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PhysicsCurrent ElectricityEquivalent ResistanceMedium2 minai-gemini
PhysicsMediumsingle choice

A square frame is made of four identical wires, each of resistance . An additional wire, also of resistance , connects two opposite corners of the square. What is the equivalent resistance between two adjacent corners of the square?

Options:

Answer:
C
Solution:

Let the square corners be A, B, C, D in clockwise order. The additional wire connects A and C. We need to find the equivalent resistance between A and B. The circuit forms a Wheatstone bridge like structure. Resistors are AB, BC, CD, DA, and AC, all of resistance R. If current enters at A and leaves at B, paths are A-D-C-B, A-C-B, and A-B. This can be solved using Kirchhoff's laws or by identifying series/parallel combinations after redrawing. The equivalent resistance between A and B is .

Stream:JEESubject:PhysicsTopic:Current ElectricitySubtopic:Equivalent Resistance
2mℹ️ Source: ai-gemini

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