Practice question
Question
A long wire carries \( 16 \, \text{A} \). At what distance is the magnetic field \( 8 \times 10^{-6} \,
\text{T} \)? (\( \mu_0 = 4 \pi \times 10^{-7} \, \text{T m/A} \))
Explanation
**Lorentz force** on charge q moving with velocity v in magnetic field B is F = q v × B, magnitude F = q v B sinθ, θ angle between v and B (degrees), unit N. Direction perpendicular to both v and B via right-hand rule. When v ⊥ B, motion circular with radius r = m v/(q B), centripetal force provided by magnetic force. B = (μ₀ I/2 π r) , so r = (μ₀ I/2 π B) . r = (4 π × 10⁻⁷ × 16/2 π × 8 × 10⁻⁶) = (64 × 10⁻⁷/16 × 10⁻⁶) = 0.4 m . Using F
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