The correct answer in the book is (c), but it differsfrom your answer for the va

Question

The correct answer in the book is (c), but it differsfrom your answer for the value of E. Your answer:        E=2kQ/a2 Correct answer:    E=2kQ2/a2 Notice that the Q is squared in the correct answer. Thiscannot not be accomplished by adding                 kQ/a2+kQ/a2 unless there is a rule that I am unaware of. Please help me, Iam very lost and I have a test coming up soon. The correct answer in the book is (c), but it differsfrom your answer for the value of E. Your answer:        E=2kQ/a2 Correct answer:    E=2kQ2/a2 Notice that the Q is squared in the correct answer. Thiscannot not be accomplished by adding                 kQ/a2+kQ/a2 unless there is a rule that I am unaware of. Please help me, Iam very lost and I have a test coming up soon. Notice that the Q is squared in the correct answer. Thiscannot not be accomplished by adding                 kQ/a2+kQ/a2 unless there is a rule that I am unaware of. Please help me, Iam very lost and I have a test coming up soon.

Explanation / Answer

We know that , the force of attraction or repulsion betwen twocharges seperated by certain distanc is :                  F = k q q1 /a2   N Electric field is :                     E = F / q                           =  [  k q q1 /a2  ] / q                         = k q1 /a2     N /C In this problem :                E   =    k q /a2     i  +   k q1 /a2     i                     = 2  k q1 /a2     Hence the coeerct one is :  2  k q1 /a2     Hope this helps u!

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