PPE05_ChargeDensity

# PPE05_ChargeDensity - © RHJansen + + + + + + + + + + The...

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© RHJansen Electricity Fields Electricity Fields Charge Density Charge Density © RHJansen

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Uniform Charge Distribution Charges are spread evenly on or through an object. Conductors : Excess charge is always found on the surface of a conductor. Therefore, a uniform charge on a conductor will be spread evenly over the surface of the object. Insulators : Charges remain where they are placed. When it comes to an insulator you need to be told where the excess charges have been placed. Often problems will state that the excess charge is distributed uniformly throughout the volume of the object. © RHJansen
Charge Density The ratio of charge to either length, area, or volume. When charges are distributed uniformly the ratio of charge to either length, area, or volume will be the same value no matter which portion of the object you sample. In the example below each plus sign represents 1 C of charge. The rod is 10 cm long and is divided into 10 , 1 cm increments.

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Unformatted text preview: © RHJansen + + + + + + + + + + The amount of charge per unit length is the same no matter how many + signs we look at. λ= Θ Λ = 1 0.01 = 3 0.03 = 5 0.05 = 8 0.08 = 10 0.10 = 100Χ μ Linear Charge Density The amount of charge per meter of length © RHJansen λ= Θ Λ λ Linear Charge Density C/m Q Charge C L Length m Useful for linear charge distributions such as those found in wires. Surface Charge Density © RHJansen σ= Θ 4πρ 2 ( 29 2πρΛ ( 29 The amount of charge per square meter of surface area Α σ Surface Charge Density C/m 2 Q Charge C A Aream 2 Often used for spheres And cylinders (without the ends) Volume Charge Density © RHJansen ρ= Θ 4 3 πρ 3 2 Λ ( 29 The amount of charge per square meter of surface area ς ρ Volume Charge Density C/m 3 Q Charge C V Volume m 3 Often used for spheres And cylinders...
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## This note was uploaded on 07/21/2009 for the course PHYSICS 7B taught by Professor Packard during the Spring '08 term at Berkeley.

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PPE05_ChargeDensity - © RHJansen + + + + + + + + + + The...

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