**19 Figure 30-47 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 mag- netic field due to the counter- R. clockwise current i in the larger loop is nearly uniform throughout the smaller loop. Suppose that x is increasing at the constant rate dxldt = v. (a) Find an expression for the magnetic flux through the area of the smaller loop as a func- tion of x. (Hint: See Eq. 29-27.) In the smaller loop, find (b) an expression for the induced emf and (c) the direction of the induced current. SSM Fig. 30-47 Problem 19.

**19 Figure 30-47 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 mag- netic field due to the counter- R. clockwise current i in the larger loop is nearly uniform throughout the smaller loop. Suppose that x is increasing at the constant rate dxldt = v. (a) Find an expression for the magnetic flux through the area of the smaller loop as a func- tion of x. (Hint: See Eq. 29-27.) In the smaller loop, find (b) an expression for the induced emf and (c) the direction of the induced current. SSM Fig. 30-47 Problem 19.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 65AP: A current is induced in a circular loop of radius 1.5 cm between two poles of a horseshoe...

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