Calculating Heat Produced in a Circuit

To calculate the heat produced in a circuit, we need to use the formula:

Heat (in calories) = I^2 * R * t

Where:
- I is the current in amperes (A)
- R is the resistance in ohms (Ω)
- t is the time in seconds (s)

In this case, we are given that a current of 4A passes through a resistance of 100 ohms for 15 minutes. Let's calculate the heat produced step by step:

Step 1: Convert time to seconds
Given that the time is 15 minutes, we need to convert it to seconds. Since there are 60 seconds in a minute, we have:
15 minutes * 60 seconds/minute = 900 seconds

Step 2: Calculate the heat produced
Using the formula mentioned earlier, we can plug in the given values:
Heat = (4A)^2 * 100Ω * 900s

Simplifying the equation:
Heat = 16A^2 * 100Ω * 900s
Heat = 16 * 100 * 900 calories

Step 3: Calculate the final result
Multiplying the values together:
Heat = 1,440,000 calories

Therefore, the heat produced in this circuit is 1,440,000 calories.

Explanation:
- The heat produced in a circuit is directly proportional to the square of the current, the resistance, and the time.
- In this case, a current of 4A is passing through a resistance of 100 ohms for 15 minutes.
- By using the formula Heat = I^2 * R * t, we can calculate the heat produced.
- We converted the time from minutes to seconds to ensure consistency in the units.
- Plugging in the values and simplifying the equation, we calculated the heat to be 1,440,000 calories.
- Heat in calories represents the amount of energy converted into heat in a system.

344.168 calories...