## At a certain location, the earth’s magnetic field has a magnitude of 5.7×10−5 t and points in a direction that is 73 ∘ below the horizontal.

Question

At a certain location, the earth’s magnetic field has a magnitude of 5.7×10−5 t and points in a direction that is 73 ∘ below the horizontal. part a find the magnitude of the magnetic flux through the top of a desk at this location that measures 81 cm by 85 cm

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1 month 2021-08-02T09:50:49+00:00 1 Answers 3 views 0

1.15 * 10^(-5) Tm²

Explanation:

Parameters given:

Magnitude of magnetic field, B = 5.7 * 10^(-5) T

Angle of magnetic field to the horizontal plane = 73°

Dimension of the desk = 81 cm × 85 cm

Area of desk, A = 6885 cm² = 0.6885 m²

The magnitude of the Magnetic Flux, |Φ|, is given as:

|Φ| = |B * A * cosθ|

Where θ = angle of the Magnetic field to the normal of the desk = 90 – 73 = 17°

Therefore, the magnitude of the Magnetic Flux will be:

|Φ| = |5.7 * 10^(-5) * 0.6885 * cos17|

|Φ| = 3.75 * 10^(-5) Tm²