Elec Field II - PHY 2049C General Physics B Fields,...

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PHY 2049C – General Physics B Fields, Circuits, Waves, Light Today: 1) Electric Fields of Extended Charges 2) Gauss' Law
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Important Points: Field Lines Field Lines : ± Electric field lines originate in +Q, terminate in -Q ± to /from ± number of lines prop. Q ± Field E prop. density ± do not cross ± Charge distributed evenly on plane surface: constant field + E
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Important Points: Coulomb Field The field E generated by a single point source Q There is a E vector at every point in space. +Q 2 ˆ () Q E rkr r = G ˆ r r r = G
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Superposition Principle The field due to multiple charges is calculated as a sum of all individual field vectors due to individual charges The radius vectors point from the charge to the location in question. (Each field vector is calculated through the Coulomb-field expression) 2- 1 + E t o 2- 1+ r 1 2 2 ˆ i ii i q EE = k r r = ∑∑ GG
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Dipole-Field The field due to a pair of equal and opposite charges is called a “dipole” field. Field on axis (Example 20.5): - + x y E x 1 = -a x 2 = +a E 2 E 1 1 2 22 3 / 2 3 () ˆˆ 2 ˆ 2 ˆ ( ) kq a k q a Ei i rr kqa i ay kqa iy a y ⎛⎞ =+ ⎜⎟ ⎝⎠ =− + −> > G ±
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Question 1 ? ? x y E Two unknown charges are placed positioned on the x-axis at the same distance from the origin. On the y-axis, one measures an electric field pointing towards the origin. What do you conclude about the charges ? 1.) Both are equal and of opposite sign 2.) Both are equal and negative 3.) Both are equal and positive 4.) Both are equal, but sign undetermined 5.) Can not be equal 1 2
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Question 2 Your metal door key of length 3 cm and irregular
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Elec Field II - PHY 2049C General Physics B Fields,...

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