Find the components of dE (dEx and dEy). Using the results from Q8 and Q9 and th

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Find the components of dE (dEx and dEy). Using the results from Q8 and Q9 and these components, write down and evaluate the integral that you would need to solve in order to determine the magnitude of the electric field at the center of the semi-circle. Remember that your integral should add appropriate components, not the total magnitudes of the field from each differential element! Electric Field from a continuous charge distribution A curved plastic rod of charge + Q forms a semi-circle of radius R in the x-y plane, as shown below. The charge is distributed uniformly across the rod. Determine the magnitude and direction of the electric field E at the center of the circle, proceeding in the steps given below. Choose an appropriate differential element of charge (call it "dq") on the arc and write down an expression for the magnitude of the electric field |dE| at the center of the circle due to this element. (Recall that an arc length can be determined by the radius of the arc and the angular displacement via 5 = r theta. when theta is measured in radians. A differential arc length would thus be determined by a differential angular separation via ds = r d theta.) Use a symmetry argument to determine the direction of the electric field at the center of the circle due to the entire semi-circle of charge. Present your argument using a sketch and an explanation.

Explanation / Answer

hey, if you are new to this site the regulations clearly state that you cannot ask multiple questions under one single post. but we still answer them even of they are some 3-4 questions as well, but you have exceeded the number pretty bad, and do not expext a good reliation solution from the users so all i suggest is split up the question and ask one at a time. this will get you excellent responses

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