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![[Post New]](/templates/default/images/icon_minipost_new.gif) 14 Oct 2007 15:14:12 IST
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When resistances are connected in parallel, the current divides itself into parts.
Now as the the current in each branch is less, you can say that less number of charge carriers are moving in the branch.
Now what is the origin of resistivity?? It is due to the dissipation of energy into forms like heat, sound, light etc. due to inelastic collisions of the charges within themselves and also dou to collisions with the atoms of conductor.
As the charges moving are less, the possible collisions are less. So less energy is dissipated. In terms of resistance, you can say that the offered resistance is less.
Mathematically, i think you can find the proof in any standard textbook.
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