Electric Potential Energy The electric potential energy of
![Electric Potential Energy The electric potential energy of charge q in a uniform electric Electric Potential Energy The electric potential energy of charge q in a uniform electric](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-1.jpg)
![Analogy to Gravitational PE Gravitation PE depends on mass General Physics 2 Electric potential Analogy to Gravitational PE Gravitation PE depends on mass General Physics 2 Electric potential](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-2.jpg)
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![The Potential Energy of Point Charges Consider two point charges, q 1 and q The Potential Energy of Point Charges Consider two point charges, q 1 and q](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-4.jpg)
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![Which set has a positive potential energy? Which set has a positive potential energy?](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-6.jpg)
![Which set has a negative potential energy? Which set has a negative potential energy?](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-7.jpg)
![EXAMPLE 29. 2 Approaching a charged sphere EXAMPLE 29. 2 Approaching a charged sphere](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-8.jpg)
![EXAMPLE 29. 2 Approaching a charged sphere EXAMPLE 29. 2 Approaching a charged sphere](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-9.jpg)
![The Potential Energy of a Dipole The potential energy of an electric dipole p The Potential Energy of a Dipole The potential energy of an electric dipole p](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-10.jpg)
![The Electric Potential We define the electric potential V (or, for brevity, just the The Electric Potential We define the electric potential V (or, for brevity, just the](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-11.jpg)
![The Electric Potential Inside a Parallel-Plate Capacitor The electric potential inside a parallel-plate capacitor The Electric Potential Inside a Parallel-Plate Capacitor The electric potential inside a parallel-plate capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-12.jpg)
![Electric Potential Think of analogy with gravitational PE, where object with positive PE will Electric Potential Think of analogy with gravitational PE, where object with positive PE will](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-13.jpg)
![Electric Potential low PE High PE - - Unlike mass, charge can be + Electric Potential low PE High PE - - Unlike mass, charge can be +](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-14.jpg)
![EXAMPLE 29. 7 A proton in a capacitor QUESTIONS: EXAMPLE 29. 7 A proton in a capacitor QUESTIONS:](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-15.jpg)
![EXAMPLE 29. 7 A proton in a capacitor EXAMPLE 29. 7 A proton in a capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-16.jpg)
![EXAMPLE 29. 7 A proton in a capacitor EXAMPLE 29. 7 A proton in a capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-17.jpg)
![EXAMPLE 29. 7 A proton in a capacitor EXAMPLE 29. 7 A proton in a capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-18.jpg)
![EXAMPLE 29. 7 A proton in a capacitor EXAMPLE 29. 7 A proton in a capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-19.jpg)
![EXAMPLE 29. 7 A proton in a capacitor EXAMPLE 29. 7 A proton in a capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-20.jpg)
![Electrostatic Potential & PE • When dealing with discrete point charges: Ve and Φ Electrostatic Potential & PE • When dealing with discrete point charges: Ve and Φ](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-21.jpg)
![The Electric Potential of a Point Charge Let q be the source charge, and The Electric Potential of a Point Charge Let q be the source charge, and](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-22.jpg)
![Electric Field & Equipotential Lines • Draw field lines and equipotential lines for the Electric Field & Equipotential Lines • Draw field lines and equipotential lines for the](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-23.jpg)
![Electric Field & Equipotential Lines • Draw field lines and equipotential lines for the Electric Field & Equipotential Lines • Draw field lines and equipotential lines for the](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-24.jpg)
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![Equipotential Lines • connect points in space at same potential • equipotential surface is Equipotential Lines • connect points in space at same potential • equipotential surface is](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-26.jpg)
- Slides: 26
![Electric Potential Energy The electric potential energy of charge q in a uniform electric Electric Potential Energy The electric potential energy of charge q in a uniform electric](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-1.jpg)
Electric Potential Energy The electric potential energy of charge q in a uniform electric field is where s is measured from the negative plate and U 0 is the potential energy at the negative plate (s = 0). It will often be convenient to choose U 0 = 0, but the choice has no physical consequences because it doesn’t affect ΔUelec, the change in the electric potential energy. Only the change is significant.
![Analogy to Gravitational PE Gravitation PE depends on mass General Physics 2 Electric potential Analogy to Gravitational PE Gravitation PE depends on mass General Physics 2 Electric potential](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-2.jpg)
Analogy to Gravitational PE Gravitation PE depends on mass General Physics 2 Electric potential energy depends on charge Electric Potential 2
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![The Potential Energy of Point Charges Consider two point charges q 1 and q The Potential Energy of Point Charges Consider two point charges, q 1 and q](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-4.jpg)
The Potential Energy of Point Charges Consider two point charges, q 1 and q 2, separated by a distance r. The electric potential energy is This is explicitly the energy of the system, not the energy of just q 1 or q 2. Note that the potential energy of two charged particles approaches zero as r .
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![Which set has a positive potential energy Which set has a positive potential energy?](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-6.jpg)
Which set has a positive potential energy?
![Which set has a negative potential energy Which set has a negative potential energy?](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-7.jpg)
Which set has a negative potential energy?
![EXAMPLE 29 2 Approaching a charged sphere EXAMPLE 29. 2 Approaching a charged sphere](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-8.jpg)
EXAMPLE 29. 2 Approaching a charged sphere
![EXAMPLE 29 2 Approaching a charged sphere EXAMPLE 29. 2 Approaching a charged sphere](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-9.jpg)
EXAMPLE 29. 2 Approaching a charged sphere
![The Potential Energy of a Dipole The potential energy of an electric dipole p The Potential Energy of a Dipole The potential energy of an electric dipole p](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-10.jpg)
The Potential Energy of a Dipole The potential energy of an electric dipole p in a uniform electric field E is The potential energy is minimum at ø = 0° where the dipole is aligned with the electric field. Remember p = qs
![The Electric Potential We define the electric potential V or for brevity just the The Electric Potential We define the electric potential V (or, for brevity, just the](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-11.jpg)
The Electric Potential We define the electric potential V (or, for brevity, just the potential) as Charge q is used as a probe to determine the electric potential, but the value of V is independent of q. The electric potential, like the electric field, is a property of the source charges. The unit of electric potential is the joule per coulomb, which is called the volt V:
![The Electric Potential Inside a ParallelPlate Capacitor The electric potential inside a parallelplate capacitor The Electric Potential Inside a Parallel-Plate Capacitor The electric potential inside a parallel-plate capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-12.jpg)
The Electric Potential Inside a Parallel-Plate Capacitor The electric potential inside a parallel-plate capacitor is where s is the distance from the negative electrode. The electric potential, like the electric field, exists at all points inside the capacitor. The electric potential is created by the source charges on the capacitor plates and exists whether or not charge q is inside the capacitor.
![Electric Potential Think of analogy with gravitational PE where object with positive PE will Electric Potential Think of analogy with gravitational PE, where object with positive PE will](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-13.jpg)
Electric Potential Think of analogy with gravitational PE, where object with positive PE will fall if released. Here, p+ has high PE when near + plate and will “fall” toward negative plate when released Think of + charge when wondering if something is high or low potential + charges move from high to low potential
![Electric Potential low PE High PE Unlike mass charge can be Electric Potential low PE High PE - - Unlike mass, charge can be +](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-14.jpg)
Electric Potential low PE High PE - - Unlike mass, charge can be + or -. Thus, PE depends on the sign of the charge. For example, an e- will have high PE when near the - plate and will “fall” toward the + plate when released - charges move from low to high potential
![EXAMPLE 29 7 A proton in a capacitor QUESTIONS EXAMPLE 29. 7 A proton in a capacitor QUESTIONS:](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-15.jpg)
EXAMPLE 29. 7 A proton in a capacitor QUESTIONS:
![EXAMPLE 29 7 A proton in a capacitor EXAMPLE 29. 7 A proton in a capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-16.jpg)
EXAMPLE 29. 7 A proton in a capacitor
![EXAMPLE 29 7 A proton in a capacitor EXAMPLE 29. 7 A proton in a capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-17.jpg)
EXAMPLE 29. 7 A proton in a capacitor
![EXAMPLE 29 7 A proton in a capacitor EXAMPLE 29. 7 A proton in a capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-18.jpg)
EXAMPLE 29. 7 A proton in a capacitor
![EXAMPLE 29 7 A proton in a capacitor EXAMPLE 29. 7 A proton in a capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-19.jpg)
EXAMPLE 29. 7 A proton in a capacitor
![EXAMPLE 29 7 A proton in a capacitor EXAMPLE 29. 7 A proton in a capacitor](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-20.jpg)
EXAMPLE 29. 7 A proton in a capacitor
![Electrostatic Potential PE When dealing with discrete point charges Ve and Φ Electrostatic Potential & PE • When dealing with discrete point charges: Ve and Φ](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-21.jpg)
Electrostatic Potential & PE • When dealing with discrete point charges: Ve and Φ are scalars General Physics 2 F and E are vectors Electric Potential 21
![The Electric Potential of a Point Charge Let q be the source charge and The Electric Potential of a Point Charge Let q be the source charge, and](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-22.jpg)
The Electric Potential of a Point Charge Let q be the source charge, and let a second charge q', a distance r away, probe the electric potential of q. The potential energy of the two point charges is By definition, the electric potential of charge q is The potential extends through all of space, showing the influence of charge q, but it weakens with distance as 1/r. This expression for V assumes that we have chosen V = 0 to be at r = .
![Electric Field Equipotential Lines Draw field lines and equipotential lines for the Electric Field & Equipotential Lines • Draw field lines and equipotential lines for the](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-23.jpg)
Electric Field & Equipotential Lines • Draw field lines and equipotential lines for the following charge distributions - General Physics 2 Electric Potential 23
![Electric Field Equipotential Lines Draw field lines and equipotential lines for the Electric Field & Equipotential Lines • Draw field lines and equipotential lines for the](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-24.jpg)
Electric Field & Equipotential Lines • Draw field lines and equipotential lines for the following charge distributions + General Physics 2 Electric Potential 24
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![Equipotential Lines connect points in space at same potential equipotential surface is Equipotential Lines • connect points in space at same potential • equipotential surface is](https://slidetodoc.com/presentation_image/373fb10e5dbe638d552e35689b3418dd/image-26.jpg)
Equipotential Lines • connect points in space at same potential • equipotential surface is perpendicular to electric field lines General Physics 2 Electric Potential 26
Electrical potential energy
Volts to ev
Expression for electric potential difference
Equipotential lines
Electric potential
Potential difference formula
Electrostatic field formula
Electric field and electric potential
The relation between electric field e and potential v is
Force is the integral of potential energy
Work done by coulomb force
Electric potential energy
How to find electric potential energy
Kinetic energy in electron volts
Formula energy
Relation between potential energy and electric field
Potential energy of system of charges
Electric potential symbol and unit
Electric potential energy
Energy stored formula
Electrostatic potential energy
Mgh si units
Electric potential energy
Electrostatic energy
What is gravitational kinetic energy
Elastic potential energy
What is mechanical energy