Earth's magnetic dipole homework problem

In summary, Earth's magnetic dipole is the magnetic field that surrounds our planet due to the movement of molten iron in its core. It helps protect us from harmful solar radiation, aids in navigation, and maintains our atmosphere. It can be measured using a magnetometer or satellites and can change over time due to internal and external factors. While it may not have a direct impact on our daily lives, it does play a crucial role in many aspects of our world.
  • #1
vinamas
43
1
Homework Statement
The earth's magnetic dipole is 8.0×10^22Am2
a)What is the magnetic field strength on the surface of the earth at the earth's north magnetic pole? You can assume that the current loop is deep inside the earth. Ans=6.25x10^-5 T


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’s, they propose running a current through a wire around the equator. What size current would be needed?
Relevant Equations
B=(mu0*mu)/(2piz^3)
mu=AI A=Area , I = current
So I'm mainly having trouble with part b as I have successfully completed part a. In part b I get an answer of 6.3 x 10 ^8 Amperes which my homework tool flags as incorrect. I'm clueless as to where to go from there or why my approach is wrong?
 
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  • #2
Can you show your calculations for both parts please? Thanks.
 
  • #3
Sure for part a) B=(mu0*mu)/(2piz^3) = (10^-7*2*8*10^22)/(6371 x 10^3)^3 = 6.2 x 10^-5 T
part b) mu=AI , 8x10^22=(pi*(6371x 10^3)^2)(I) solve for I=6.28 x 10^8
 

FAQ: Earth's magnetic dipole homework problem

1. What is the Earth's magnetic dipole?

The Earth's magnetic dipole is the magnetic field that surrounds the Earth and is created by the movement of molten iron in the Earth's outer core. It is essential for protecting the Earth from harmful solar radiation and plays a crucial role in navigation for animals and humans.

2. What is the purpose of the "Earth's magnetic dipole homework problem"?

The purpose of the "Earth's magnetic dipole homework problem" is to help students understand the concept of Earth's magnetic field and how it is created. It also allows students to practice using mathematical equations and data analysis to solve real-world problems.

3. How is the strength of the Earth's magnetic dipole measured?

The strength of the Earth's magnetic dipole is measured using a unit called nanotesla (nT). This unit is a measure of the magnetic field's strength at a specific location on Earth's surface. Scientists use instruments called magnetometers to measure the magnetic field's strength.

4. What factors can affect the Earth's magnetic dipole?

The Earth's magnetic dipole can be affected by several factors, including the Earth's rotation, the movement of molten iron in the outer core, and the influence of the Sun's magnetic field. Changes in these factors can cause the Earth's magnetic field to vary in strength and direction over time.

5. How does the Earth's magnetic dipole protect us from solar radiation?

The Earth's magnetic dipole creates a magnetic shield around the planet that deflects and traps charged particles from the Sun. These particles would otherwise be harmful to living organisms on Earth. This shield is strongest at the poles and weaker at the equator, allowing some particles to enter the atmosphere and create the auroras.

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