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Problem 23.6 At a certain location, the Earth\'s magnetic field has a magnitude

ID: 1364620 • Letter: P

Question

Problem 23.6

At a certain location, the Earth's magnetic field has a magnitude of 5.0×105 T and points in a direction that is 69 below the horizontal.

Part A

Find the magnitude of the magnetic flux through the top of a desk at this location that measures 130 cm by 83 cm .

Express your answer using two significant figures.

?

Problem 23.6

At a certain location, the Earth's magnetic field has a magnitude of 5.0×105 T and points in a direction that is 69 below the horizontal.

Part A

Find the magnitude of the magnetic flux through the top of a desk at this location that measures 130 cm by 83 cm .

Express your answer using two significant figures.

=

?

  Wb  

Explanation / Answer

let us assume that the desk    lies in horizontal plane
so the angle to the normal to the desk = 90 -69 = 21 degrees

now flux is given by phi= integral of B. dA

which gives BAcos(theta)

= BAcos(theta)= 5.0×105 T * (120 X10 -2 * 83 X 10-2)* cos 21 =4.649 x10-5 webers

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