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# 353 Note 24 for PHYS 212 at PSU

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COURSE
PROF.
No professor available
TYPE
Class Notes
PAGES
21
WORDS
KARMA
25 ?

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This 21 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Pennsylvania State University taught by a professor in Fall. Since its upload, it has received 19 views.

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Date Created: 02/06/15
Ch ter 24 Electric Potential Relationship between Work done by a force and ENERGY If you accelerate an object to a greater speed by applying a force you increase its kinetic energy These changes in KE are due to energy transfers you transfer energy from yourself to the object you do work Recalla mark dame by a resultant 6 Mechanical me mm a Pemgmm in ne dimensimm Area AA Fl Ax W0 1 k Work done raising an object of on a falling penguin is independent of path depends only on the endpoints of 39 Function 5 motion Can de ne a Ln CONSERVATION OF MECHANICAL ENERGY W AK net 1 1 mgyf yi mv 7W5 AUAK 0r lmv2m lmv2m 2 139 8y 2 f 83 K1 U1 2 Kf Uf E1 Ef Energy is Conserved for conservative forces Work Energy Theorem The work done by a resultant force changes the kinetic energy of an object IQ Edi WR K KO vaEEV39Vdt3vfVZW Work and ELECTRIC POTENTIAL Energy Energy considerations and the Electric Field Consider a point charge qo in an electric eld E Apply the de nition of work Work due t0 a point charge moving in he presence of another point charge LFNDUJJ Em 39 Work due m a point charge mowing in the presence 0f mower mint charge If fd dscos 9dr 0 47m rArZ q 1 r3 W q047l398 r r It is true far any arbitrary charge ismribu ma The Electric Potential Difference AV The electric force is conservative Potential energy can be de ned according to Divide by test charge to determine change in the potential energycharge AV Electric potential JoulesCoulomb volts v Note the electric eld can now be expressed in voltsm NC Electric Potential of Point charges Potential energy of a point charge is referenced to zero co IS chosen to be the zero point due to the potential energy s dependence on lr The potential at P due to several charges may he found by rst nding the due to each charge and adding SUPERPOSITION The potential is a scalar and may be added algebraically for several charges Equipotential Surfaces consider case when path element d is J to E dV 17 01 Eds cos 6 0 Eds cos90 EidE Equipotential and Field Lines E III a 7 A AU nit J 2 J L 7 ltquot if A re 1 1m we uwm 1mm mm 11 5m 1w Wigwam My 21 Continuous Charge Distribution and Calculating the ElectricField o The electric potential difference for a continuous distribution of charge is found by integrating small increments of charge 39 The electric eld may be found by reversing the process or differentiating Note the mathematical operation is called nding the gradient op B 1 A A 1 VB VA J 1quot 39 d3 L A 2750 l k 4 A L 1 a V 2m x I L lnxwx2zz quotH 39 JP Df quotharm 2 quot o J W Jr gay 2 hnLVx2zz7nd L Ire l a 1 quot x A In 1nL If z2 27mg d 1 x Il 1x The E eet e Potential Difference 1 1 r 1 2 A 11 7 7 I M Lpuumu engage V V q B A 4 g 7239 0 VB VA quotI 1 minimre UJEJHJFQLNHJ 1mm el Jeetr 0 merge 0 A VB VA 2 kds 28 A 0 23 039 VB VA 2 j dz 28 0 2A 7 VB V A2 V V Ed change from moving a charge in a uniform eld E d W 11 03 3 apgp igd Roi L d WM L d013 m Bij ncyfls gtv gugwgy DL 513 g39lwgs 77777777 OB Fat al Conserva nm GE Energy q VB VA qu W applied to mama of a qAVz Wz AK charge The Electron Volt A unit of energy is the electron volt which is de ned as the amount of energy an electronic charge gains when accelerated through a potential difference of one volt 16V 1602 x10 19 J Equipotential and Field Lines Conductors Example of Conductors

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