A loop of wire with radius r = 0.081 m is in a magnetic field of magnitude B as shown in the figure. The magnetic field is perpendicular to the plane of the loop. B changes from B₁ =0.46 T to B₂ =8.5 T in At=6.5 s at a constant rate. Φ= Express the magnetic flux going through a loop of radius r assuming a constant magnetic field B. Express the change in the magnetic flux going through this loop, AD, in terms of B₁. B₂ and r. Calculate the numerical value of AO in T-m². Express the magnitude of the average induced electric field, E, induced in the loop in terms of AQ, r and Ar. Calculate the numerical value of E in N/C. All content 2024 Expen TA, LLC

A loop of wire with radius r = 0.081 m is in a magnetic field of magnitude B as shown in the figure. The magnetic field is perpendicular to the plane of the loop. B changes from B₁ =0.46 T to B₂ =8.5 T in At=6.5 s at a constant rate. Φ= Express the magnetic flux going through a loop of radius r assuming a constant magnetic field B. Express the change in the magnetic flux going through this loop, AD, in terms of B₁. B₂ and r. Calculate the numerical value of AO in T-m². Express the magnitude of the average induced electric field, E, induced in the loop in terms of AQ, r and Ar. Calculate the numerical value of E in N/C. All content 2024 Expen TA, LLC

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Magnetic Fields

Section: Chapter Questions

Problem 26P: Consider the system pictured in Figure P28.26. A 15.0-cm horizontal wire of mass 15.0 g is placed...

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Consider the system pictured in Figure P28.26. A 15.0-cm horizontal wire of mass 15.0 g is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. The wire is free to move vertically without friction on the two vertical conductors. When a 5.00-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. (a) What forces act on the horizontal wire, and (b) under what condition is the wire able to move upward at constant velocity? (c) Find the magnitude and direction of the minimum magnetic Field required to move the wire at constant speed. (d) What happens if the magnetic field exceeds this minimum value? Figure P28.26