A straight wire carrying a steady current is placed exactly along the direction of a…

MATHEMATICS · Single correct · ISC · Mathematics · Physics · Magnetic Effects of Current and Magnetism

Problem

A straight wire carrying a steady current is placed exactly along the direction of a uniform magnetic field. Which of the following statements correctly describes the magnitude of the force experienced by the wire? (a) It is maximum because sin⁡0∘=1\sin 0^{\circ}=1, giving Fmax⁡=ILBF_{\max}= I L B. (b) It equals ILBI L B since cos⁡0∘=1\cos 0^{\circ}=1 is used in F=ILBcos⁡θF = I L B \cos \theta. (c) It is zero because the wire is parallel to the field. (d) It is half the maximum possible value, F=12ILBF = \dfrac{1}{2} I L B, as only half the current interacts.

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