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AP Physics C: E&M
11.5 Compound Direct Current Circuits
BeginnerMCQMathematical23.4k
A circuit schematic showing two separate resistor networks labeled Configuration 1 and Configuration 2. Configuration 1 shows three identical resistors, each labeled R, connected in a closed equilateral triangle shape with two terminal leads extending outward from two of the vertices. Configuration 2 shows three identical resistors, each labeled R, connected end-to-end in a straight horizontal line in series between two terminal leads. No other components or labels appear.
Resistor arrangements for Configuration 1 and Configuration 2.
Three identical resistors, each of resistance \(R\), are connected to form a closed triangular loop (Configuration 1). A second identical set of three resistors, each of resistance \(R\), are connected in series (Configuration 2). What is the ratio of the equivalent resistance across any two vertices of Configuration 1 to the total equivalent resistance of Configuration 2?

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