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electrostatic fields - Calculating E fields from a...

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Unformatted text preview: Calculating E fields from a Continuous Distribution of Charge In}: Example (disk of charge) 1. Convert dE (vector) to dE (scalar) a/ ”if": / U72. ‘L x2. 2. Write the angle in terms of given variables M716 3. Write dq in terms of dx, dA, or dV 4. Write: In terms of given variables 5"“ 5. What varies? x 6. Evaluate Integrllfl .— I 1 a firm 7 "—1 4324" rib 1 1L - v -- X ‘ i‘r'fi gfiflz.) 4m,” drl Calculating Eflelds from a Continuous Distribution of Charge 1M6 Examp e (disk of charge) 1. Convert dE (vector) to dE (scalar) 5/5 : dE c.4759 — 2. Write the angle in terms of given variables M W' 3. Write dq in terms of dx, dA. or dV J7: {Ase‘ggflfié/fl 4. Write: in terms of given variables 7L ; R ‘ 5. What varies? MM- 6. Evaluate Integral 7% «7C a f _.-———__ ’lfl'fo t” ,5 Calculating E fields from a Continuous Distribution of Charge Example (flof charge) 1. Convert dE (vector) to dE (scalar) 2. Write the angle in terms of given variables (9 r K 69‘, /A’2+ 1?: 3. Write dq in terms of dx, dA, or (NE/W d3 ' fl. 1d; ‘ 2% f‘ 4. Writes in terms of given variables z e: (X'zftE'ZJI/z I 5. What varies? #1? g? . 6. Evaluate Integral ‘27; IQXZ ,272“. -—--"" 3/1 3 4% 5;? M729 Calculating E fields from a Continuous Distribution of Charge Examplexfiof charge) 1. Convert dE (vector) to dE (scalar) d5 —’ /E 095 49 2. Write the angle in terms of given variables _ __)_(_ @544" $137)”? 3. Write dq in terms of dx, dA. or dV 4. Write, in terms of given variabies I/' ’ z. a = /xz+ a- 9 5. What varies? X 6. Evaluate Integral p r X ' xw‘fl / 4'"!— .—- /——""_ z 2 5/2 ' l/Ife, {1’ “’1 J i\ Calculating E fields from 3 Continuous Distribution of Charge Example (disk of charge) 1. Convert dE (vector) to dE (scalar) ‘1— 4’ 4.959 = J 2/3— 54954? d5 5 #1729 f 2 I 2. Write the angle in terms of given variables x 685 9 :- [fir-x”) 7‘ 3. Write dq in terms of dx, dA, or dV 45; (rd/2 : (Valarie/£- 4. Writeg in terms of given variables 4’ r 45 , -£— ft; .— —-— jg?) firs. 59 4” E" {4 if 5. What varies? ”(Mae's [Z W5 Magmafiai‘. 6. Evaluate Integral F- ...
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