How Do You Calculate the Electric Field at Point P with Two Charges?

AI Thread Summary
To calculate the electric field at point P due to two charges, use the formula E = (8.99e9 * q) / r^2, where r is the distance from the charge. The electric fields from both charges must be considered as vectors, adding them at the specified angle of 41 degrees. The participant initially attempted to calculate the resultant field by multiplying the electric field by the sine of the angle, but this approach was incorrect. It's essential to resolve the electric fields into their components and then sum these components to find the total electric field at point P. Proper vector addition will yield the correct resultant electric field direction and magnitude.
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Homework Statement



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Electric field help, please?
Find the electric field at P in the figure shown below. (Take r = 1.5 m and θ = 41°. Measure the angle counterclockwise from the positive x-axis.)
http://i834.photobucket.com/albums/zz264/kpw0629/1-1.gif


Homework Equations



E=(8.99e9*q)/r^2

The Attempt at a Solution


Ive been doing (8.99e9*q)/r^2=a and then multiplying a by sin of 41 degrees=b. Then, multiplying b by 2=.58 because theyre the same force and you add them together, but that's not right and I don't know what to do differently. I feel like the angle would also be 41 (or 319) because they're even forces but I don't know.
Thanks for any help.
(8.99e9*1/9e-9)/1.5^2=.4439*sin41=.29*2=.58
 
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sin(a)=opposite side/hypotenuse

cos(a)= close side/hypotenuse
which one should be used here?

The 2 charges create the same electric field so the two add up but at an angle. Consider the 2 fields as forces acting on a point and see how they add up.
 
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