alleryStart learning →Ten identical resistors, each of resistance R, are connected in parallel. What is the equivalent resistance of the combination?
Aten times R
Ba hundredth of R
Ca tenth of R
DR minus ten
Answer & Solution
Correct answer: C. a tenth of R
1. N identical resistors in parallel create N identical paths for current to flow through.
2. Having N equally easy paths makes it N times easier overall for current to flow than through a single resistor R.
3. Making it N times easier to flow means the equivalent resistance is R divided by N.
4. For N = 10 identical resistors, the equivalent resistance is R divided by 10.
_Source: OpenStax Physics (CC BY 4.0), Ch 19 "Electrical Circuits", section Reasoning with Parallel Resistors_
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