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Chapter 29: Q59P (page 861)

What is the magnitude of the magnetic dipole moment 渭鈫� of the solenoid described in Problem 51?

Short Answer

Expert verified

The magnitude of the magnetic dipole moment is0.46鈥�A鈰�m2.

Step by step solution

01

Listing the given quantities:

The length,l=25鈥夆赌塩尘=0.25m

The diameter,d=10鈥夆赌塩尘=0.10m

The number of turns,N=200

The current,i=0.29鈥碱

02

Understanding the concept of magnetic field:

The magnitude of the magnetic dipole moment can be defined as the product of number of turns, current in that loop, and the area of that loop. Using this concept, you can calculate the magnitude of the magnetic dipole moment.

Formula:

The magnetic dipole moment is,

渭=NiA

Here, Nis the number of turns,i is the current,A is the area.

03

Calculations of the magnitude of the magnetic dipole moment:

To calculate the radius of the loop as

R=d2=0.10m2=0.05m

Now the magnetic dipole moment is given by,

渭=NiA=Ni蟺R2=200脳0.29A脳3.14脳(0.05m)2=0.46鈥�A鈰�m2

Hence, the magnitude of the magnetic dipole moment is 0.46鈥�A鈰�m2.

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Most popular questions from this chapter

Question: Figure 29-31 shows four arrangements in which long, parallel, equally spaced wires carry equal currents directly into or out of the page. Rank the arrangements according to the magnitude of the net force on the central wire due to the currents in the other wires, greatest first.

Figure 29-81 shows a wire segment of length 螖s=3cm, centered at the origin, carrying current i=2A in the positive ydirection (as part of some complete circuit). To calculate the magnitude of the magnetic field produced by the segment at a point several meters from the origin, we can use B鈫�=渭04蟺i螖s鈫�脳r^r2 as the Biot鈥揝avart law. This is because r and u are essentially constant over the segment. Calculate (in unit-vector notation) at the(x,y,z)coordinates (a)localid="1663057128028" (0,0,5m)(b)localid="1663057196663" (0,6m,0)(c) localid="1663057223833" (7m,7m,0)and (d)(-3m,-4m,0)

Each of the eight conductors in Figure carries 2.0Aof current into or out of the page. Two paths are indicated for the line integral. 鈭�B鈫�.ds鈫�(a) What is the value of the integral for path 1 and (b) What is the value of the integral for path 2?

A straight conductor carrying current i=5.0Asplits into identical semicircular arcs as shown in Figure. What is the magnetic field at the center C of the resulting circular loop?

In Fig.29-64, five long parallel wires in an xy plane are separated by distance d=50.0cm. The currents into the page are i1=2.00A,i3=0.250A,i4=4.00A,andi5=2.00A; the current out of the page is i2=4.00A. What is the magnitude of the net force per unit length acting on wire 3 due to the currents in the other wires?
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