A) Find the magnitude of the electric field at a point halfwaybetween the charge

Question

A) Find the magnitude of the electric field at a point halfwaybetween the charges q1 and   q2. B) Is the magnitude of the electric field halfway between thecharges q2 and q3 greater than, less than, or the same as theelectric field found in part (a)? Explain. C) Find the magnitude of the electric field at the pointspecified in part (b). A) Find the magnitude of the electric field at a point halfwaybetween the charges q1 and   q2. B) Is the magnitude of the electric field halfway between thecharges q2 and q3 greater than, less than, or the same as theelectric field found in part (a)? Explain. C) Find the magnitude of the electric field at the pointspecified in part (b).

Explanation / Answer

F = -q1*q2*k/r^2

E = -qk/r^2
Just convert all distances into x and y components and solve for Exand Ey separately. Then use Ex^2 +Ey^2 = E^2

Ex = -qk/x^2 Be sure to account for direction (i.e. if the charge is to the leftof the point in question, you multiply by an additional negativevalue to represent the direction vector being negative.)

So, for example in the first one we have:

Ex= -k( q1/x1^2 + q2/x2^2 +q3/x3^2):       Notice that because the negative charge(q1) is to the left of q2, the negative value caused by itsposition cancels out the negative value caused by its negativecharge.(x1 = the x distance from q1 to the point inquestion.)

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