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 >> R. Consequently, the magnetic field due to the counterclockwise current i in the larger loop is nearly constant throughout the smaller loop. Suppose that 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.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section22.3: Motion Of A Charged Particle In A Uniform Magnetic Field
Problem 22.2QQ: A charged particle is moving perpendicular to a magnetic field in a circle with a radius r. (i) An...
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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 >> 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)
8
(b) Determine the magnitude of the induced emf in the smaller loop.
(c) Determine the direction of the current in the small loop.
Choose one
Transcribed Image Text:Xx 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 >> 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) 8 (b) Determine the magnitude of the induced emf in the smaller loop. (c) Determine the direction of the current in the small loop. Choose one
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