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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

Expert verified

The total magnetic flux through the plastic of the soda bottle is-7.79×10-4Wb

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=-µþ´¡³¦´Ç²õθfplastic=-BÏ€°ù2³¦´Ç²õθfplastic=-Ï€°ù2B³¦´Ç²õθ

Here B,A,rand θare 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=-π1.25×10-2m21.75Tcos25°fplastic=-7.79×10-4Wb

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

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