Solved: Solar Magnetic Energy. Magnetic fields within a

Chapter 30, Problem 47P

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QUESTION:

Problem 47P

Solar Magnetic Energy. Magnetic fields within a sunspot can be as strong as 0.4 T. (By comparison, the earth’s magnetic field is about 1/10,000 as strong.) Sunspots can be as large as 25,000 km in radius. The material in a sunspot has a density of about 3 × 10-4 kg/m3. Assume µ for the sunspot material is µ0. If 100% of the magnetic-field energy stored in a sunspot could be used to eject the sunspot’s material away from the sun’s surface, at what speed would that material be ejected? Compare to the sun’s escape speed, which is about 6 × 105 m/s. (Hint: Calculate the kinetic energy the magnetic field could supply to 1 m3 of sunspot material.)

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QUESTION:

Problem 47P

Solar Magnetic Energy. Magnetic fields within a sunspot can be as strong as 0.4 T. (By comparison, the earth’s magnetic field is about 1/10,000 as strong.) Sunspots can be as large as 25,000 km in radius. The material in a sunspot has a density of about 3 × 10-4 kg/m3. Assume µ for the sunspot material is µ0. If 100% of the magnetic-field energy stored in a sunspot could be used to eject the sunspot’s material away from the sun’s surface, at what speed would that material be ejected? Compare to the sun’s escape speed, which is about 6 × 105 m/s. (Hint: Calculate the kinetic energy the magnetic field could supply to 1 m3 of sunspot material.)

ANSWER:

Problem 47P

Solution 47P

Step 1 :

Introduction

We need to find the speed of the object material ejected by the sun spot

Data given

Magnetic field of sunspot

Density of the material

Escape velocity of sun

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