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(9%) Problem 9: A semi-infinite rod lies along the positive x-axis with its end at the origin. The rod carries a uniform linear charge density

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(9%) Problem 9: A semi-infinite rod lies along the positive x-axis with its end at the origin. The rod carries a uniform linear charge density of 1 - 4.5 uC/m. Point P is located on the positive y-axis a distance a = 0.15 m from the origin. Refer to the figure. P a dx X - Otheexpertta.com 4 14% Part (a) Consider a thin slice of the rod of thickness dx that is located at distance x from the origin. In which direction will the electric field at P point due to the charge in the thin slice of the rod? Choose the best option. 4 14% Part (b) Choose the correct expression for the x-component of the electric field at point P, dE, , due to the thin slice of the rod. 14% Part (c) Integrate your correct choice in part (b) over the length of the rod to obtain an expression for the x-component of the electric field at P due to the entire rod in terms of 1, a, and the Coulomb constant k. Enter that expression. 14% Part (d) Calculate the value of the x-component of the electric field at point P, in kilonewtons per coulomb, due to the semi-infinite charged rod. 14% Part (e) Choose the correct expression for the y-component of the electric field at point P, dEy , due to the thin slice of the rod. 4 14% Part (f) Integrate your correct choice in part (e) over the length of the rod to obtain an expression for the y-component of the electric field at P due to the entire rod in terms of 1, a, and the Coulomb constant k. Enter that expression. 4 14% Part (g) Calculate the value of the y-component of the electric field at point P, in kilonewtons per coulomb, due to the semi-infinite charged rod. Ey = Grade Summary Deductions 0% Potential 100%

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