Moving Charges and Magnetic Field — Flashcards

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A magnetic field is the region near a magnet where a magnetic needle experiences a torque and rests in a definite direction. The direction of the field at a point is the direction from the south pole …

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A current-carrying wire produces a magnetic field around it. A magnetic needle placed near the wire experiences a torque due to this field and turns from its original direction. Reversing the current …

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Given: I = 50 A, r = 2.5 m Formula: B = (μ0)/(2π) · I/r Step 1: Substitute values B = (2 × 10^-7) × (50)/(2.5) T Step 2: Calculate B = 4 × 10^-6 T Answer: 4 × 10^-6 tesla…

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dB = (μ0/4π) · (I dl sinθ)/r^2 Here, dB is the field due to a small current element Idl, I is current, dl is element length, θ is the angle between dl and r, and r is the distance from the element to …

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Both laws are inverse-square laws and describe fields produced by a source element. Coulomb’s law gives electric field due to charge, while Biot-Savart law gives magnetic field due to current element.

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Given: N = 100, I = 1.0 A, a = 0.08 m Formula: B = μ0NI/(2a) Step 1: Substitute values B = (4π × 10^-7) × 100 × 1.0 / (2 × 0.08) T Step 2: Calculate B = 7.85 × 10^-4 T approximately Answer: 7.85 × 10^…

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Given: I = 9 A, a = 0.10 m, θ = 60° = π/3 rad Formula: B_arc = (μ0/4π)(I/a)θ Step 1: Substitute values B = (10^-7) × (9/0.10) × (π/3) T Step 2: Calculate B = 9.42 × 10^-6 T Answer: 9.42 × 10^-6 tesla…

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Given: I = 10 A, r = 0.20 m Formula: B = μ0I/(2πr) Step 1: Substitute values B = (2 × 10^-7) × (10)/(0.20) T Step 2: Calculate B = 1 × 10^-5 T Answer: 1 × 10^-5 tesla…