Electric Potential and Energy Concepts in Physics

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Gravitational Potential Energy

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<p>Energy due to mass m at height h.</p>

Energy due to mass m at height h.

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Electric Potential Energy

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Energy due to charge q in electric field E.

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93 Terms

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Gravitational Potential Energy

Energy due to mass m at height h.

<p>Energy due to mass m at height h.</p>
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Electric Potential Energy

Energy due to charge q in electric field E.

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Electric Potential

Potential energy per unit charge, measured in volts.

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SI Unit of Electric Potential

Measured in joules per coulomb (J/C).

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Electric Potential Difference

Difference in electric potential between two points.

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Work Done by Electric Field

Work done on charge moving in electric field.

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Positive Charge Movement

Moves from high to low electric potential.

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Negative Charge Movement

Moves from low to high electric potential.

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Electrostatic Force

Conservative force with zero work in closed paths.

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Total Energy Conservation

Total energy in isolated systems remains constant.

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Potential Energy Formula (Gravitational)

U = mgh, where g is gravity.

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Potential Energy Formula (Electric)

U = qEh, where E is electric field strength.

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Force due to Gravity

F = mg, where m is mass.

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Force due to Electric Field

F = qE, where q is charge.

<p>F = qE, where q is charge.</p>
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Work Done by Applied Force

Work equals change in potential energy.

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Electric Potential Energy in Total Energy

Includes kinetic, gravitational, and electric potential energy.

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Charge on Sphere Calculation

Find charge using mass, height, and speed.

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Electric Field Strength

E = F/q, force per unit charge.

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Potential Difference Calculation

Integrate electric field over path between points.

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Electric Potential Unit Conversion

1 eV = 1.6×10^-19 J.

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Work Done by Electric Field Example

Work can be positive or negative depending on charge.

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Proton Movement in Electric Field

Potential energy decreases as proton moves to lower potential.

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Electron Movement in Electric Field

Potential energy increases as electron moves to higher potential.

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Force Variation with Distance

Electrostatic force changes as distance between charges varies.

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Mass of Sphere Example

0.20 kg sphere released from 1.0 m height.

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Speed of Sphere at Ground

Sphere reaches ground at 1.5 m/s.

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Differential Work

Work done by a force over a small distance.

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Line Integral

Integral calculating work along a path between points.

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Electric Potential (V)

Potential energy per unit charge in an electric field.

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Electric Field (E)

Force per unit charge experienced by a test charge.

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Reference Point (Vi)

Chosen point for measuring electric potential, often zero.

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Electric Potential Energy (U)

Energy stored due to position in an electric field.

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Equipotential Surfaces

Surfaces where electric potential is constant throughout.

<p>Surfaces where electric potential is constant throughout.</p>
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Perpendicular Electric Field

Electric field lines are perpendicular to equipotential surfaces.

<p>Electric field lines are perpendicular to equipotential surfaces.</p>
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Potential Energy Change

Difference in potential energy between two positions.

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Superposition Principle

Total potential is the sum of potentials from individual charges.

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Point Charge Potential

Electric potential due to a single point charge.

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Potential Energy Formula

U = kq1q2/r for two point charges.

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Electric Potential Due to Multiple Charges

V = k * Σ(q/r) for N charges.

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Equipotential Surface Properties

Electric field strength varies with spacing of surfaces.

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Potential Energy at Infinity

Potential energy considered zero at infinite separation.

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Kinetic Energy at Infinity

Energy of a charge when moved far from others.

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Potential Energy Calculation

U = kq1q2/r for two charges at distance r.

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Electric Potential Gradient

Rate of change of electric potential with distance.

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Work-Energy Theorem

Work done equals change in kinetic energy.

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Distance (R) from Charge

Distance from a point charge affecting potential.

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Charge (q)

Amount of electric charge influencing electric potential.

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Coulomb's Constant (k)

Proportionality constant in electric force and potential equations.

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Potential Energy Relative to Infinity

Energy comparison to a reference point at infinity.

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Electric Field Line Direction

Direction where electric potential decreases.

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Potential Energy of Charge System

Total energy of a system of interacting charges.

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Electric Potential (V)

Work done per unit charge in an electric field.

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Electric Potential Energy (U)

Work required to assemble a system of charges.

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Point Charge

A charge located at a single point in space.

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Continuous Charge Distribution

Charge spread over a region rather than concentrated.

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Line Charge Density (λ)

Charge per unit length along a line of charge.

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Surface Charge Density (σ)

Charge per unit area on a surface.

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Electric Potential due to Point Charge

V = k(q/r) for a point charge.

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Electric Potential due to Line Charge

Integrate contributions from all segments of charge.

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Electric Potential due to Charged Ring

Potential from a ring treated as point charges.

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Electric Potential Energy Formula

U = k(q_i * q_j/r_ij) for two charges.

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Work Done by Electric Field

Work done moving a charge in an electric field.

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Equipotential Surface

Surface where electric potential is constant.

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Electric Field from Electric Potential

E = -∂V/∂s relates field to potential gradient.

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Spherical Conductor Potential (r

V = (q/(4πε₀R)) for r inside conductor.

<p>V = (q/(4πε₀R)) for r inside conductor.</p>
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Spherical Conductor Electric Field (r

E = 0 inside a charged spherical conductor.

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Spherical Conductor Potential (r>R)

V = (q/(4πε₀r)) for r outside conductor.

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Spherical Conductor Electric Field (r>R)

E = (q/(4πε₀r²)) outside a charged conductor.

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Total Electric Potential (V)

Algebraic sum of potentials from all charges.

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Electric Potential Energy of System

U = Σ(k(q_i * q_j/r_ij)) for multiple charges.

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Potential of Infinite Line Charge

V approaches infinity due to continuous charge.

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Potential of Charged Disk

V calculated by integrating contributions from rings.

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Potential Energy of Three Charges

U calculated for specific charge configurations.

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Electric Potential Energy Work

Work done assembling charges from infinity.

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Electric Potential Gradient

Rate of change of potential with distance.

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Electric Field Components

E_x = -∂V/∂x, E_y = -∂V/∂y, E_z = -∂V/∂z.

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Electric Potential at Center of Sphere

Potential is uniform and equals V = (Q/(4πε₀R)).

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Work energy theorrme

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Reference point at infinty (V =0, at inifity)

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Electric potential

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Change electric Potential energy

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Work done

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Electric field infinity sheet

the top is conducitivy 1/mohlm

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Electric potential uniform electric field

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Electric Potntial general field

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Electric potetnital wiht dereviative

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Electric force

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Electric charge differential formula

dq = linear density * dl

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Potential group point charges

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Electric potential infinite plane of charge

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Electric potential enrgu (U)

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Electric potentail with capital Q

·         Typically q will be charge of election and Q will be the charge of like what is given creating the electric field

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Kinetic energy