Engineering Circuit Analysis: Calculate Power Through Resistor

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The discussion focuses on calculating the power dissipated in a 2-ohm resistor within a complex circuit involving multiple resistors and a variable load. The user is struggling with applying the power formulas P=VI and P=I^2R, indicating a need for a deeper understanding of circuit analysis. The circuit includes a 100-volt source, with resistors arranged in both series and parallel configurations, and the user is tasked with simulating the circuit 100,000 times to determine how often the 2-ohm resistor burns out due to excessive power. Key hints suggest using Ohm's law to find the current through the load and calculating the equivalent resistance of parallel resistors. The user is also required to report the number of burnouts and the average voltage delivered to the load when the 2-ohm resistor fails.
cooldude489
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i don't need help writing the c++ code, but i do need help calculating the power through the resistor. P=VI and P = I^2R aren't working, so I'm guessing it's got something to do with circuit analysis, which i haven't been taught yet, and that my c++ class hasn't gone over.


------2 ohms---- ----3 ohms----
| | | |
| | | |
--- ---- -------
| | | | | |
| | | | | |
| ------4 ohms---- -----6 ohms---- |
| |
100 volts 10 - 20 ohms
| |
| |
___ ___
- -

In the above circuit there is a 100 volt DC source, a 2 ohm
resistor in parallel with a 4 ohm resistor, and then those
resistors are in series with a 3 ohm resistor in parallel
with a 6 ohm resistor. The circuit is terminated in a load
whose value varies randomly between 10 and 20 ohms.

If the power dissipated in the 2 ohm resistor goes above 35
watts, the resistor will burn and its resistance will jump
from 2 ohms to 1000000 ohms.

Solve the circuit 100,000 times (using random values for the
load). During the 100,000 simulations, count the number of times that
the 2 ohm resistor burns up. Also, calculate the average
voltage delivered to the load resistor when the 2 ohm
resistor has burned up.

Your program should output only two numbers on separate lines
as follows:

1-Number of times that the 2 ohm resistor burns

2-Average voltage delivered to the load resistor calculated
over the cases where the 2 ohm resistor has burned up

The seed to use for the random number generator is 100000
 
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You need to tell us what expression you are using for the power through the 2 ohm resistor. That is exactly how are you calculating it. What is the current? How did you arrive at it?
 
Just some hints:

Find the current flowing through the load resistor by determining the total resistance of the circuit and applying ohms law.

You can find the resistance of two resistors in parallel by using (R1 * R2) / (R1 + R2).

You can find the current flowing through the 2 ohm resistor by using I / 3 * 2, where I is the current flowing through the load resistor.
 

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