A rigid rectangular conducting frame of width and height carries a steady current of…

PHYSICS · Multi-part · CBSE · Physics · Moving Charges and Magnetism · Moving Charges and Magnetism

Problem

A rigid rectangular conducting frame ABCDABCD of width 15 cm15\,\text{cm} and height 10 cm10\,\text{cm} carries a steady current of 4.0 A4.0\,\text{A} flowing in the order A→B→C→D→AA \rightarrow B \rightarrow C \rightarrow D \rightarrow A. The frame is held so that only its base BCBC lies entirely inside a horizontal, uniform magnetic field of magnitude 0.30 T0.30\,\text{T} directed perpendicular to the plane of the frame and pointing out of the page. All other sides lie completely outside the field. (a) Identify which segments of the frame experience a magnetic force and give a reason for your answer. (b) Derive an expression for the net magnetic force acting on the entire frame. (c) Compute the magnitude and direction of this net force. (d) If the frame is allowed to move freely, describe qualitatively the subsequent motion you would expect and justify your answer.

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