Three resistors of some resistance (ohms) are put in series and the measured total resistance is 24 ohm. Now, if the same three resistors are connected in parallel to each other and the total resistance measured for this combination is Rp, would the value of Rp ever reach 1.8 ohm or 4.4 ohm?
Also how would you set-up the equations to solve such a question?
I have tried to use the general resistor formulas to solve such an question:
r1 + r2 + r3 = 24 ohm
1/r1 + 1/r2 + 1/r3 = 1/Rp
But I cannot come up with a logical reason for this question. Would you be able to help me solve this conundrum?