Resistances in Series, Parallel, and Series-Parallel Combinations

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SUMMARY

The discussion focuses on calculating the maximum number of 300-ohm resistors that can be connected in parallel to a 120-V circuit without tripping a 15 A circuit breaker. The total resistance (Rp) must be calculated to ensure it does not exceed the current limit. The correct calculation shows that 38 resistors would exceed the limit, thus the maximum safe number of 300-ohm resistors that can be connected in parallel is 37.

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predentalgirl1
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A 120-V circuit has a circuit breaker rated to trip (to create an open circuit) at 15 A. How many 300-ohm resistors could be connected in parallel without tripping the breaker?








Given that,
V= 120V, I = 15A, R= 300 ohm.
Let the total resistance without tripping the breaker = Rp
Now 1/Rp = 1/R + 1/ R + ………n times.
= n/R
Therefore Rp = R/n
Or n = R/ Rp
But Rp = 120/15
= 8
Therefore n = 300/8
= 37.5=38

Is this correct?
 
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No, because it will break on the 38th resistor. You want the one before **** hits the fan, the one right before the circuit breaks.
 

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