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PPE13_PotentialPlates

PPE13_PotentialPlates - Potential Electric Potential of...

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Potential Potential Electric Potential of Electric Potential of Charged Plates Charged Plates © RHJansen
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Potential © RHJansen Potential V is an electricity variable that has no mechanics counterpart. Potential: V is measured in volts V (example: a potential of 2 volts, is written V = 2V) Potential is commonly called Voltage , but there are many ways to say potential. Electrostatic potential , electric potential , or just plain potential . One important version is Potential Difference . This is specifically the change in potential and is the variable Δ V . A more obscure variant is electromotive force, emf, ε . We will see this version used for batteries and generates that create electric potential. V = Εδ gh = ?
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Potential Energy and Potential © RHJansen m g h ground + sky q E d + + + + + + + m g η = 1 2 μω 2 q Εδ ( 29 = 1 2 μω 2 q ς = 1 2 μω 2 W g = ∆ Υ γ = μ γ η W E = ∆ Υ Ε = θ Εδ ( 29 W E = ∆ Υ Ε = θ ς U g = μ γη U E = θ Εδ U E = θ ς Gravity Electricity
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What exactly is Potential ? © RHJansen Potential can be thought of as electrical pressure (like water pressure). Water pressure from the water company movse water to your home. Electrical pressure from the power company moves electricity to your home. The term “high voltage” means that there is a “high potential (high likelihood)” that electricity will move from a high to a low potential. Potential does not harm you. It is a measure of the pressure on the charges and thus the likelihood that charges will move from an object labeled “high voltage” to you. (It pretty much means: Don’t get close to me. I have the ability send lightening bolts at any object with less potential than me.) The size of the lightening bolt (next chapter: current or flow of charge) determines whether injury or death occurs.
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Example 1 © RHJansen Parallel plates have an electric field E = 20 N/C and are separated by a distance d = 10 cm. a. Determine the potential difference between the plates. b. A proton starts at rest at the positive plate. Determine its speed when it reaches the negative plate. We can do this with force and kinematics. ς = Ε δ ς = 20 ( 29 0.10 ( 29 ς = 2.0 ς q ς = 1 2 μω 2 1.6 10 -19 ( 29 2.0 ( 29 = 1 2 1.67 10 -27 ( 29 ω 2 Σ Φ = Φ Ε ma = θΕ v 2 = ω 0 2 + 2 α ξ v = 2 α ξ U E = Κ Or, try energy. v = 1.96 10 4 μ σ
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Example 2 © RHJansen The charged plates shown have a potential difference of 20 V. Determine the speed of the proton exiting the plates.
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