Which of the following statements is true? Heat produced in a current carrying conductor depends upon

Options

A. the time for which the current flows in the conductor
B. the resistance of the conductor
C. the strength of the current
D. the nature of current

Explanation

To determine which statements about the heat produced in a current-carrying conductor are true, we can analyze the relationship between heat, current, resistance, and time using the formula for heat produced:

### Step-by-Step Solution:

1. **Understand the Formula**: The heat produced (H) in a current-carrying conductor is given by the formula:
\[ H = I^2 R T \]
where:
- \( H \) = Heat produced
- \( I \) = Current flowing through the conductor
- \( R \) = Resistance of the conductor
- \( T \) = Time for which the current flows

2. **Analyze Each Option**:
- **Option 1: Time for which the current flows in the conductor**:
- From the formula, we see that heat (H) is directly proportional to time (T). Therefore, this statement is true.

- **Option 2: The resistance of the conductor**:
- The formula shows that heat (H) is directly proportional to resistance (R). Hence, this statement is also true.

- **Option 3: The strength of the current**:
- The formula indicates that heat (H) is proportional to the square of the current (\( I^2 \)). Thus, this statement is true as well.

- **Option 4: The nature of the current (AC or DC)**:
- The nature of the current does not affect the total heat produced. In both AC and DC circuits, heat is generated regardless of the direction of current flow. Therefore, this statement is false.

3. **Conclusion**:
- The true statements are:
- Option 1 (Time for which the current flows)
- Option 2 (The resistance of the conductor)
- Option 3 (The strength of the current)
- The false statement is Option 4 (The nature of the current).

### Final Answer:
The true statements are:
1. Time for which the current flows in the conductor.
2. The resistance of the conductor.
3. The strength of the current.