Ch 27: Sources of Magnetic FieldSee all chapters
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Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
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Ch 20: The First Law of Thermodynamics
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Ch 25: Resistors & DC Circuits
Ch 26: Magnetic Fields and Forces
Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics

Solution: Consider N parallel wires, each carrying a current i. If an Amperian loop was chosen that enclosed some of the wires, which of the following statements is true: (a) The line integralĀ āˆ« Bdl would be independent of the number of wires enclosed (b) The lineĀ integralĀ āˆ« Bdl would be independent of the radius of the Amperian loop (for a given number of wires enclosed) (c) Halving the number of wires enclosed would reduce the lineĀ integralĀ āˆ« Bdl by 1/4 (d) The lineĀ integralĀ āˆ« Bdl is independent of the current in each wire i, only depending on the number of wires enclosed

Problem

Consider N parallel wires, each carrying a current i. If an Amperian loop was chosen that enclosed some of the wires, which of the following statements is true:

(a) The line integral ∫ Bdl would be independent of the number of wires enclosed

(b) The line integral ∫ Bdl would be independent of the radius of the Amperian loop (for a given number of wires enclosed)

(c) Halving the number of wires enclosed would reduce the line integral ∫ Bdl by 1/4

(d) The line integral ∫ Bdl is independent of the current in each wire i, only depending on the number of wires enclosed