he figure shows two parallel loops of wire having a common axis. The smaller loop (radius r) is bove the larger loop (radius R) by a distance x>>R. Consequently, the magnetic field due to the punterclockwise current / in the larger loop is nearly constant throughout the smaller loop. Suppose nat x is increasing at the constant rate dx/dt v. (a) Find an expression for the magnetic flux arough the area of the smaller loop as a function of x. In the smaller loop, find (b) an expression fo e magnitude of the induced emf and (c) the direction of the induced current.

University Physics Volume 2
18th Edition
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Chapter13: Electromagnetic Induction
Section: Chapter Questions
Problem 69AP: The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm...
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Chapter 30, Problem 023SN
The figure 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 / in the larger loop is nearly constant throughout the smaller loop. Suppose
that x is increasing at the constant rate dx/dt = v. (a) Find an expression for the magnetic flux
through the area of the smaller loop as a function of x. In the smaller loop, find (b) an expression for
the magnitude of the induced emf and (c) the direction of the induced current.
R.
(a)
? ENI
(ь)
2 Edit
(c)
Transcribed Image Text:Chapter 30, Problem 023SN The figure 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 / in the larger loop is nearly constant throughout the smaller loop. Suppose that x is increasing at the constant rate dx/dt = v. (a) Find an expression for the magnetic flux through the area of the smaller loop as a function of x. In the smaller loop, find (b) an expression for the magnitude of the induced emf and (c) the direction of the induced current. R. (a) ? ENI (ь) 2 Edit (c)
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