2b-HW-CH23-24-revised-2

2b-HW-CH23-24-revised-2 - 23.19 4 3 2 1 q1 0 0 1 q3 r q1q3...

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23.19 01234 0 1 2 3 4 q1 q2 q3 13 2 13 3 1 13 ˆ r r q q k F = r [] 13 13 2 2 13 ˆ 5 1 ˆ 5 2 ˆ ˆ 2 1 2 1 ˆ r r j i j i r r = + = + + = j i F ˆ 82 . 0 ˆ 64 . 1 13 + = r j r r q q k F ˆ 14 . 1 ˆ 23 2 23 3 2 23 = = r () j j i F F F T ˆ 14 . 1 ˆ 82 . 0 ˆ 64 . 1 23 13 + = + = r r r [N] ˆ 326 . 0 ˆ 64 . 1 j i F T = r N 67 . 1 = T F r
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23.22 3 4 1 2 Q -q +q +q +q a/2 a/2 i ˆ j ˆ 2 a Distance between Q and each charge: 2 a = r Force by charge @ 1 on Q: 2 / j ˆ a/2 - i ˆ a/2 ˆ a r where = () r a Q q k F ˆ 2 / 2 = r j i a Q q k F ˆ ˆ 2 2 = r Force by charge @ 3 on Q: j i a Q q k F ˆ ˆ 2 2 + = r Force by charge @ 2 on Q: j i a Q q k j i a Q q k F ˆ ˆ 2 ˆ ˆ 2 2 2 + = = r Force by charge @ 4 on Q: j i a Q q k F ˆ ˆ 2 2 + = r
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23.22 cont 3 4 1 2 Q -q +q +q +q a/2 a/2 i ˆ j ˆ 2 a Total force : () j i j i j i j i a Q q k F T ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ 2 2 + + + + + = r j i a Q q k ˆ 2 ˆ 2 2 2 + = j i a Q q k ˆ ˆ 2 2 2 + = 2 4 a Q q k F T = r Direction is on the line connecting Q and 2 If Q=+Q ! towards –q if Q=-Q ! away -q
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23.24 q1 q2 1m Q/2 Q/2 1m The total charge Q=q1+q2 (1) N 5 . 2 1 2 2 1 = = m q q k F (2) N 5 . 2 1 2 2 2 = = m Q k F Because q2=Q-q1: () 2 1 1 1 m q Q q k F = Set (1)=(2): 4 2 1 1 Q k q q Q k = 0 4 2 1 2 1 = Q Q q q Q Q q 2 2 2 1 ± = From (2): C 10 33 . 3 10 9 5 . 2 4 5 9 × = × = Q Then: C 10 9 . 6 6 1 × = q C 10 5 . 4 5 2 × = q
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23.30 C: (-25cm;75cm) b: (50cm;50cm) a: (-25cm;0) i ˆ j ˆ C 65 µ = q () 625 . 0 75 . 0 25 . 0
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This note was uploaded on 04/19/2008 for the course PHYS 2b taught by Professor Schuller during the Spring '08 term at UCSD.

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2b-HW-CH23-24-revised-2 - 23.19 4 3 2 1 q1 0 0 1 q3 r q1q3...

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