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Heat produced when a steady state current, I passes through an electrical conductor having resistance, 'R' is
- a)IR
- b)I2R
- c)IR2
- d)I2R2
Correct answer is option 'B'. Can you explain this answer?
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Heat produced when a steady state current, I passes through an electri...
Heat produced when a steady state current, I passes through an electrical conductor having resistance, 'R' is I2R.
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Understanding Heat Production in Conductors
When a steady state current, I, flows through an electrical conductor with resistance R, heat is produced due to the resistance of the conductor. This phenomenon is governed by Joule's law of heating.
Joule's Law
- Joule's law states that the heat generated (Q) in a conductor is directly proportional to the square of the current (I) flowing through it and the resistance (R) of the conductor.
Formula for Heat Production
- The formula for heat produced is given by:
- Q = I²R
- This means that the heat generated increases with the square of the current, making it highly sensitive to changes in I.
Reason for Option B (I²R)
- The correct answer is option 'B' (I²R) because:
- If the current is doubled, the heat produced increases by a factor of four (since (2I)² = 4I²).
- This relationship highlights why electrical safety measures are crucial; even small increases in current can lead to significant heat generation.
Implications of Heat Production
- Heat production can lead to:
- Increased temperature of the conductor.
- Potential damage to the material and surrounding components.
- Necessity for heat dissipation mechanisms in electrical systems to prevent overheating.
Conclusion
- Understanding the relationship between current, resistance, and heat production is essential in electrical engineering and safety.
- By recognizing that heat is produced according to the formula Q = I²R, engineers can design systems that manage thermal effects effectively.
When a steady state current, I, flows through an electrical conductor with resistance R, heat is produced due to the resistance of the conductor. This phenomenon is governed by Joule's law of heating.
Joule's Law
- Joule's law states that the heat generated (Q) in a conductor is directly proportional to the square of the current (I) flowing through it and the resistance (R) of the conductor.
Formula for Heat Production
- The formula for heat produced is given by:
- Q = I²R
- This means that the heat generated increases with the square of the current, making it highly sensitive to changes in I.
Reason for Option B (I²R)
- The correct answer is option 'B' (I²R) because:
- If the current is doubled, the heat produced increases by a factor of four (since (2I)² = 4I²).
- This relationship highlights why electrical safety measures are crucial; even small increases in current can lead to significant heat generation.
Implications of Heat Production
- Heat production can lead to:
- Increased temperature of the conductor.
- Potential damage to the material and surrounding components.
- Necessity for heat dissipation mechanisms in electrical systems to prevent overheating.
Conclusion
- Understanding the relationship between current, resistance, and heat production is essential in electrical engineering and safety.
- By recognizing that heat is produced according to the formula Q = I²R, engineers can design systems that manage thermal effects effectively.
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Heat produced when a steady state current, I passes through an electrical conductor having resistance, 'R' isa)IRb)I2Rc)IR2d)I2R2Correct answer is option 'B'. Can you explain this answer?
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