Compito M
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Potenziale V(∞) = 0 r ≥ RV(r) = V(∞) + ∫r∞ E dr = 0
r ≥ R
V(r) = V(R) + ∫r∞ (Q - Q (r/R)3) dr == 0 + Q/4πε0 + Q/4πε0 R2 r2/2 + cst
Trova la costante V(R) = 0
Q/4πε0R + Q/8πε0R + cst = 0 ⇒ cst = -(Q/4πε0 R) (1 + 1/2)
V(R) = -Q/4πε0 (1/2l + 1/2R)
30
Ido corrente I1 = qf/R I2 = -f/RP1 = ΔV1I1 = 6f / 2f / 120 WP2 = ΔV2I2 = f / (f/R) / -10 W
34
μ0I R2/2 (R2 + z2)3/2)
dI/dn = Q/TL ⇒ dI = Q/TL drB = ∫-/2 -/2 μ0Q/2 TL = μ0Q/2 TL sinz = μ0Q/GM TLω = 2π/1 T
COMPITO M
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r < R
E = 1/(4 π R2 ε0) * (Q/(4/3) π R3 ) = Q/(4 π ε0 R3) * (1 - (r/R)3)
r > R
E = 0
Potenziale V(∞) = 0 r > R
V(r) = V(∞) + ∫r∞ -E*dr = 0
r < R
V(r) = V(R) + ∫rR -1/(4 π ε0 R2) * (Q - Q (r/R)3) dr =
-0 + Q/(4 π ε0 R) + Q/(4 π ε0 R3) * (r2/2) + cost
Trovo la costante V(R) = 0
Q/(4 π ε0 R) + Q/(8 π ε0 R) + cost = 0 ⇒ cost = -Q/(4 π ε0 R) * (1 + 1/2)
V(a) = -Q/(4 π ε0) * (1/(2r) + 1/(2R))
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Stereo enerbo compito F.
Io conviete I1 = ϕF/R I2 = -F/R
P1 = ΔV1 I1 = 6F 2F/R = 120W
P2 = ΔV2 I2 = F. (F/R) - 10W
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B = μ0 I R2/(2 * (R2 + z2)3/2)
dI/dn = Q/TL ⇒ dI = Q/TL * dr
B = ∫r/L+ε σκQ/(2TL) dr = μ0 Q/(2TL) lnz = μ0Q/GM/L * w lnz
ω = 2 π 1/T
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I Appello 12/01/2017 - Compito C
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I Appello 12/01/2017 - Compito G
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I Appello 12/01/2017 - Compito A
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I Appello 12/01/2017 - Compito D