Question

Figure -10 nC L - q + - < 1 of 1 > L -10 nC

          Figure
-10 nC
L
-
q
+
-
< 1 of 1 >
L
-10 nC
        
Figure
-10 nC
L
-
q
+
-
< 1 of 1 >
L
-10 nC

Added by Justin M.

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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What magnitude and sign of charge Q will make the force on charge q zero? Figure 1 of 1 -10nC b + Y 1 1 1 L 1 1 1 1 1 - L Q -10nC
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Transcript

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00:01 In this setup, we have four charges in these situations.
00:07 The qa, qb, qc, and qd.
00:11 Where qb, qc have the charge negative 1 column, and the qd have the charge positive 1 column.
00:20 And the question is, we want to know the qa, which makes the electric field at qd is 0.
00:30 So, in this problem, we can use the superposition principle.
00:36 From the principle, we know the electric field at qd, it's not depends on the qd.
00:43 It only depends on qa, qb, and qc.
00:47 So this situation, first we consider the electric field as the x component.
00:55 So we can write the contribution from the qc at x component, which is q.
01:03 E, cx, which is eq2, the q2 divided by the distance is a squared plus 2a square, which is a distance between c and d.
01:18 And we want to now the x component, so this method multiplied by this factor, and we can got that is the contribution from the qc at the x component.
01:33 We can do the same thing for the qb, which is abx.
01:41 It gets something but here is qb and the same distance, but here for the x component is this...
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