Calculate the electric field on the z-axis given four point charges under the following conditions. The four point charges are located at the vertices of a square with side length a. (a) In the case where all four charges have the same polarity, q1=q2=q3=q4=q. (b) In the case where the polarities of the four charges are different, q1=q3=q, q2=q4=-q. (c) q1=q2=q3=q4=-q.

Calculate the electric field on the z-axis given four point charges under the following conditions. The four point charges are located at the vertices of a square with side length a. (a) In the case where all four charges have the same polarity, q1=q2=q3=q4=q. (b) In the case where the polarities of the four charges are different, q1=q3=q, q2=q4=-q. (c) q1=q2=q3=q4=-q.

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