Acircular ring of radius ?lies in the ??plane and is centered onthe origin. The half on the positive ?side is uniformly chargedwith a charge +?while the half on the negative ?side is uniformlycharged with a total charge −?.
a..Draw a diagram of the charge distribution and without doingany math, determinethe direction of the total electric field at theorigin
. b.Calculate the ?component of the electric field at the originby integrating the charged ring.
i.Draw a diagram of the integration setup. Include yourintegration variable, the differential element, and thecorresponding differential electric field. Label the relevantparameters.
ii.Write an expression for ??in terms of your integrationvariable.
iii.Write an expression for ??yin terms of your integrationvariable.
iv.Integrate ??yto find ?yand express in vector form
