Lecture07_detailed

# Lecture07_detailed - Lecture 7 Chapter 16 Matter Electric...

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1 Lecture 7 Chapter 16. Matter & Electric Fields * A Spherical Shell of Charge * A Solid Sphere Charged throughout its Volume * Integrating the Spherical Shell Field inside: Field outside: E = 1 4 πε 0 Q r 2 ˆ r (like a point charge) E = 0 Electric Field of a Spherical Shell of Charge We show both a Qualitative approach and Integration approach to demonstrate that the above result for the electric Feld inside and outside a spherical shell of charge E 1 +E 4 E 2 E 3 E 6 E 5 Divide into 6 areas: Direction: radial - due to the symmetry E of a Sphere Outside E 3 = E 5 < E 2 = E 6 The y components of E 2 & E 6 and E 3 & E 5 cancel. Only components in the x direction contribute to the Feld. The net electric Feld is radially outward from the center of the sphere. *Can approximate the electric Feld as being caused by a point charge with a charge equal to the total charge of the sphere. Magnitude: E = 1 4 0 Q r 2 How would a charged sphere interact with other charges? - as a point charge (same force) E of a Sphere Outside As long as we are far from a region of distributed charges we can approximate the electric field of that region as being due to a point charge. *The distance from location “A” to some regions is less than “r” & to other regions greater than “r”.

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Lecture07_detailed - Lecture 7 Chapter 16 Matter Electric...

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