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Chapter 4: Q13E (page 912)

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掳 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脳10-4Wb

Step by step solution

01

Definition of magnetic flux

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

02

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.

fnet=fplastic+fcapfnet=ofplastic+fcap=ofplastic=-fcap

Now

fplastic=-叠础肠辞蝉胃fplastic=-B蟺谤2肠辞蝉胃fplastic=-蟺谤2B肠辞蝉胃

Here B,A,rand 胃are magnetic field, area of open cap, radius and angle between magnetic field and the area vector respectively.

Put all the given values andr=d/2

fplastic=-蟺1.25脳10-2m21.75Tcos25掳fplastic=-7.79脳10-4Wb

Hence, the total magnetic flux through the plastic of the soda bottle is -7.79脳10-4Wb

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