Which of the following statements isTRUE? Heat produced in a current carrying conductor depends upon :a)the nature of current (acordc)b)the time for which the current flows in the conductorc)the strength of the currentd)the resistance of the conductore)all of aboveCorrect answer is option 'E'. Can you explain this answer?

Question

Answer

Heat produced in a current carrying conductor depends upon various factors. Let's analyze each option to understand why the correct answer is option 'E' - all of the above.

1. The nature of the current (AC or DC):
- In an alternating current (AC) circuit, the direction of current changes periodically. As a result, the charges in the conductor experience repeated collisions with the atoms of the material, leading to increased resistance and heat production. Therefore, the nature of the current affects the amount of heat produced.
- In a direct current (DC) circuit, the flow of charges is in one direction only. The charges experience continuous collisions with the atoms, resulting in a steady heat production. Thus, the nature of the current also determines the amount of heat generated.

2. The time for which the current flows in the conductor:
- The longer the current flows through a conductor, the more heat is produced. This is because the charges have more time to collide with the atoms and transfer their energy, resulting in increased heat production.

3. The strength of the current:
- The heat produced in a conductor is directly proportional to the square of the current flowing through it, according to Joule's law. This means that as the current increases, the heat produced also increases exponentially.

4. The resistance of the conductor:
- The resistance of a conductor determines how much opposition it offers to the flow of current. According to Ohm's law, the heat produced in a conductor is directly proportional to its resistance. Therefore, a higher resistance will result in more heat production.

Considering all these factors, we can conclude that heat produced in a current carrying conductor depends on the nature of the current (AC or DC), the time for which the current flows in the conductor, the strength of the current, and the resistance of the conductor. Hence, the correct answer is option 'E' - all of the above.

Answer

1) DC current will travel through the entirety of the wire -- AC current will tend to move on the outside of the conductor (see Skin Effect). This will cause slightly more ohmic heating in AC than in DC. That's why AC wire is usually stranded while DC wire is usually solid -- more strands = more surface area.

the time for which the current flows in the conductor, the resistance of the conductor, the strength of the current.

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