Chapter 4: Q13E (page 912)

An open plastic soda bottle with an opening diameter of $2.5 cm$ is placed on a table. A uniform $1.75 - T$ magnetic field directed upward and oriented $25 °$ from the vertical encompasses the bottle. What is the total magnetic flux through the plastic of the soda bottle?

Short Answer

Expert verified

The total magnetic flux through the plastic of the soda bottle is $- 7.79 \times 10^{- 4} Wb$

Step by step solution

Definition of magnetic flux

The term magnetic flux may be defined as the measurement of total magnetic field passing through the given area.

Determine the total magnetic flux through the plastic bottle

The sum of magnetic flux through the plastic and through the open cap is net magnetic flux through the bottle.

$f_{net} = f_{plastic} + f_{cap} f_{net} = o f_{plastic} + f_{cap} = o f_{plastic} = - f_{cap}$

Now

$f_{plastic} = - BAcosθ f_{plastic} = - B ({πr}^{2}) cosθ f_{plastic} = - {πr}^{2} Bcosθ$

Here $B, A, r$ and $θ$ are magnetic field, area of open cap, radius and angle between magnetic field and the area vector respectively.

Put all the given values and $r = d / 2$

$f_{plastic} = - π {(1.25 \times 10^{- 2} m)}^{2} (1.75 T) \cos (25 °) f_{plastic} = - 7.79 \times 10^{- 4} Wb$

Hence, the total magnetic flux through the plastic of the soda bottle is $- 7.79 \times 10^{- 4} Wb$

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An open plastic soda bottle with an opening diameter of $2.5 cm$ is placed on a table. A uniform $1.75 - T$ magnetic field directed upward and oriented $25 °$ from the vertical encompasses the bottle. What is the total magnetic flux through the plastic of the soda bottle?

Short Answer

Step by step solution

Definition of magnetic flux

Determine the total magnetic flux through the plastic bottle

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An open plastic soda bottle with an opening diameter of 2.5cmis placed on a table. A uniform 1.75-Tmagnetic field directed upward and oriented25° from the vertical encompasses the bottle. What is the total magnetic flux through the plastic of the soda bottle?

Short Answer

Step by step solution

Definition of magnetic flux

Determine the total magnetic flux through the plastic bottle

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity and Magnetism

Astrophysics

Wave Optics

Thermodynamics

Medical Physics

Conservation of Energy and Momentum

Study anywhere. Anytime. Across all devices.

An open plastic soda bottle with an opening diameter of $2.5 cm$ is placed on a table. A uniform $1.75 - T$ magnetic field directed upward and oriented $25 °$ from the vertical encompasses the bottle. What is the total magnetic flux through the plastic of the soda bottle?