208M_Fall2010_practice_test3

# 208M_Fall2010_practice_test3 - Things you must know...

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Things you must know Relationship between electric feld and electric Force Relationship between magnetic feld and magnetic Force Electric feld oF a point charge Conservation oF charge Magnetic feld oF a moving point charge The Superposition Principle Other Fundamental Concepts Δ U el = q Δ V Δ V = R f i ~ E d ~ l ≈− ( E x Δ x + E y Δ y + E z Δ z ) Φ el = R ~ E ˆ ndA Φ mag = R ~ B ˆ ndA H ~ E ˆ ndA = q inside ± 0 H ~ B ˆ ndA =0 H ~ B d ~ l = μ 0 I inside path Specifc Results ~ E due to uniFormly charged spherical shell: outside like point charge; inside zero ± ± ± ~ E dipole,axis ± ± ± 1 4 π± 0 2 qs r 3 (on axis, r ± s ) ± ± ± ~ E dipole, ± ± ± 1 4 0 r 3 (on axis, r ± s ) ± ± ± ~ E rod ± ± ± = 1 4 0 Q r p r 2 +( L/ 2) 2 ( r From center) p = electric dipole moment ± ± ± ~ E rod ± ± ± 1 4 0 2 Q/L r (iF r ² L ) ± ± ± ~ E ring ± ± ± = 1 4 0 qz ( z 2 + R 2 ) 3 / 2 ( z along axis) ± ± ± ~ E disk ± ± ± = Q/A 2 ± 0 ² 1 z ( z 2 + R 2 ) 1 / 2 ³ ( z along axis) ± ± ± ~ E disk ± ± ± Q/A 2 ± 0 h 1 z R ´ Q/A 2 ± 0 (iF z ² R ) ± ± ± ~ E capacitor ± ± ± Q/A ± 0 (+ Q and Q disks) ± ± ± ~ E fringe ± ± ± Q/A ± 0 µ s 2 R just outside capacitor Δ ~ B = μ 0 4 π I Δ ~ l × ~r r 2 (short wire) Δ ~ F = I Δ ~ l × ~ B ± ± ± ~ B wire ± ± ± = μ 0 4 π LI r p r 2 L/ 2) 2 μ 0 4 π 2 I r ( r ² L ) ± ± ± ~ B loop ± ± ± = μ 0 4 π 2 IπR 2 ( z 2 + R 2 ) 3 / 2 μ 0 4 π 2 2 z 3 (on axis, z ± R ) μ = IA = 2 ± ± ± ~ B dipole,axis ± ± ± μ 0 4 π 2 μ r 3 (on axis, r ± s ) ± ± ± ~ B dipole, ± ± ± μ 0 4 π μ r 3 (on axis, r ± s ) i = nA ¯ vI = | q | nA ¯ v ¯ v = uE σ = | q | nu J = I A = σE R = L σA E dielectric = E applied K Δ V = q 4 0 ² 1 r f 1 r i ³ due to a point charge Q = C | Δ V | Power = I Δ VI = | Δ V | R (ohmic resistor) K 1 2 mv 2 iF v ² c circular motion: ± ± ± ± d~p dt ± ± ± ± = | ~v | R | ~p |≈ mv 2 R 2

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Constant Symbol Approximate Value Speed of light c
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## This note was uploaded on 01/17/2011 for the course PY 208M taught by Professor Chabay during the Fall '08 term at N.C. State.

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208M_Fall2010_practice_test3 - Things you must know...

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