An 11.9 ω metal wire is cut into three equal pieces which are then connected side by side to form a new wire (with length one-third the original length). what is the resistance of this new wire? answer in units of ω

We will use the concepts defined for the calculation of resistance from resistivity, length and area. Mathematically this is defined as

Where,

r = Resistivity

= Length of wire

= Cross sectional Area

the Resistance given.

As there was a cut of three pieces, and equal parts are added over them the length and final area will be:

Therefore the new resistance will be :

Therefore the resistance of this new wire would be 1.32Ω

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