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Electric Potential. another useful concept. Electrical work. A field does work when it moves a charge. D x. Work done by field = qE D x along a uniform field. Electrical work. Charge has different potential energy U at different locations. D x. – D U = Work done by field = qE D x.
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Electric Potential another useful concept
Electrical work • A field does work when it moves a charge. Dx Work done by field= qEDx along a uniform field
Electrical work • Charge has different potential energy Uat different locations Dx –DU = Work done by field = qEDx • Potential energy is proportional to charge
Electric Potentiale • Potential energy per unit charge e = U/q • Depends on position • Scalar quantity • Unit = J/C = V = volt
Electric Potential What is the work required to move a charged object through a field? higher e lower e Dx Work = qE·Dx = D(U) = qDe e = electric potential = U/unit charge
It makes sense from the relationships between • Electric field and electric force • Electric potential and electric potential energy • Work and potential energy • Force and work Potential and Field • Equipotential surfaces are always perpendicular to electric field lines/vectors. Why? • Potential changes rapidly where field is strong. Why?
Group Work • Draw field lines and equipotential surfaces around a pair of opposite charges. • Draw field lines and equipotential surfaces around a pair of equal charges.
Electric Potential e • DU = Ufinal – Uinitial • De = efinal – einitial
Potential is path-independent • De from a to b is the same for all paths b a
Question An infinite, uniformly positively-charged plane produces a uniform electric field. How does the electric potential change with increasing distance from the plane? Potential increases. Potential decreases. Potential is constant. + + x + + +
d q1 q2 kq1 kq1q2 • Result: W = ; e= d d Potential around a point charge • Convention: e = 0 at d= • So, e(r) = work/charge to bring charge from to d
Potential of Conductors At electrostatic equilibrium: • Field is zero inside conductor • potential is constant Zero net force on all charges
Lightning Safety This is why a car is a good place to be in a thunderstorm. • No electric field inside • No reason for charges to move through you
The Electron Volt eV • Unit of energy • eV = (Elementary charge e) · 1 volt • Compare to Joule = (1 C)(1 V) • e = 1.60210–19 C, so eV = 1.60210–19 J
Question An infinite, uniformly positively-charged plane produces a uniform electric field. If the potential is V(d) a distance d from the plate, what is the potential at infinite distance? V(d) Potential is +. Potential is zero. Potential is –. + + d + + +