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Unit 1 Day 16: Electric Potential due to any Charge Distribution

Unit 1 Day 16: Electric Potential due to any Charge Distribution. Electric Field due to a single point charge Electric Potential of a ring of charge Electric Potential due to a charged disk. Electric Potential of a Single Point Charge. The electric potential due to a single point charge is:

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Unit 1 Day 16: Electric Potential due to any Charge Distribution

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  1. Unit 1 Day 16: Electric Potential due to any Charge Distribution • Electric Field due to a single point charge • Electric Potential of a ring of charge • Electric Potential due to a charged disk

  2. Electric Potential of a Single Point Charge • The electric potential due to a single point charge is: • In a region where there is a distribution of electric charge, we can sum over all the individual point charges, relative to some point a: • If the charge distribution is continuous, then:

  3. Electric Potential of a Ring of Charge • A thin circular ring which has a uniformly distributed charge Q, the electric potential at point P on the axis of the ring is: • For x>>R, this result reduces to:

  4. Electric Potential due to a Charged Disk • A thin, flat disk of radius R0, having A uniformly distributed charge • Divide the disk into thin rings of Radius R, and thickness dR, so we Can use the previous result. • The disk is uniformly charged (Q), So that the charge contained in each Ring is proportional to its area. • For x>>R0:

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