A straight current-carrying conductor is placed in a uniform magnetic field and the…

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A straight current-carrying conductor is placed in a uniform magnetic field and the angle θ\theta between the conductor and the magnetic field is slowly varied from 0∘0^{\circ} to 180∘180^{\circ}. (a) Part 1: (a) Describe qualitatively how the magnitude of the magnetic force on the conductor depends on θ\theta, and sketch a labelled graph of force versus θ\theta for the full range 0∘≤θ≤180∘0^{\circ} \leq \theta \leq 180^{\circ}. (b) Part 2: (b) From your graph, identify the values of θ\theta at which the force is zero and at which it attains its maximum value. Explain the physical reasons for these special angles. (c) Part 3: (c) Using appropriate trigonometric reasoning, compare the magnitude of the force at θ=45∘\theta = 45^{\circ} with that at θ=90∘\theta = 90^{\circ}, expressing your answer as a simple fraction of the maximum force.

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