**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.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter22: Magnetism

Section: Chapter Questions

Problem 68PE: Figure 22.62 shows a long straight wire just touching a loop carrying a current I1. Beth lie in the...

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The current I through a long solenoid with n trims per meter and radius R is changing with time as given by dI/dt. Calculate the induced electric field as a function of distance r from the central axis of the solenoid.
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