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by: Alba Ankunding


Marketplace > Texas A&M University > Physics 2 > PHYS 208 > ELECTRICITY AND OPTICS
Alba Ankunding
Texas A&M
GPA 3.73


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Class Notes
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This 1 page Class Notes was uploaded by Alba Ankunding on Wednesday October 21, 2015. The Class Notes belongs to PHYS 208 at Texas A&M University taught by Staff in Fall. Since its upload, it has received 13 views. For similar materials see /class/225909/phys-208-texas-a-m-university in Physics 2 at Texas A&M University.

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Date Created: 10/21/15
Physics 208 i Formula Sheet for Exam 1 You may remove this sheet If you do remove this sheet then do NOT turn it it Force on a charge An electric eld E exerts a force F on a charge 4 given by EqE Coulomb s law A point charge 4 located at the coordinate origin gives rise to an electric eld E given by v 4 A E 7 7 47reo39r2 where 7 is the distance from the origin spherical coor dinate r is the spherical unit vector and 60 is the per mittivity of free space 60 88542 X 10 1202N m2 Superposition The principle of superposition of electric elds states that the electric eld E of any combination of charges is the vector sum of the elds caused by the individual charges EZE To calculate the electric eld caused by a continuous dis tribution of charge divide the distribution into small el ements and integrate all these elements EdEL2 q47reo39r Electric ux Electric ux is a measure of the ow of electric eld through a surface It is equal to the product of the area element and the perpendicular component of E in tegrated over a surface ltIgtE Ecos dAEhdAEM where 45 is the angle from the electric eld E to the sur face norma h Gauss7 Law Gauss7 law states that the total electric ux through any closed surface is determined by the charge enclosed by that surface ltIgtEf1 di 60 Electric conductors The electric eld inside a conductor is zero All ex cess charge on a conductor resides on the surface of that conductor Electric Potential The electric potential is de ned as the potential energy per unit charge If the electric potential at some point is V then the electric potential energy at that point is U qV The electric potential function VOW is given by the line integral vm 7LFEdfVFO Beware of the minus sign This gives the potential pro duced by a point charge q i 47mm for a collection of charges qi 4139 V 7 i 47mg and for a continuous distribution of charge V d4 q 47mm where in each of these cases the potential is taken to be zero in nitely far from the charges Field from potential If the electric potential function is known the vector electric eld can be derived from it 6V 6V 6V ET E E11va EF E or in vector form a 6V 8V BVA E EHEHEQ Beware of the minus sign


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