For increase in line length how size of conductor varies for constant current density
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Explanation:Let us apply a constant voltage across a conductor. The current through the conductor is given by I=V÷R . Since voltage is constant , current is inversely proportional to the resistance R of conductor. Means If resistance is high low current will flow and vice versa. For a conductor the resistance is given by R=[(r×L)÷A ] where L is the length and A is the area of cross section of conductor . Assume L is constant . Now if A is more,resistance (R={r×L}÷A )is less as a result current (I=V÷R) is more and if area is less resistance is more so less current will flow. From this we can conclude that I is directly proportional to the A of conductor.More is the A more is current and vice versa.
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