IIT JEE , AIEEE Forum - Physics , Electricity

umang

find resistance across two diagonally opposite points

for figure pls see http://www.goiit.com/posts/list/electricity-the-infinite-grid-again-i-dont-want-the-solution-34672.htm

feynmann

It has already been done in Irodov's book in the soln section .

harsha_27

imagine the voltage V to be applied across the points A and B.then V=IR=I₀R₀,where I is the current carried by the lead wires ,I₀ is the current carried by the conductor AB
the current I₀ can be represented as a superposition of two currents .If the current I flowed into point A and spread all over the infimite grid,the conductor AB would carry (because of symmetry) the current I/4.similarly if the current I flowed into the grid from infinity and left the grid through point B the conductor AB would also carry the current I/4.Superimposing both of these solutions we obtain I₀=I/2.therefore R=R₀/2
this is the method given in I.E. IRODOV

umang

hey frnds !
i am not asking across A and B
my question is across two diagonally opposite points !!!
i hope u understood !!!

umang

no one trying ????

Ask & Discuss Questions with Community & Experts