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The effective resistance of a number of resistances connected in parallel is x ohm. When one of the resistances is removed,the effective resistance becomes y ohm. The resistance of the resister that is removed is?

The effective resistance of a number of resistances connected in parallel is x ohm.
When one of the resistances is removed,the effective resistance becomes y ohm.
The resistance of the resister that is removed is?

Grade:10

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
9 years ago
Hello Student,

\\\sum {1 \over R_i}={ 1 \over x} \\\sum {1 \over R_i}-{1 \over R_{removed}}={ 1 \over y} \\=>{1 \over R_{removed}}={ 1 \over x}-{ 1 \over y} \\=>R_{removed}={xy \over y-x}
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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