Which of the following is true about the series combination of resistors?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → None of the above
In a series combination the resistors are joined end to end. The charges have a single path, so the same current flows through every resistor. The potential difference across each one is \( V=IR \).
Option (1) The current through a resistor is proportional to its resistance. — Incorrect. The current is the same in every resistor, whatever its resistance. The potential difference \( IR \) is the quantity that is proportional to the resistance.
Option (2) The potential difference across all the resistors is the same. — Incorrect. With a common current, the potential difference \( IR \) is larger across a larger resistance. An equal potential difference is found in a parallel combination.
Option (4) None of the above — Correct. Statement (1) fails because the current is common to all the resistors. Statement (2) fails because the potential differences \( IR \) differ. So neither listed statement is true for a series combination.