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N Des X dQ y

N Des X dQ y

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X h A Ꮎ R dQ y 1) Calculate the E-field at point A generated by a ring with Q and charge density A. This is a hard problem. Break it down in steps: a) write down dẼ in terms of dQ b) write down dQ as Ads where ds is an infinitesimal chunk of the ring, i.e. and infinitesimal arc length. b) Write down the integral expression for dË. Think carefully about the bounds. If we are integrating over ds we should end up with total arc length, which is just the circumference of the circle.
Transcribed Image Text:X h A Ꮎ R dQ y 1) Calculate the E-field at point A generated by a ring with Q and charge density A. This is a hard problem. Break it down in steps: a) write down dẼ in terms of dQ b) write down dQ as Ads where ds is an infinitesimal chunk of the ring, i.e. and infinitesimal arc length. b) Write down the integral expression for dË. Think carefully about the bounds. If we are integrating over ds we should end up with total arc length, which is just the circumference of the circle.
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