Initial Query

I measure a voltage drop of 30mv over a 2.5 ohm resistor. How long will a 3Ah battery last? Write your ansser 'XXX hours'

LLM Generation

Query

I measure a voltage drop of 30mv over a 2.5 ohm resistor. How long will a 3Ah battery last? Write your ansser 'XXX hours'

Output

To solve this problem, we need to follow these steps: 1. Calculate the current using Ohm's Law: I = V / R 2. Convert millivolts to volts: 30 mV = 0.03 V 3. Calculate the current: I = 0.03 V / 2.5 Ω = 0.012 A or 12 mA 4. Use the battery capacity formula: Time = Capacity / Current So, Time = 3 Ah / 0.012 A = 250 hours Therefore, the answer is: 250 hours

Regex Evaluation

Testing if the previous output matches the regex 250.{,10}hours: True

Initial Query

I measure a voltage drop of 30mv over a 2.5 ohm resistor. How long will a 3Ah battery last? Write your ansser 'XXX hours'

LLM Generation

Query

I measure a voltage drop of 30mv over a 2.5 ohm resistor. How long will a 3Ah battery last? Write your ansser 'XXX hours'

Output

To solve this problem, we need to follow these steps: 1. Calculate the current using Ohm's Law: I = V / R 2. Convert millivolts to volts: 30mV = 0.03V 3. Calculate the current: I = 0.03V / 2.5Ω = 0.012A 4. Use the battery capacity formula: Time = Capacity / Current So, let's calculate: Time = 3Ah / 0.012A = 250 hours Therefore, the answer is: 250 hours

Regex Evaluation

Testing if the previous output matches the regex 250.{,10}hours: True

Initial Query

I measure a voltage drop of 30mv over a 2.5 ohm resistor. How long will a 3Ah battery last? Write your ansser 'XXX hours'

LLM Generation

Query

I measure a voltage drop of 30mv over a 2.5 ohm resistor. How long will a 3Ah battery last? Write your ansser 'XXX hours'

Output

To solve this problem, we need to follow these steps: 1. Calculate the current using Ohm's Law: I = V / R I = 0.030 V / 2.5 Ω = 0.012 A or 12 mA 2. Convert the battery capacity from Amp-hours (Ah) to milliamp-hours (mAh): 3 Ah = 3000 mAh 3. Calculate the battery life by dividing the battery capacity by the current: Battery life = Battery capacity / Current = 3000 mAh / 12 mA = 250 hours Therefore, the answer is: 250 hours

Regex Evaluation

Testing if the previous output matches the regex 250.{,10}hours: True

Initial Query

I measure a voltage drop of 30mv over a 2.5 ohm resistor. How long will a 3Ah battery last? Write your ansser 'XXX hours'

LLM Generation

Query

I measure a voltage drop of 30mv over a 2.5 ohm resistor. How long will a 3Ah battery last? Write your ansser 'XXX hours'

Output

To solve this problem, we need to follow these steps: 1. Calculate the current using Ohm's Law: I = V / R 2. Convert millivolts to volts: 30 mV = 0.03 V 3. Calculate the current: I = 0.03 V / 2.5 Ω = 0.012 A 4. Use the battery capacity formula: Time = Capacity / Current So, let's calculate: Current = 0.012 A Battery Capacity = 3 Ah Time = 3 Ah / 0.012 A = 250 hours Therefore, the answer is: 250 hours

Regex Evaluation

Testing if the previous output matches the regex 250.{,10}hours: True

Initial Query

I measure a voltage drop of 30mv over a 2.5 ohm resistor. How long will a 3Ah battery last? Write your ansser 'XXX hours'

LLM Generation

Query

I measure a voltage drop of 30mv over a 2.5 ohm resistor. How long will a 3Ah battery last? Write your ansser 'XXX hours'

Output

To determine how long a 3Ah battery will last, we need to calculate the current flowing through the resistor and then divide the battery capacity by this current. Let's go through this step-by-step: 1. Calculate the current using Ohm's Law: I = V / R I = 0.030 V / 2.5 Ω I = 0.012 A or 12 mA 2. Now, we know the battery capacity is 3Ah (Amp-hours). To find the time, we divide the capacity by the current: Time = Capacity / Current Time = 3 Ah / 0.012 A Time = 250 hours Therefore, the answer is: 250 hours

Regex Evaluation

Testing if the previous output matches the regex 250.{,10}hours: True