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Chapter 29: Q51P (page 836)

A 200鈭�turnsolenoid having a length of25cmand a diameter of10cmcarries a current of0.29A. Calculate the magnitude of the magnetic field inside the solenoid.

Short Answer

Expert verified

The magnitude of the magnetic field inside the solenoid is 3脳10-4T.

Step by step solution

01

Listing the given quantities

  • l=25鈥�cm=0.25m
  • d=10鈥�cm=0.10m
  • N=200
  • i=0.29A
02

Understanding the concept of magnetic field and solenoid  

We can calculate the magnetic field due to an ideal solenoid. In our case, the solenoid has a definite length, so we use this equation to calculate the magnetic field inside the solenoid.

Formula:

B=渭0in=渭0iNl

03

Calculate the magnitude of the magnetic field

We can calculate the magnetic field.

B=渭0in=渭0iNl=1.26脳10-6脳0.29脳2000.25=2.92脳10-4T鈮�3脳10-4T

Hence, the magnitude of the magnetic field inside the solenoid is 3脳10-4T.

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Most popular questions from this chapter

One long wire lies along an xaxis and carries a current of30A in the positive xdirection. A second long wire is perpendicular to the xyplane, passes through the point 0,4.0m,0, and carries a current of 40A in the positive zdirection. What is the magnitude of the resulting magnetic field at the point0,2.0m,0?

Figure 29-73a shows a length of wire carrying a currentiand bent into a circular coil of one turn. In Fig. 29-73b the same length of wire has been bent to give a coil of two turns, each of half the original radius. (a) IfBaare Bbthe magnitudes of the magnetic fields at the centers of the two coils, what is the ratio BbBa? (b) What is the ratio渭b渭aof the dipole moment magnitudes of the coils?

In Fig. 29-40, two semicircular arcs have radii R2=7.80cmand R1=3.15cmcarry current i=0.281A and have the same center of curvature C. What are the (a) magnitude and (b) direction (into or out of the page) of the net magnetic field at C?

Question: Figure 29-56ashows two wires, each carrying a current .Wire 1 consists of a circular arc of radius Rand two radial lengths; it carries current i1=2.0Ain the direction indicated. Wire 2 is long and straight; it carries a current i2 that can be varied; and it is at distanceR2from the center of the arc. The net magnetic fieldB鈫� due to the two currents is measured at the center of curvature of the arc. Figure 29-56bis a plot of the component of in the direction perpendicular to the figure as a function of current i2. The horizontal scale is set byi2s=1.00A. What is the angle subtended by the arc?

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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