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richyw
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Consider a uniform metal ring.
Between points A and B a resistance of \(20\Omega\) is measured.
What is the resistance between points A and C?
 one year ago
 one year ago
richyw Group Title
Consider a uniform metal ring. Between points A and B a resistance of \(20\Omega\) is measured. What is the resistance between points A and C?
 one year ago
 one year ago

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richyw Group TitleBest ResponseYou've already chosen the best response.0
dw:1350534340500:dw
 one year ago

richyw Group TitleBest ResponseYou've already chosen the best response.0
dw:1350534451786:dw
 one year ago

richyw Group TitleBest ResponseYou've already chosen the best response.0
so I set it up like I just drew above. The answer is \(20 \Omega\) but I can't figure out why, I keep getting \(15\Omega\). I know from A to B has resistance \(20\Omega\) so I put\[R_{AB}=\frac{2R(R+R)}{2R+(R+R)}=\frac{4R^2}{4R}=R=20\Omega\]So this is the value of R right? Then I do the same thing for between A & C and get\[R_{AC}=\frac{R(2R+R)}{R+(2R+R)}=\frac{3R^3}{4R}=\frac{3}{4}R=15\Omega\]
 one year ago

richyw Group TitleBest ResponseYou've already chosen the best response.0
does anyone see where I am going wrong?
 one year ago

akash123 Group TitleBest ResponseYou've already chosen the best response.0
answer is 20 ohm?
 one year ago

akash123 Group TitleBest ResponseYou've already chosen the best response.0
in 2nd expression...3/4 R...why u r putting R=20 ohm?
 one year ago

akash123 Group TitleBest ResponseYou've already chosen the best response.0
u have been given...resistance between points A and B is 20 ohm.. but u r using R(Ac) or R(CB)= 20 ohm....which is wrong.
 one year ago

akash123 Group TitleBest ResponseYou've already chosen the best response.0
does it help u?
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
Are the lengths given more precisely?
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
like A and B are halfway around the circle, and C is 1/4 the way from A?
 one year ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
you there?
 one year ago
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