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The equivalent overall resistance is smaller than the smallest parallel resistor.(a) True(b) FalseI had been asked this question in my homework.My enquiry is from Combination of Resistors topic in portion Current Electricity of Physics – Class 12

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Right choice is (a) True

The explanation: Yes, the equivalent overall resistance is SMALLER than the smallest resistor connected in parallel. This is because, the overall equivalent resistance of parallel COMBINATION is: Rp = \(\frac {1}{R_1} + \frac {1}{R_2} + \frac {1}{R_3}\). When the inverse of a resistance value is taken, the value obtained is lesser than the original value. THUS, the sum of inverse values will only provide a lesser value than the initial RESISTANCES.



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