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Ch 21, L2-AG, S'11

# Ch 21, L2-AG, S'11 - CHAPTER 21 Coulombs Law Electric Field...

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CHAPTER 21 Coulomb’s Law Electric Field

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Coulomb’s Law Charles Coulomb
k = 8.99*10 9 N*m 2 /C 2 (in SI system) 0 4 1 !" = k , where ε 0 is dielectric constant of vacuum ε 0 = 8.85*10 -12 C 2 /N*m 2 Fundamental electric constants

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What force acts between two point charges 1 μ C each separated by 10 cm ? ) C / Nm 10 9 ( 2 2 9 2 2 1 ! = = R q q k F (10 -6 C )( 10 -6 C) = (0.1 m) 2 = 0.9 N
Coulomb Force q 1 q 2 + + F 1,2 F 2,1 ! F 1,2 = " ! F 2,1 q 1 q 2 - - F 1,2 F 2,1 q 1 q 2 - + F 1,2 F 2,1 - Coulomb forces obey Newton s third law : - Coulomb force is a central force Opposite charges Like charges - Superposition of forces : total force acting on a charge is the vector sum of all individual forces acting on that charge

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Coulomb Force vs Gravitational Force How does the electrostatic force between two charges compare with the gravitational force between them, say +1C charge on masses of 1 kg and separated by 1km?
Coulomb Force vs Gravitational Force Both are ‘inverse square’ forces – the 1 st depends on the product of the charges; the 2 nd on the product of the masses. The magnitude of the electrostatic force constant ‘ k in SI units is about 9x10 9 N*m 2 /C 2 , while the magnitude of G is about 6.67x10 -11 N*m 2 /kg 2 . F e /F g ~ 10 20 F e q 1 q 2 + + F e F g F g

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Two equal charges Q are located on the x axis. Midway between them is charge -q at a distance d from each Q . The net Coulomb,
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