Electric field at point p if p is on a bisector between two opposite charges

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To find the electric field at point P, which is located on the perpendicular bisector between two opposite charges separated by a distance of 2a, the relevant formula is e=(kQ)/(r^2). The distance from point P to each charge can be determined using the Pythagorean theorem rather than trigonometric functions. The solution requires expressing the electric field in terms of the variables Q, x, a, and k. The discussion emphasizes simplifying the approach to calculating the electric field magnitude.
zyphriss2
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Homework Statement


Determine magnitude of the electric field at the point P. The two charges are separated by a distance of 2a. Point P is on the perpendicular bisector of the line joining the charges, a distance x from the midpoint between them. Express your answer in terms of Q, x, a, and k.


Homework Equations


e=(kq)/(r^2)



The Attempt at a Solution


Top e=((8.99x10^9)*Q)/(tan^-1(a/x))
Bottom e=((8.99x10^9)*Q)/(tan^-1(a/x))

I just don't know how to determine the magnitude, and express my answer in terms of the given variables...i do know that the answer is in terms of q
 
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Hi zyphriss2! :smile:
zyphriss2 said:

The Attempt at a Solution


Top e=((8.99x10^9)*Q)/(tan^-1(a/x))
Bottom e=((8.99x10^9)*Q)/(tan^-1(a/x))

oooh … why so trigonmetric? :cry:

just use Pythagoras! :smile:
 

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