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# 13 - 13.RQ.26 A proton should be south of the observation...

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13.RQ.26 A proton should be south of the observation location, an electron north of the observation location, or you could put a proton south and an electron north of the location: E d E d E y y To find the distance d in the first two cases: 1 4 πε 0 e d 2 = E = 10 6 N / C d = 1 4 πε 0 e E = 9 × 10 9 N m 2 / C 2 ( ) 1.6 × 10 19 C 10 6 N / C = 3.8 × 10 8 m To find the distance y in the last case: 2 1 4 πε 0 e y 2 = E = 10 6 N /C y = 2 1 4 πε 0 e E = 2 d = 2 × 3.8 × 10 8 m = 5.4 × 10 8 m

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13.RQ.28 Here are a couple of ways to arrange two point charges in order to make the electric field be zero at some location: +q +q ¥ E net = 0 +2q -q ¥ E net = 0
13.RQ.32 Force by permanent dipole on a distant point charge goes like 1/ r 3 , so doubling the distance will reduce the force by a factor of 1/2 3 = 1/8.

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13.P.37 Making a zero electric field (a) The diagram shows the electric fields contributed by each charge, labeled by their magnitudes. Reading off the dia- gram, because the two electric field vectors must add to zero, we have this: (b) Reading off the diagram, because the two electric field vectors must add to zero, we have this: Proton, + e Helium nucleus, +2 e × r 1 E He E proton r 2 1 4 πε 0 ----------- e r 1 2 --- 1 4 πε 0 ----------- 2 e r 2 2 ---- = r 2 2 2 r 1 2 = r 2 2 r 1 = Electron, – e Helium
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