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What is the minimum number of 73-ohm resistors that must be connected in parallel to produce an equivalent resistance of 15-ohm or less? Answer is in resistors.
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At least you must have 5 resistors.
For equal-resistance parallel resistor, you can find the total resistance by dividing R by number of resistor Rt=R/N so N=Rt/R=73/15=4,9.
\[\frac{ 1 }{ Req }=\frac{ 1 }{ R1 }+\frac{ 1 }{ R2 }+.....\] now R1=R2=....= 73 ohms and Requivalent = 15 \[\frac{ 1 }{ 15 }= \frac{ 1 }{ 73 }+\frac{ 1 }{ 73 }+.....\] which is equal to \[\frac{ 1 }{ 15 }= \frac{ (1+1+1+1+ ....) }{ 73 }=\frac{ n*1 }{ 73 }\] therefore \[n= \frac{ 73 }{15 }=4.8667\] approximately 5
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