Two charges, Q1= 2.80 C, and Q2= 5.80 C are located at points (0,-3.50 cm ) and
ID: 1951028 • Letter: T
Question
Two charges, Q1= 2.80 C, and Q2= 5.80 C are located at points (0,-3.50 cm ) and (0,+3.50 cm), as shown in the figure.
Answer: 5.22×106 N/C
***I was able to figure out part one of the question, but I am having trouble figuring out how to set up the problem to find the x and y components for the total electric field. I tried setting it up like you would vectors, but at that point I don't really know what to do.
Part 2:
What is the x-component and the y-component of the total electric field at P?
Explanation / Answer
When it comes to something like the electric field or Coulomb's law, you always want to calculate their vector form first. Follow carefully. Say I have Q1 located at : (x1, y1) Q2 located at: (x2, y2) You are asked to find the electricfield at P: (x, y) The total electric field E is the sum of the individual Electric field due to Q2 and due to Q2. The electric field in vector form is: (kQ/r^2)r^ = r^ is the unit vector: For Q1: E1 = (kQ1/(r1)^2) r1^ r1 = sqrt[(x - x1)^2 + (y - y1)^2] r1^= [(x - x1)i + (y - y1)j]/r1 For the field due to E2: E2 = (kQ2/(r2)^2)/r2^ r2 = sqrt[(x - x2)^2 + (y - y2)^2] r2^ = [(x - x2)i + (y - y2)j]/r2 The total E-field at P is: E = E1 + E2 But E1 has an x and y component as does E2. Say: E1 = Ai + Bj E2 = Ci + Dj E = E1 + E2 = (A + C)i + (B + D)j The magnitude of E is: |E| = sqrt[(A + C)^2 + (B + D)^2] It seems that you are confused. You need to know that: |E| IS NOT EQUAL TO: |E1| + |E2| This is all vector analysis. It was not hard at all.
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