Practice question
Question
A rectangular loop of area \( 0.07 \, \text{m}^2 \) with 10 turns carries \( 5 \, \text{A} \) in a
field of \( 0.8 \, \text{T} \) perpendicular to the plane. What is the torque?
Explanation
**Effect of doubling velocity** on magnetic force F = q v B sinθ is linear increase, F doubles for same θ and B. Electron with charge 1.6×10⁻¹⁹ C, v = 4.5×10⁶ m/s, B = 0.35 T, θ = 90°, F = 1.6×10⁻¹⁹×4.5×10⁶×0.35 = 2.52×10⁻¹³ N, illustrating magnitude for typical lab values. tau = N I A B sin θ , θ = 90° to plane means sin 0° = 1 with normal. tau = 10 × 5 × 0.07 × 0.8 × 1 = 2.8 N m . Using F = q v B sinθ, F = I l B sinθ, B = μ₀ I/(2π
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