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# Ub e addachargeqataa2a2 z a 1increases

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Unformatted text preview: fine Φn = Flux th ro ug h Fa c e n dA rr E ⋅ dA < 0 z E A A Φ2 < 0 A Φ3 < 0 A Φ4 < 0 B Φ1 = 0 B Φ2 = 0 B Φ3 = 0 B Φ4 = 0 C 32 Φ1 < 0 Φ1 > 0 C Φ2 > 0 C Φ3 > 0 C Φ4 > 0 Physics 212 Lecture 3, Slide 15 Physics 212 Lecture 3, Slide BB Trapezoid in Constant Field + Q r ˆ E = E0 x y La b e l fa c e s : 1 : x = 0 2 : z = +a 3 : x = +a r E0 3 +Q 1 2 x De fine Φn = Flux th ro ug h Fa c e n Φ = Flux th ro ug h C ub e Add a charge +Q at (­a,a/2,a/2) z A Φ1 increases How does Flux change? A Φ3 increases A Φ increases B B Φ3 decreases B Φ decreases C 39 Φ1 decreases Φ1 remains same C Φ3 remains same C Φ remains same Physics 212 Lecture 3, Slide 16 Physics 212 Lecture 3, Slide Gauss Law E E Q E E dA dA E dA E dA dA E E E r r Qenclosed Φ S = Ñ E ×dA = ∫ ε0 closed surface 40 Physics 212 Lecture 3, Slide 17 Physics 212 Lecture 3, Slide Preflight 6 (A) ΦE increases (B) ΦE decreases (C) ΦE stays same 100 80 60 40 “Flux is just the number of lines coming out of the sphere. The number of lines coming out of the sphere does not change. “ 20 0 43 Physics 212 Lecture 3, Slide 18 Physics 212 Lecture 3, Slide Preflight 4 (A) dΦA increases dΦB decreases 70 60 (B) dΦA decreases dΦB increases (C) d...
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