2) Using the diagram above for problem 1, find the electric field E at the origin due only to charges qiand q2 expressed in i, j, k`, notation. (Hint: use your result from problem 1 as the starting point).

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Chapter1: Units, Trigonometry. And Vectors
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1) Three equal charges q1, q2, q3= +8.38 µC are
located at the positions shown on the xy axes to the right.
Find the net electrostatic force on charge q3 due to q1 and
q2, expressed in i', j^, k^, notation.
y (m)
3
x (m)
2 3
2) Using the diagram above for problem 1, find the electric field E at the origin due only to
charges q1and q2 expressed in i, j', k', notation. (Hint: use your result from problem 1 as
the starting point).
Transcribed Image Text:1) Three equal charges q1, q2, q3= +8.38 µC are located at the positions shown on the xy axes to the right. Find the net electrostatic force on charge q3 due to q1 and q2, expressed in i', j^, k^, notation. y (m) 3 x (m) 2 3 2) Using the diagram above for problem 1, find the electric field E at the origin due only to charges q1and q2 expressed in i, j', k', notation. (Hint: use your result from problem 1 as the starting point).
Expert Solution
Step 1

2)

Let the positive X and Y-axis are the positive direction of the force and field.

The electrostatic force’s resultant on charge q3 can be found as,

Physics homework question answer, step 1, image 1

Here, F1, F2, k, r13, and r23 represent the force on charge q3 due to charge q1, due to charge q2, the Coulomb’s law constant, the distance between q3 and q1, and the distance between q3 and q1 respectively.

Here, the minus sign represents that the forces are in the negative X and Y-axis.

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