The electric field due to point charge at distance r:
, where q is the charge, r is the distance from the point to the charge, and k is the electrostatic constant.
k is also expressed as:
Therefore, we have the electric field written as:
We'll consider the following figure.
At point 1
The distance between charge 2q and point 1 is:
r12 = 5a2
The distance between charge, -q and point 1 is:
r22 = 5a2
From our figure:
sinθ = 1/sqrt(5)
cosθ = 2/sqrt(5)
The electric field at point 1 due to charge, +2q is:
Charges -q and +2q in the figure are located at x=+-a. Determine the electric field at points 1 to 4. Write each field in component form.
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