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Cross section of a conductor is directly proportional to the flow of current give reason?
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Cross section of a conductor is directly proportional to the flow of c...
Introduction
The relationship between the cross-section of a conductor and the flow of current is fundamental in electrical engineering. Understanding this relationship is crucial for designing efficient electrical systems.
Direct Proportionality
The flow of current (I) through a conductor is directly proportional to its cross-sectional area (A). This relationship can be understood through the following points:
  • Ohm's Law: Ohm's Law states that current is proportional to voltage (V) and inversely proportional to resistance (R). When resistance decreases, more current can flow for the same voltage.
  • Resistance and Cross-Section: The resistance (R) of a conductor is given by the formula R = ρ(L/A), where ρ is the resistivity, L is the length, and A is the cross-sectional area. As A increases, R decreases, leading to an increase in current for a given voltage.
  • Electron Flow: A larger cross-section allows more charge carriers (electrons) to move through the conductor simultaneously. This results in a higher current flow, as more electrons contribute to the overall current.
  • Heat Dissipation: A conductor with a larger cross-section can dissipate heat more effectively. This reduces the risk of overheating, which can lead to increased resistance and decreased current flow.
  • Applications: In practical applications, thicker wires are used in high-current applications (e.g., power transmission) to ensure that the conductor can handle the required current without overheating.

Conclusion
In summary, the cross-sectional area of a conductor is directly proportional to the flow of current due to its impact on resistance, electron flow, and heat dissipation. Understanding this relationship is essential for efficient electrical design and safety.
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Cross section of a conductor is directly proportional to the flow of current give reason?
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