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30. Consider an infinitesimal segment of the rod, located between x and x + dx . It has length dx and contains charge dq = λ dx , where λ = Q / L is the linear charge density of the rod. Its distance from P 1 is d + x and the potential it creates at P 1 is dV dq dx dx = + = + 1 4 1 4 00 ππ λ εε . To find the total potential at P 1 , we integrate over the length of the rod and obtain:
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