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Electrostatic force due to spherical shell of charge
z
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y x
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Spherical coordinates
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z 0 to y x
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z 0 to 0 to 2 r 0 to R y x
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x y z
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Electrostatic force due to spherical shell of charge
q0 z
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Only z-component survives
Electrostatic force due to spherical shell of charge r R z Only z-component survives
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r R z Rcos Why are we doing this?
Electrostatic force due to spherical shell of charge r R z Rcos Why are we doing this? To change variable to which is the polar angle
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Electrostatic force due to spherical shell of charge
z Rcos
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r and are NOT independent
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
R z
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Law of cosines
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
z
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Electrostatic force due to spherical shell of charge
z r = z - R
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Electrostatic force due to spherical shell of charge
z r = z + R
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Electrostatic force due to spherical shell of charge
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Electrostatic force due to spherical shell of charge (inside the shell)
z r = R - z
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Electrostatic force due to spherical shell of charge (inside the shell)
z r = R + z
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Electrostatic force due to spherical shell of charge (inside the shell)
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Electrostatic force due to spherical shell of charge (inside the shell)
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