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The network in the figure goes on for ever to the… | StemPy Lab
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The network in the figure goes on for ever to the right. Each section has a resistor R along the top line and a resistor R across from the top line to the bottom line. The equivalent resistance between A and B, the two terminals at the left end, is
Physics
Hard
High School (11–12)
Electricity & Magnetism › Current Electricity
JEE Main
Created by
StemPy Lab
The network in the figure goes on for ever to the right. Each section has a resistor
R
R
R
along the top line and a resistor
R
R
R
across from the top line to the bottom line. The equivalent resistance between A and B, the two terminals at the left end, is
Fig. 1: An endless ladder network between terminals A and B: in each section a resistor R along the top line and a resistor R across to the bottom line.
(
5
−
1
)
R
2
\dfrac{(\sqrt{5} - 1)R}{2}
2
(
5
−
1
)
R
(
1
+
5
)
R
2
\dfrac{(1 + \sqrt{5})R}{2}
2
(
1
+
5
)
R
2
R
2R
2
R
(
1
+
3
)
R
(1 + \sqrt{3})R
(
1
+
3
)
R
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