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Arrays of charges Contents: Basic concept: Sum of forces Linear arrays Example Whiteboards 2-D Arrays Example Whiteboards

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Basic Concept TOC Three equal positive charges A, B, C The force on B is the sum of the forces of repulsion from A and C ABC F CB F AB

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Basic Concept TOC Three equal positive charges A, B, C The force on B is the sum of the forces of repulsion from A and C ABC F CB F AB F AB + F CB It’s Vector Time Kiddies!!

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Linear arrays of charge (Let’s start simple) TOC Find the force on charge B: 1.Calculate the forces 2.Figure out direction 3.Add forces (Vectors) ABC +45 C -15 C +12 C 67 cm 143 cm

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Linear arrays of charge (Let’s start simple) TOC Find the force on charge B: 1.Calculate the forces 2.Figure out direction 3.Add forces ABC +45 C -15 C +12 C 67 cm 143 cm F CB = kq C q B = -.791 N (to the left, attract) r 2 F AB = kq A q B = 1.101N to the right (repel) r 2

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Linear arrays of charge (Let’s start simple) TOC ABC +45 C -15 C +12 C 67 cm 143 cm F CB = kq C q B = -.791 N (to the left, attract) r 2 F AB = kq A q B = 1.101N to the right (repel) r 2 +1.101 N-.791 N Finally, +1.101 -.791 = +.31N (To the right)

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Whiteboards: Linear Charge Arrays 11 | 2 | 323 TOC

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41 N left W What is the force on C? Which direction? ABC +120 C -15 C -180 C 70 cm 170 cm F AC = kq A q C = 33.02 (to the left, attract) r 2 F BC = kq B q C = 8.40 N to the left (repel) r 2 = 33.02 left + 8.40 left = 41.42 = 41 N left

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4.4 N right W What is the force on A? Which direction? ABC +11 C -140 C +520 C 110 cm 160 cm F CA = kq C q A = 11.44 (to the right, attract) r 2 F BA = kq B q A = 7.05 N to the left (repel) r 2 = 11.44 - 7.05 (left) = 4.39 = 4.4 N right

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17.4 N right W What is the force on C? Which direction? ABC +213 C -14 C +213 C 40 cm 130 cm F AC and F BC cancel out F DC = kq D q C = 17.4 N (to the right, repel) r 2 D 90 cm -112 C

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