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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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Presentation on theme: "Arrays of charges Contents: Basic concept: Sum of forces Linear arrays Example Whiteboards 2-D Arrays Example Whiteboards."— Presentation transcript:

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

3 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

4 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!!

5 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

6 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 = N (to the left, attract) r 2 F AB = kq A q B = 1.101N to the right (repel) r 2

7 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 = N (to the left, attract) r 2 F AB = kq A q B = 1.101N to the right (repel) r N-.791 N Finally, = +.31N (To the right)

8 Whiteboards: Linear Charge Arrays 11 | 2 | 323 TOC

9 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 = (to the left, attract) r 2 F BC = kq B q C = 8.40 N to the left (repel) r 2 = left left = = 41 N left

10 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 = (to the right, attract) r 2 F BA = kq B q A = 7.05 N to the left (repel) r 2 = (left) = 4.39 = 4.4 N right

11 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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