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AP Physics C: E&M/Unit 11 – Electric Circuits
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Infinite Resistor Ladder Network

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An infinite ladder network is constructed using resistors of resistance R for the rungs and resistors of resistance r for the sides. If the equivalent resistance of the entire network measured at the input terminals is Req, which of the following equations correctly relates Req, R, and r?

A

Req = r/2 + √(r²/4 + Rr)

B

Req = R + r

C

Req = Rr/(R+r)

D

Req = r + R/(1+R/r)

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