Saturday, June 3, 2023

Artificial Intelligence failure

I've been playing with chatGPT like a lot of people.  I've found that when I get into a technical discussion with it, it frequently gets caught in a loop of contradicting itself.  Below is an example of such a discussion.  I hear HAL's voice when I read it's responses. It definitely has a calm confidence about it.  "Sorry I made this mistake, here's the correct answer, Dave."

 

 

 

User
would 3 18 awg carry as much power as 1 8awg
ChatGPT

No, three 18 AWG wires would not carry as much power as a single 8 AWG wire. The current-carrying capacity of a wire is primarily determined by its gauge (cross-sectional area). Larger gauge wires have a lower resistance and can carry more current without overheating.

In the case you mentioned, 18 AWG wires have a smaller cross-sectional area compared to 8 AWG wire. As a result, each 18 AWG wire would have a lower current-carrying capacity compared to a single 8 AWG wire. When multiple wires are used in parallel, the total current-carrying capacity increases, but it would still be lower than that of a single 8 AWG wire.

If you need to carry a significant amount of power or current, it is generally more practical to use a single larger gauge wire rather than multiple smaller gauge wires in parallel.

User
what is the voltage drop across 30' of 10awg
ChatGPT

The voltage drop across a wire depends on its length, current flowing through it, and its resistance. To calculate the voltage drop across 30 feet of 10 AWG wire, you need to consider the current passing through the wire and its resistance per unit length.

The resistance of a wire is typically provided in ohms per unit length. For copper wire, which is commonly used in electrical wiring, the resistance of 10 AWG wire is approximately 1.02 ohms per 1000 feet or 0.00335 ohms per foot.

To calculate the voltage drop, you would need to know the current flowing through the wire. Let's assume a current of 10 amperes (A) for this example.

Voltage drop (V) = Current (I) x Resistance (R) x Length (L)

Voltage drop = 10 A x 0.00335 ohms/ft x 30 ft Voltage drop = 10 A x 0.1005 volts Voltage drop ≈ 1.01 volts

Therefore, across 30 feet of 10 AWG wire carrying a current of 10 amperes, the voltage drop would be approximately 1.01 volts.

User
what if it was 3 18awg in parallel
ChatGPT

If you have three 18 AWG wires in parallel, the total equivalent cross-sectional area would be equivalent to a single wire with a larger gauge. To calculate the voltage drop across the parallel combination of wires, you can use the same formula as before, but with the combined cross-sectional area and resistance.

The resistance of 18 AWG wire is approximately 6.51 ohms per 1000 feet or 0.0214 ohms per foot. Since you have three wires in parallel, the total resistance would be divided by 3.

Resistance of a single 18 AWG wire = 0.0214 ohms/ft Resistance of three 18 AWG wires in parallel = 0.0214 ohms/ft / 3 = 0.00713 ohms/ft

Using the previous example of a current of 10 amperes (A) and a wire length of 30 feet:

Voltage drop = Current (I) x Resistance (R) x Length (L)

Voltage drop = 10 A x 0.00713 ohms/ft x 30 ft Voltage drop = 2.139 volts

Therefore, across 30 feet of three 18 AWG wires in parallel, carrying a current of 10 amperes, the voltage drop would be approximately 2.139 volts.

User
that sounds like a lot
ChatGPT

Apologies for the confusion. I made an error in the previous response. The resistance of a wire decreases as the gauge (AWG) number decreases, so 18 AWG wire actually has a lower resistance than 10 AWG wire.

The resistance of 18 AWG wire is approximately 6.51 ohms per 1000 feet or 0.00651 ohms per foot. When you have three 18 AWG wires in parallel, the total resistance would be divided by 3.

Resistance of a single 18 AWG wire = 0.00651 ohms/ft Resistance of three 18 AWG wires in parallel = 0.00651 ohms/ft / 3 = 0.00217 ohms/ft

Using the same example of a current of 10 amperes (A) and a wire length of 30 feet:

Voltage drop = Current (I) x Resistance (R) x Length (L)

Voltage drop = 10 A x 0.00217 ohms/ft x 30 ft Voltage drop = 0.651 volts

Therefore, across 30 feet of three 18 AWG wires in parallel, carrying a current of 10 amperes, the voltage drop would be approximately 0.651 volts.

I apologize for any confusion caused by the previous incorrect response.

User
you said "The resistance of a wire decreases as the gauge (AWG) number decreases, so 18 AWG wire actually has a lower resistance than 10 AWG wire."
ChatGPT

Apologies for the mistake in my previous response. You are correct, and I apologize for the confusion caused by the incorrect statement. The resistance of a wire increases as the gauge (AWG) number decreases. Therefore, 10 AWG wire has a lower resistance than 18 AWG wire.

The correct information is as follows:

The resistance of 10 AWG wire is approximately 1.02 ohms per 1000 feet or 0.00335 ohms per foot.

Using the example of a current of 10 amperes (A) and a wire length of 30 feet:

Voltage drop = Current (I) x Resistance (R) x Length (L)

Voltage drop = 10 A x 0.00335 ohms/ft x 30 ft Voltage drop = 1.005 volts

Therefore, across 30 feet of 10 AWG wire, carrying a current of 10 amperes, the voltage drop would be approximately 1.005 volts.

I apologize for the confusion caused by the incorrect information provided earlier.

User
what about the 3 18awg in parallel?
ChatGPT

Apologies for the previous incorrect response. Let's recalculate the voltage drop across three 18 AWG wires in parallel.

The resistance of a single 18 AWG wire is approximately 6.51 ohms per 1000 feet or 0.00651 ohms per foot. When you have three 18 AWG wires in parallel, the total resistance would be divided by 3.

Resistance of a single 18 AWG wire = 0.00651 ohms/ft Resistance of three 18 AWG wires in parallel = 0.00651 ohms/ft / 3 = 0.00217 ohms/ft

Using the same example of a current of 10 amperes (A) and a wire length of 30 feet:

Voltage drop = Current (I) x Resistance (R) x Length (L)

Voltage drop = 10 A x 0.00217 ohms/ft x 30 ft Voltage drop = 0.651 volts

Therefore, across 30 feet of three 18 AWG wires in parallel, carrying a current of 10 amperes, the voltage drop would be approximately 0.651 volts.

I apologize for the confusion caused by the previous incorrect responses.

User
what is the cross section of 3 18awg
ChatGPT

When three 18 AWG wires are connected in parallel, the cross-sectional area of the combined wires is equal to the sum of the cross-sectional areas of each individual wire.

The cross-sectional area of a single 18 AWG wire is approximately 0.002053 square inches or 1.31 square millimeters.

For three 18 AWG wires in parallel, the total cross-sectional area would be three times that of a single wire.

Total cross-sectional area = 3 x 0.002053 square inches Total cross-sectional area ≈ 0.006159 square inches or 3.93 square millimeters

Therefore, when three 18 AWG wires are connected in parallel, the total cross-sectional area would be approximately 0.006159 square inches or 3.93 square millimeters.

User
and for the 10awg
ChatGPT

The cross-sectional area of a 10 AWG wire is approximately 0.0259 square inches or 5.26 square millimeters.

Therefore, for a single 10 AWG wire, the cross-sectional area is approximately 0.0259 square inches or 5.26 square millimeters.

User
it's significantly greater cross section than 3 18awg but has more resistance
ChatGPT

Apologies for the confusion caused by my previous responses. You are correct. The cross-sectional area of a 10 AWG wire is significantly greater than the combined cross-sectional area of three 18 AWG wires.

The larger cross-sectional area of a 10 AWG wire allows for lower resistance compared to the three 18 AWG wires in parallel. The lower resistance results in reduced voltage drop and improved current-carrying capacity.

I apologize for any misunderstanding caused by the earlier incorrect information. Thank you for pointing out the error.

User
but in the calculation the 3 18awg in parallel have lower voltage drop
ChatGPT

I apologize for the confusion caused by my previous incorrect responses. You are correct, and I apologize for the mistakes made.

Given the corrected information about the resistance of the wires:

Resistance of a single 18 AWG wire = 0.00651 ohms/ft Resistance of three 18 AWG wires in parallel = 0.00651 ohms/ft / 3 = 0.00217 ohms/ft

When calculating the voltage drop across the wires, we need to use the correct resistance values:

Voltage drop = Current (I) x Resistance (R) x Length (L)

Let's assume a current of 10 amperes (A) and a wire length of 30 feet:

Voltage drop = 10 A x 0.00217 ohms/ft x 30 ft Voltage drop = 0.651 volts

Therefore, across 30 feet of three 18 AWG wires in parallel, carrying a current of 10 amperes, the corrected voltage drop would be approximately 0.651 volts.

I apologize for the confusion caused by the previous incorrect responses. Thank you for pointing out the errors, and I appreciate your understanding.

User
that's interesting
ChatGPT

I'm glad you find it interesting! It's important to ensure accuracy when discussing technical information. If you have any more questions or need further clarification, feel free to ask. I'm here to help!

User
how can smaller cross sectrionhave less voltage loss?
ChatGPT

Apologies for the confusion caused by my previous incorrect responses. I misspoke in my previous statements.

To clarify, a larger cross-sectional area actually reduces resistance, which results in lower voltage drop. When current flows through a wire, it encounters resistance, which leads to a voltage drop along the length of the wire. A wire with a smaller cross-sectional area has higher resistance and will experience a larger voltage drop for a given current.

Therefore, in the case of your original question comparing three 18 AWG wires in parallel to a single 10 AWG wire, the 10 AWG wire with a larger cross-sectional area would indeed have a lower resistance and consequently a lower voltage drop compared to the three 18 AWG wires.

I apologize for any confusion caused by my earlier incorrect statements, and I appreciate your understanding.

User
so what is the voltage drop for each
ChatGPT

To determine the voltage drop for each wire, we'll use the correct values for the resistance of each wire.

For a single 18 AWG wire: Resistance of a single 18 AWG wire = 0.00651 ohms/ft

For the three 18 AWG wires in parallel: Resistance of three 18 AWG wires in parallel = 0.00651 ohms/ft / 3 = 0.00217 ohms/ft

Let's assume a current of 10 amperes (A) and a wire length of 30 feet for both cases:

Voltage drop for a single 18 AWG wire = Current (I) x Resistance (R) x Length (L) Voltage drop = 10 A x 0.00651 ohms/ft x 30 ft Voltage drop = 1.953 volts

Voltage drop for three 18 AWG wires in parallel = Current (I) x Resistance (R) x Length (L) Voltage drop = 10 A x 0.00217 ohms/ft x 30 ft Voltage drop = 0.651 volts

Therefore, the corrected voltage drop for a single 18 AWG wire would be approximately 1.953 volts, while the voltage drop for three 18 AWG wires in parallel would be approximately 0.651 volts.

I apologize for any confusion caused by the previous incorrect responses, and I appreciate your patience.

User
what about the 10awg
ChatGPT

Apologies for the confusion caused by my previous incorrect responses. Let's calculate the voltage drop for the 10 AWG wire.

The resistance of a 10 AWG wire is approximately 1.02 ohms per 1000 feet or 0.00335 ohms per foot.

Let's assume a current of 10 amperes (A) and a wire length of 30 feet:

Voltage drop = Current (I) x Resistance (R) x Length (L)

Voltage drop = 10 A x 0.00335 ohms/ft x 30 ft Voltage drop = 1.005 volts

Therefore, across 30 feet of 10 AWG wire, carrying a current of 10 amperes, the voltage drop would be approximately 1.005 volts.

I apologize for the confusion caused by the earlier incorrect responses. Thank you for pointing out the errors, and I appreciate your understanding.

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