lecture 9 - Chapter 29 Electric Potential: Charged...

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1 Electric Potential: Charged Conductor Chapter 29
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2 Electric Potential: Charged Conductor Consider two points ( A and B ) on the surface of the charged conductor E is always perpendicular to the displacement d s Therefore, E · d s = 0 Therefore, the potential difference between A and B is also zero!!!!
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3 Electric Potential: Charged Conductor The potential difference between A and B is zero!!!! Therefore V is constant everywhere on the surface of a charged conductor in equilibrium Δ V = 0 between any two points on the surface The surface of any charged conductor is an equipotential surface Because the electric field is zero inside the conductor, the electric potential is constant everywhere inside the conductor and equal to the value at the surface
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4 Electric Potential: Conducting Sphere: Example 0 E = Electric field inside conducting sphere is 0 0 Q 2 B r B A e e A r r Q Q V V Eds Edr Edr k dr k r r = - = - = = = r r 2 e Q E k r = Electric field outside sphere 0 V = r The same expression for potential (outside sphere) as for the point charge (at the center of the sphere). B
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5 Electric Potential: Conducting Sphere: Example 0 E = Electric field inside conducting sphere is 0 0 Q 2 B B C B C B A A A A C A e e R V V Eds Edr Edr Edr Edr Q Q k dr k r R = - = - = - - = - = = = r r 2 e Q E k r = Electric field outside sphere 0 V = r The electric potential is constant everywhere inside the conducting sphere R C B
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6 Electric Potential: Conducting Sphere: Example r e Q V k r = sphere e Q V k R = for r > R for r < R The potential of conducting sphere!!
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Conducting Sphere: Example 6 9 10 9 10 90000 0.1 sphere e Q C V k V R m - = = = What is the potential of conducting sphere with radius 0.1 m and charge ? 1
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lecture 9 - Chapter 29 Electric Potential: Charged...

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