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

Arrays of charges Contents: Basic concept: Sum of forces Linear arrays Example Whiteboards 2-D Arrays Example Whiteboards. F CB. A. B. C. F AB. Basic Concept. Three equal positive charges A, B, C The force on B is the sum of the forces of repulsion from A and C. TOC. A. B. C.

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

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

  2. FCB A B C FAB Basic Concept • Three equal positive charges A, B, C • The force on B is the sum of the forces of repulsion from A and C TOC

  3. A B C FAB+ FCB Basic Concept FCB FAB It’s Vector Time Kiddies!! • Three equal positive charges A, B, C • The force on B is the sum of the forces of repulsion from A and C TOC

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

  5. Linear arrays of charge (Let’s start simple) A B C +12 C +45 C -15 C 67 cm 143 cm • FCB = kqCqB = -.791 N (to the left, attract) • r2 • FAB = kqAqB = 1.101N to the right (repel) • r2 • Find the force on charge B: • Calculate the forces • Figure out direction • Add forces TOC

  6. Linear arrays of charge (Let’s start simple) A B C +12 C +45 C -15 C 67 cm 143 cm -.791 N +1.101 N Finally, +1.101 - .791 = +.31N (To the right) • FCB = kqCqB = -.791 N (to the left, attract) • r2 • FAB = kqAqB = 1.101N to the right (repel) • r2 TOC

  7. Whiteboards: Linear Charge Arrays 1 | 2 | 3 TOC

  8. A B C -180 C +120 C -15 C 70 cm 170 cm What is the force on C? Which direction? • FAC = kqAqC = 33.02 (to the left, attract) • r2 • FBC = kqBqC = 8.40 N to the left (repel) • r2 • = 33.02 left + 8.40 left = 41.42 = 41 N left W 41 N left

  9. A B C +520 C +11 C -140 C 110 cm 160 cm What is the force on A? Which direction? • FCA = kqCqA = 11.44 (to the right, attract) • r2 • FBA = kqBqA = 7.05 N to the left (repel) • r2 • = 11.44 - 7.05 (left) = 4.39 = 4.4 N right W 4.4 N right

  10. A B C D +213 C +213 C -112 C -14 C 90 cm 130 cm 40 cm What is the force on C? Which direction? FAC and FBC cancel out FDC = kqDqC = 17.4 N (to the right, repel) r2 W 17.4 N right

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