Acircular ring of radius ?lies in the ??plane and is centered on the origin. The half...

Acircular ring of radius ?lies in the ??plane and is centered on the origin. The half on the positive ?side is uniformly charged with a charge +?while the half on the negative ?side is uniformly charged with a total charge −?.

a..Draw a diagram of the charge distribution and without doing any math, determinethe direction of the total electric field at the origin

. b.Calculate the ?component of the electric field at the origin by integrating the charged ring.

i.Draw a diagram of the integration setup. Include your integration variable, the differential element, and the corresponding differential electric field. Label the relevant parameters.

ii.Write an expression for ??in terms of your integration variable.

iii.Write an expression for ??yin terms of your integration variable.

iv.Integrate ??yto find ?yand express in vector form

Expert Solution

genius_generous answered 2 years ago

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