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Chapter 32: Q31P (page 969)

In New Hampshire the average horizontal component of Earth’s magnetic field in 1912 was 16μT, and the average inclination or “dip” was 73°. What was the corresponding magnitude of Earth’s magnetic field?

Short Answer

Expert verified

The magnitude of the earth’s magnetic field is 55μT

Step by step solution

01

Listing the given quantities

Horizontal component of magnetic field,Bh=16μT

Inclination,ϕi=73°

02

Understanding the concepts of magnetic field

We use the horizontal component of magnetic field to calculate the magnitude of the earth’s magnetic field.

B=Bhcoscosϕi

03

Calculations of the magnitude of the earth’s magnetic field

The horizontal component of earth’s magnetic field is given by

Bh=Bcosϕi

ϕiis the inclination or dip.

ϕi=73°Bh=16μT

So,

B=Bhcoscosϕi=16×10-6Tcoscos73°=55μT

The magnitude of the earth’s magnetic field is55μT

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Most popular questions from this chapter

An electron in an external magnetic field B⇀ext. has its spin angular momentum Szantiparallel to B⇀ext. If the electron undergoes a spin-flip so thatSz is then parallel th B⇀ext, must energy be supplied to or lost by the electron?

In the lowest energy state of the hydrogen atom, the most probable distance of the single electron from the central proton (the nucleus) isr=5.2×10-11m. (a) Compute the magnitude of the proton’s electric field at that distance. The component μs,zof the proton’s spin magnetic dipole moment measured on a z axis is 1.4×10-26JT. (b) Compute the magnitude of the proton’s magnetic field at the distancer=5.2×10-11mon the z axis. (Hint: Use Eq. 29-27.) (c) What is the ratio of the spin magnetic dipole moment of the electron to that of the proton?

In Fig, a uniform electric field E⇀collapses. The vertical axis scale is set by 6.0×105N/C, and the horizontal axis scale is set by ts=12.0μs. Calculate the magnitude of the displacement current through a 1.6m2area perpendicular to the field during each of the time intervals a,b, and cisshown on the graph.

Does the magnitude of the net force on the current loop of Figs. 32-12a and b increase, decrease, or remain the same if we increase (a) the magnitude of B⇀extand (b) the divergence of B⇀ext?

The induced magnetic field at a radial distance 6.0 mm from the central axis of a circular parallel-plate capacitor is 2.0×10-7T. The plates have a radius 3.0 mm. At what ratedE⇀/dtis the electric field between the plates changing?
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