Electric Fields with Calculus Video Lessons

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Problem: Consider the setup shown in the figure below, where the arc is a semicircle with radius r. The total charge Q is negative, and distributed uniformly on the semicircle. The charge on a small segment with angle ∆θ is labeled ∆q.  The magnitude of the x-component of the electric field at the center, due to ∆q, is given by

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Problem Details

Consider the setup shown in the figure below, where the arc is a semicircle with radius r. The total charge Q is negative, and distributed uniformly on the semicircle. The charge on a small segment with angle ∆θ is labeled ∆q.  The magnitude of the x-component of the electric field at the center, due to ∆q, is given by

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Our tutors have indicated that to solve this problem you will need to apply the Electric Fields with Calculus concept. You can view video lessons to learn Electric Fields with Calculus. Or if you need more Electric Fields with Calculus practice, you can also practice Electric Fields with Calculus practice problems.

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Our expert Physics tutor, Juan took 5 minutes and 6 seconds to solve this problem. You can follow their steps in the video explanation above.