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Chapter 29: Q. 19 (page 831)

The earth鈥檚 magnetic dipole moment is 8.0脳1022A.m2.

a. What is the magnetic field strength on the surface of the earth at the earth鈥檚 north magnetic pole? How does this compare to the value in Table 29.1? You can assume that the current loop is deep inside the earth.

b. Astronauts discover an earth-size planet without a magnetic field. To create a magnetic field at the north pole with the same strength as earth鈥檚, they propose running a current through a wire around the equator. What size current would be needed?

Short Answer

Expert verified

a. The magnetic field is 61.8渭罢.

b. current is6.3脳108A.

Step by step solution

01

Part (a) Step 1: Given information

We have given,

magnetic moment = 8脳1022A.m2

we have to find the magnetic field at north pole.

02

Simplify

The magnetic field due to dipole

B=渭0渭鈫�2蟺谤3B=(4蟺脳10-7)(8脳1022)2蟺(6.4脳106)3B=61.8渭罢

03

Part (b) Step 1: Given information

We have given,

magnetic dipole moment = 8脳1022A.m2

We have to find the current needed.

04

Simplify

The magnetic dipole moment due to loop is

渭鈫�=A.II=渭鈫�蟺r2I=8脳1022蟺(6.4脳106)2I=6.3脳108A

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The microwaves in a microwave oven are produced in a special tube called a magnetron. The electrons orbit the magnetic field at 2.4 GHz, and as they do so they emit 2.4 GHz electromagnetic waves.

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