Answer to Question #219623 in Electric Circuits for carla

Question #219623

On a horizontal axis whose unit is the meter, a linear load ranging from 0 to 1 ma a linear load distribution = 2 nC / m.determine the modulus of the electric field created by the previous loaded bar at the point A of abscissa 2m (we have to find the relation between l, which is the distance between the elementary bar and the point A and x which sweeps the segment [0: 1]

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Expert's answer
2021-07-25T09:16:09-0400

dE=kdqx2dq=λdxλ=2nC/mdq=2dxnCdE=k2dxx2E=2k12dxx2E=2k(1x)12=k×109N/CE=8.99×109×109N/CE=8.99N/CdE=k\dfrac{dq}{x^2}\\ dq=\lambda{dx}\\ \lambda=2nC/m\\ dq=2dxnC\\ dE=k\dfrac{2dx}{x^2}\\ E=2k\int_1^2\dfrac{dx}{x^2}\\ E=2k(\frac{-1}{x})_1^2=k\times10^{-9}N/C\\ E=8.99\times10^9\times10^{-9}N/C\\ E=8.99N/C\\


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