Calculating Resistance: 3 & 12 Ohm Resistors for 2.4 Ohm Result

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The smallest resistance obtainable using a 3-ohm and a 12-ohm resistor is 2.4 ohms when the resistors are connected in parallel. The formula for calculating the total resistance in parallel is 1/R_total = 1/R1 + 1/R2. Applying this formula, 1/R_total = 1/3 + 1/12 results in an effective resistance of 2.4 ohms. In contrast, connecting the resistors in series yields a total resistance of 15 ohms. Understanding the configuration of resistors is crucial for accurate resistance calculations.
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what is the smallest resistance that can be obtained by using onlu a 3 ohm resistor and a 12 ohm resistor??

can anyone please tell me why the answer is 2.4ohm?

i calculATED USING 1/3 = 1/2 AND I GOT 4 OHMS:mad:

thx anyway
 
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Okay, if the resistors are placed in series the effective resistance of the system is simply the sum of the individual resistances (i.e. R_{t}=3+12=15\Omega).

However, if we place the resitors are placed in parallel the effective resistance of the array is...?
 

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