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Thundies22
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Three charges are aligned along a straight wire as show.
+C ?<--- -3/2 C --->? -C
+ q1 -3/2 q3 - q2
X----------------------------o-----------------------------X
P(midpoint)
|---------------------------- L-----------------------------2L
x=0 -----> +x
Assume that the +q1 charge is situated at the origin and the -q2 charge is located at distance 2L from the origin. Determine the distance that the -1.5q3 charge is from the origin in order that the total electric field at the midpoint of the wire vanishes.
Of course we have the positive charge (E field radially outward) and negative charge (E field radially inward) both directing in the +ve x direction. So we would expect to see the charge -3/2q3 to the left of P (-x) to cancel the two fields in the +x direction from q1 and q2. We would use Etotal = 1/4πεo { E1 + E2- E3 } = 0 and find the distance x by finding a root. Where E1= q/(0-L)2, E2= q/(2L-L)2, E3=3q/2(x-L)2.
I tried this one a few times just going in loops and don't want to confuse anyone one else. For some reason this question which is a trivial 1D problem is getting me lol. Thanks for your support.
+C ?<--- -3/2 C --->? -C
+ q1 -3/2 q3 - q2
X----------------------------o-----------------------------X
P(midpoint)
|---------------------------- L-----------------------------2L
x=0 -----> +x
Assume that the +q1 charge is situated at the origin and the -q2 charge is located at distance 2L from the origin. Determine the distance that the -1.5q3 charge is from the origin in order that the total electric field at the midpoint of the wire vanishes.
Of course we have the positive charge (E field radially outward) and negative charge (E field radially inward) both directing in the +ve x direction. So we would expect to see the charge -3/2q3 to the left of P (-x) to cancel the two fields in the +x direction from q1 and q2. We would use Etotal = 1/4πεo { E1 + E2- E3 } = 0 and find the distance x by finding a root. Where E1= q/(0-L)2, E2= q/(2L-L)2, E3=3q/2(x-L)2.
I tried this one a few times just going in loops and don't want to confuse anyone one else. For some reason this question which is a trivial 1D problem is getting me lol. Thanks for your support.
