If four resistances of 4 ohm each are connected in parallel, what will be their effective resistance?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 2 i.e. 1 ohm.
When resistors are connected in parallel, the total (or effective) resistance is calculated using the reciprocal formula:
1 / Req = 1 / R₁ + 1 / R₂ + 1 / R₃ + 1 / R₄
For four resistors each of 4 ohms:
1 / Req = 1 / 4 + 1 / 4 + 1 / 4 + 1 / 4 = 1
Therefore, Req = 1 ohm.
This result is consistent with the general principle that adding resistors in parallel decreases the overall resistance. In this case, the effective resistance of four 4-ohm resistors connected in parallel is 1 ohm.