17-5-09 easy resistance

Identical wires, each with resistance R, are connected so as to form the edges of the platonic solid Icosahedron.(The figure is given , additionally note that it is a polyhedron with 20 faces, each face an equilateral triangle).Determine the resistance of the network between the two opposite vertices A and B.

11 Answers

9
Celestine preetham ·

its definitely not easy

kindy change ur topic!!!!

ans obtained by grounds of symmetry

1
Rohan Ghosh ·

try it celestine then you will get to know that it is indeed easy

1
Samarth Kashyap ·

is the ans R/2 [7]

9
Celestine preetham ·

yes its R/2 :)

nice work

can u show the explanation

1
°ღ•๓яυΠ·

this is a olympiad q

i asked ma sir last year he tld meh 2 apply loop laws n solve :(

9
Celestine preetham ·

yes kirchooffs law only

62
Lokesh Verma ·

mrunal.. change your sir ;)

39
Dr.House ·

lol........

9
Celestine preetham ·

ppl try this its got a very elegant sol

its an inpho 1999 prob but of jee level only

33
Abhishek Priyam ·

Yup celestine. very elegant indeed.

But,How you know from where the question is?

1
Samarth Kashyap ·

my ans may be right but i'm not sure whether the method is right, pls correct me if i'm wrong

assume A and B connected externally thru a battery.
by symmetry equal current flows in all the branches(indicated by arrow), so the potential drop across each of those resistors is the same.

so the resistors marked in red can be removed and its ends shorted.
continuining... this way u get

Reff=R/5 + R/10 + R/5 = R/2

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