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Chapter 29: Q. 20 (page 831)

What is the line integral of B鈫�between points i and f in FIGURE EX29.20?

Short Answer

Expert verified

The magnetic field integral is0.07T.m.

Step by step solution

01

Given information

We have given,

Magnetic field = 0.1T

we have to find the magnetic field integral.

02

Simplify

Apply ampere's law on wire. since wire is along with the magnetic field in the same direction then

鈭�ifB鈫�dS鈫�=鈭�ifB.ds=B.L

from the diagram

L=0.52m

Then

B.L=0.07T.m

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Most popular questions from this chapter

The uniform 30mTmagnetic field in FIGUREP29.65points in the positive Z-direction. An electron enters the region of magnetic field with a speed of 5.0脳106m/sand at an angle of 30鈭�above the xy-plane. Find the radius rand the pitch pof the electron's spiral trajectory.

What is the net force (magnitude and direction) on each wire in n FIGURE EX29.36?

The coaxial cable shown in FIGURE P29.56 consists of a solid inner conductor of radius R1surrounded by a hollow, very thin outer conductor of radius R2. The two carry equal currents I, but in opposite directions. The current density is uniformly distributed over each conductor.

a. Find expressions for three magnetic fields: within the inner conductor, in the space between the conductors, and outside the outer conductor.

b. Draw a graph of B versus r from r=0to r=2R2if R1=13R2.

The 10-turn loop of wire shown in FIGURE P29.71 lies in a horizontal plane, parallel to a uniform horizontal magnetic field, and carries a 2.0 A current. The loop is free to rotate about a nonmagnetic axle through the center. A 50 g mass hangs from one edge of the loop. What magnetic field strength will prevent the loop from rotating about the axle?

To five significant figures, what are the cyclotron frequencies in a 3.0000Tmagnetic field of the ions (a)O2+, (b)N2+, and (c)CO+? The atomic masses are shown in the table; the mass of the missing electron is less than 0.001u and is not relevant at this level of precision. Although N2+and C2+both have a nominal molecular mass of 28, they are easily distinguished by virtue of their slightly different cyclotron frequencies. Use the following constants:1u=1.6605脳10-27Kg,e=1.6022脳10-19C.
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