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X R The figure above shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x >> R. Consequently, the magnetic field due to the counterclockwise current i in the larger loop is nearly constant throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = V. NOTE: Express your answers to parts (a) and (b) in terms of the given variables. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. ÞB(x) = (b) Determine the magnitude of the induced emf in the smaller loop. E = (c) Determine the direction of the current in the small loop. Choose one ▾

X R The figure above shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x >> R. Consequently, the magnetic field due to the counterclockwise current i in the larger loop is nearly constant throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = V. NOTE: Express your answers to parts (a) and (b) in terms of the given variables. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. ÞB(x) = (b) Determine the magnitude of the induced emf in the smaller loop. E = (c) Determine the direction of the current in the small loop. Choose one ▾

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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X R The figure above shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x >> R. Consequently, the magnetic field due to the counterclockwise current i in the larger loop is nearly constant throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = V. NOTE: Express your answers to parts (a) and (b) in terms of the given variables. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. ÞB(x) = (b) Determine the magnitude of the induced emf in the smaller loop. E = (c) Determine the direction of the current in the small loop. Choose one ▾
Transcribed Image Text:X R The figure above shows two parallel loops of wire having a common axis. The smaller loop (radius r) is above the larger loop (radius R) by a distance x >> R. Consequently, the magnetic field due to the counterclockwise current i in the larger loop is nearly constant throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = V. NOTE: Express your answers to parts (a) and (b) in terms of the given variables. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. ÞB(x) = (b) Determine the magnitude of the induced emf in the smaller loop. E = (c) Determine the direction of the current in the small loop. Choose one ▾
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