If two resistors of 4 Ω and 6 Ω are connected in parallel, the equivalent resistance will be __________.
Less than 4 Ω
For resistors connected in parallel, the equivalent resistance Rₑq is given by:
1/Rₑq = 1/R₁ + 1/R₂
1/Rₑq = 1/4 + 1/6 = (3 + 2)/12 = 5/12
Rₑq = 12/5 = 2.4 Ω
A key property of parallel combinations is that the equivalent resistance is always less than the smallest individual resistance in the combination. Here the smallest resistor is 4 Ω, and 2.4 Ω is clearly less than 4 Ω.
Hence, the correct answer is Less than 4 Ω.
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