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Chapter 29: Q51P (page 836)

A 200−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 3×10-4T.

Step by step solution

01

Listing the given quantities

  • l=25 cm=0.25m
  • d=10 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=μ0in=μ0iNl

03

Calculate the magnitude of the magnetic field

We can calculate the magnetic field.

B=μ0in=μ0iNl=1.26×10-6×0.29×2000.25=2.92×10-4T≈3×10-4T

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

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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.

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?

A solenoid 1.30 long and2.60cm in diameter carries a current of 1.80A. The magnetic field inside the solenoid is 23.0mT . Find the length of the wire forming the solenoid.

In Figure, two long straight wires are perpendicular to the page and separated by distance d1=0.75cm. Wire 1 carries 6.5Ainto the page. What are (a) magnitude and (b) direction (into or out of the page) of the current in wire 2 if the net magnetic field due to the two currents is zero at point P located at distance d2=1.50cmfrom wire 2?

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?
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