I\'m having trouble with this question, I think my answer is right but mastering

Question

I'm having trouble with this question, I think my answer is right but mastering physics thinks otherwise...

Learning Goal: To practice Problem-Solving Strategy 27. 1 for point charge problems. Three positively charged particles, with charges q1 = q, q2 = 2q, and q3 = q (where q > 0), are located at the corners of a square with sides of length d The charge q2 is located diagonally from the remaining (empty) comer. Find the magnitude of the resultant electric field Enet in the empty corner of the square. Model the charged particles as point charges. Part A Below is an incomplete pictorial representation of the situation described in this problem. Complete the sketch by drawing the electric field due to each charge at point P. Make sure that all your vectors have the correct orientation. The orientation of your vectors will be graded. The length of your vectors will not be graded.

Explanation / Answer

you have 3 vectors E1=kq/d ( y direction) E3=kq/d ( x direction) E2=2kq/(d*sqrt(2)) (diagonal direction) resultant field will be along the diagonal so: Etotal = E2 + E1*cos45 + E3*cos45

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