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∮ B·dA = 0   |   ∮ E·dA = Qε₀
50 %
0.85
0.55
0
0
0
—

B ⊥ I  ·  B ⊥ r
P1 = ⊗  ·  P2 = ⊙  ·  P3 = +x  ·  P4 = −x
∮ B·dA = 0

F = B·I·L·sin θ   |   B = FI·L
4.0 A
0.60 T
0.25 m
90°
0.000
0.0
0.00
90
0.00
0.25
320.00
0.00

I = 4.0 A  |  L = 0.25 m  |  B = 0.60 T F = B·I·L·sin θ
F = 0.60 · 4.0 · 0.25 · 1.000 = 0.60 N
F = 0.60 · 4.0 · 0.25 · 0.500 = 0.30 N
B = FI·L·sin θ = 0.304.0 · 0.25 · 0.500 = 0.60 T

B = μ₀ · I2π · r  |  B = μ₀ · I2 · R  |  B = μ₀ · n · I  |  μ₀ = 4π · 10⁻⁷ T·m/A
5.0 A
0.10 m
0
0
0
—
0
0

I = 5.0 A  ,  r = 0.10 m  ,  μ₀ = 4π · 10⁻⁷ T·m/A B = μ₀ · I2π · r
B = 4π · 10⁻⁷ · 5.02π · 0.10 = 2 · 10⁻⁷ · 5.00.10 = 1.0 · 10⁻⁵ T = 10 µT
B = μ₀ · I2 · R = 4π · 10⁻⁷ · 5.02 · 0.10 = 6.28 · 10⁻⁶0.20 = 3.14 · 10⁻⁵ T = 31.4 µT
3.14 · 10⁻⁵1.0 · 10⁻⁵ = π ≈ 3.14

B₁ = μ₀·I₁2π·d   |   Fℓ = B₁·I₂ = μ₀·I₁·I₂2π·d   |   μ₀ = 4π×10⁻⁷ T·m/A
+10.0 A
+10.0 A
0.050 m
1.0 m
0
0
0
0
—

I₁ = I₂ = 10 A  ,  d = 0.050 m  ,  ℓ = 1.0 m Fℓ = B₁·I₂ = μ₀·I₁·I₂2π·d
B₁ = μ₀·I₁2π·d = 4π×10⁻⁷ · 102π · 0.050 = 4.0×10⁻⁵ T
Fℓ = B₁·I₂ = 4.0×10⁻⁵ · 10 = 4.0×10⁻⁴ N/m F = 4.0×10⁻⁴ · 1.0 = 4.0×10⁻⁴ N

F = |q|·v·B·sinθ   |   r = m·v|q|·B   |   T = 2π·m|q|·B
2.0 µC
2.0 m/s
0.50 T
90°
0
0
0
0
0
0
0
0.00
0
0

sin90° = 1    q = 1.602×10⁻¹⁹ C    m = 9.109×10⁻³¹ kg
F = |q|·v·B·sinθ = 1.602×10⁻¹⁹ · 2.0×10⁶ · 0.50 · 1 = 1.60×10⁻¹³ N
r = m·v|q|·B = 9.109×10⁻³¹ · 2.0×10⁶1.602×10⁻¹⁹ · 0.50 = 1.822×10⁻²⁴8.010×10⁻²⁰ = 2.27×10⁻⁵ m
T = 2π·m|q|·B = 2π · 9.109×10⁻³¹1.602×10⁻¹⁹ · 0.50 = 5.723×10⁻³⁰8.010×10⁻²⁰ = 7.15×10⁻¹¹ s

v = EB   |   r = m · vq · B   |   f = q · B2π · m
3.0·10⁵ V/m
0.20 T
1.50·10⁶ m/s
3.30·10⁻²⁶ kg
3.65·10⁻²⁶ kg
0.50 T
0.80 T
20 kV
1.67·10⁻²⁷ kg
0
0
0
0
0
0
0
0
0
0
0
0
0
0

q·E = q·v·B  →  v = EB
v = 3.0·10⁵0.20 = 1.5·10⁶ m/s
q·v·B = m·v²r  →  r = m·vq·B
r = 3.0·10⁻²⁶ · 1.5·10⁶1.602·10⁻¹⁹ · 0.50 = 4.5·10⁻²⁰8.01·10⁻²⁰ = 0.56 m
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