/ss]=2(I/4)R[ss]Equivalent[/ss]
- Dwijaraj Paul Chowdhury the resistance in the RHS should not be equivalent...its the given resistance R
481Hmmmmm......similar type question was posted by another boy.......There resistance was R/3....
Jeet Sen Sharma superimposition.!!! how....??- Anurag Ghosh hehe...not superimposition its superposition.........
Assume a battery of p.d V between A and B and current I flowing through them...
1st case
current can enter from infinity enter A as I/4
2nd case
current can come from infinity and leave B as I/4
net current=(I/4+I/4)=I/2
V=I/2*R.......As we assumed I current to be flowing..therefore resistance R/2...