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For resistors in parallel, the reciprocal of the equivalent resistance equals
Athe sum of the reciprocals of the resistances
Bthe sum of the resistances
Cthe product of the resistances
Dthe difference of the resistances
Answer & Solution
Correct answer: A. the sum of the reciprocals of the resistances
1. In parallel the voltage is the same across each resistor and the currents add.
2. This gives $\dfrac{1}{R_p} = \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3}$.
3. The parallel equivalent is smaller than the smallest resistor. Domestic circuits use parallel so each appliance gets the full voltage.
_Source: Karnataka SSLC (KSEEB) Class 10 Science, Ch12 'Electricity', §12.5 (parallel)_
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