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  4. A metallic wire of resistance 12 Ω is bent to form a square. The resistance between two diagonal points would be

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Q. A metallic wire of resistance $12\, \Omega$ is bent to form a square. The resistance between two diagonal points would be

Current Electricity

Solution:

When a metallic wire of resistance 12 ohm is bent to form a square, the equivalent circuit diagram is as shown in figure.
image
Resistance of $\operatorname{arm} ABC =3+3=6 \Omega$
Similarly, for $\operatorname{arm} ADC =6 \Omega$
Their effective resistance is $\frac{6 \times 6}{6+6}=3 \Omega$