a wire having 24cm of length and 12 ohm resistance is used to make a square.what will be the effective resistance between the diagonally opposite points of this square?
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Explanation:
When a metallic wire of resistance 12Ω12Ω is bent to form a square, the equivalent circuit diagram is as shown in the figure.
Resistance of arm ABC=3Ω+3Ω=6ΩABC=3Ω+3Ω=6Ω will be parallel to resistance of arm ADC=3Ω+3Ω=6ΩADC=3Ω+3Ω=6Ω
Their effective resistance is
=6Ω×6Ω6Ω+6Ω=3Ω=6Ω×6Ω6Ω+6Ω=3Ω
Hence, the resistance between diagonal points
i.e., between AA and CC is 3Ω
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