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Chapter 15

Chapter 15. Electric Forces and Electric Fields. The Superposition Principle. The resultant force on any one charge equals the vector sum of the forces exerted by the other individual charges that are present. Remember to add the forces as vectors. Problem Solving Strategy.

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Chapter 15

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  1. Chapter 15 Electric Forces and Electric Fields

  2. The Superposition Principle • The resultant force on any one charge equals the vector sum of the forces exerted by the other individual charges that are present. • Remember to add the forces as vectors

  3. Problem Solving Strategy • Draw a diagram of the charges in the problem • Identify the charge of interest • You may want to circle it • Units – Convert all units to SI • Need to be consistent with ke

  4. Problem Solving Strategy, cont • Apply Coulomb’s Law • For each charge, find the force on the charge of interest • Determine the direction of the force • Sum all the x- and y- components • This gives the x- and y-components of the resultant force • Find the resultant force by usingthe Pythagorean theorem and trig

  5. Example 15.2 – page 503 • Three charges lie along the x-axis. The positive charge q1=15µC is at x=2.0m, and the positive charge q2=6.0µC is at the origin. Where must a negative charge q3 be placed on the x-axis so that the resultant electric force on it is zero?

  6. Superposition Principle Example • The force exerted by q1 on q3 is • The force exerted by q2 on q3 is • The total force exerted on q3 is the vector sum of and

  7. Example 15.3 – page 504 • Consider three point charges at the corners of a triangle as shown in Fig.15.8, where q1=6x10-9C, q2=-2x10-9C, and q3=5x10-9C. • A) find the components of force F23 exerted by q2 on q3; • B) find the components of the force F13 exerted by q1 on q3; • C) find the resultant force on q3, in terms of components and also in terms of magnitude and direction.

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