Which of the following is true about the parallel combination of resistors?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → None of the above
In a parallel combination, one end of every resistor is joined to one common point and the other end to a second common point. So the same potential difference \( V \) acts across each resistor. The current in each resistor is \( I=V/R \).
Option (1) The current through all the resistors is the same. — Incorrect. With the same \( V \), the current \( V/R \) is larger in a smaller resistor. Equal currents in all resistors happen in a series combination.
Option (2) The potential difference across a resistor is proportional to its resistance. — Incorrect. All resistors in parallel have the same potential difference, whatever their resistance. A p.d. proportional to resistance is a property of a series combination.
Option (4) None of the above — Correct. Neither statement holds for resistors in parallel. The potential difference is common and the current divides in inverse ratio of the resistances.