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Electricity

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2 Oct 2008 09:41:01 IST
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Equivalent Resistance
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Find the Equivalent resistance between A and B.



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Blazing goIITian

Joined: 8 Sep 2008
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2 Oct 2008 09:53:24 IST
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cud you give the  answer ?????????


 

Shivam Mishra's Avatar

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2 Oct 2008 11:49:43 IST
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Infinite resistance is same as open circuit , 


hence the circuit simplifies to ,


{(1+1+1) parallel (1)   }+1+1


=0.75+2 = 2.75 ohms


The answer is 2.75 ohms

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2 Oct 2008 12:01:02 IST
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Since it is an infinite resistance series. Take the equvalent resistance to be X .


since it is an infinite series (parallel combo) take the repeating part as X. ie, u'll get it as X in parallel with 1 ohm. this combination in series with two 1 ohm resistors.


ie,


X /(X+1) + 1+1 = X


X + 2(X+1) = X(X+1)


=> X2 - 2X - 2 = 0

=> X = 2.732 or -0.732


ignore -ve value


so the ans will be 2.732 ohm

Gaurab Mandal's Avatar

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2 Oct 2008 12:38:22 IST
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Click on the above link-u will come to know everything


I could have solved the sum but its difficult to draw the figure


Rate me if u find it useful....


The link is:


http://www.crbond.com/papers/ent2-3.pdf


 


 


 


New kid on the Block

Joined: 8 Jan 2008
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2 Oct 2008 12:57:05 IST
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considerin d infinite resistances equivalent as x. then...(1ohm+1ohm+{xohms and 1ohm in parallel})=x
by solving this v get x=2.732 ohms or -0.732.
neglecting the negative values..
we get equivalent resistance=x=2.732..



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