**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.

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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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Concept explainers

Magnetic Field Of Coaxial Cable

The word coaxial means same axis. So for a long straight cable to be coaxial, it must have concentric cylindrical shaped conductor around it. Coaxial cable (popularly called ‘coax’) has various applications ranging from current conductors to radiofrequency signal transmitters. This cable has lower emission losses and provides protection from electromagnetic interference which allows signals with less power to transmit over longer distances.For example, currents produced in the pickup of a stereo turntable generally travel to the amplifier through a coaxial cable.The self-inductance of a coaxial cable is another important characteristic, because it influences the propagation of electrical signals in the cable.

Question

**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-
clockwise current i in the
R
larger loop is nearly uniform
throughout the smaller loop.
Suppose that x is increasing at
the constant rate dxidt = 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.

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