Chapter 4: Q12E (page 912)

A horizontal rectangular surface has dimensions $2.80 cm$ by $3.20 cm$ and is in a uniform magnetic field that is directed at an angle of $30.0 °$ above the horizontal. What must the magnitude of the magnetic field be to produce a flux of $3.10 \times 10^{- 4} Wb$ through the surface?

Short Answer

Expert verified

The magnitude of the magnetic field be to produce a flux of $3.10 \times 10^{- 4} Wb$ through the surface is $0.692 T .$

Step by step solution

Definition of magnetic field

The term magnetic field may be defined as the area around the magnet behave like a magnet.

Determine the magnitude of the magnetic field

The magnetic flux can be calculated as

$f_{B} = \int \overset{⇀}{B} \times d \vec{A} f_{B} = \int BAcos (θ) B = \frac{f_{B}}{Acos (θ)}$

But

$A = ab a = 2.30 cm b = 3.20 cm$

Than

$B = \frac{f_{B}}{abcos (θ)}$

Here a, b are the side of rectangle $f_{B}$ is the magnetic flux and B is the magnetic field.

Substitute all the value in the above equation.

$B = \frac{f_{B}}{abcos (θ)} B = \frac{3.10 \times 10^{- 4} Wb}{(2.80 \times 10^{- 2} m) (3.20 \times 10^{- 2} m) \cos (60.0 °)} B = 0.692 T$

Hence, the magnitude of the magnetic field be to produce a flux of role="math" localid="1655717958537" $3.10 \times 10^{- 4} Wb$ through the surface is $0.692 T$

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A horizontal rectangular surface has dimensions $2.80 cm$ by $3.20 cm$ and is in a uniform magnetic field that is directed at an angle of $30.0 °$ above the horizontal. What must the magnitude of the magnetic field be to produce a flux of $3.10 \times 10^{- 4} Wb$ through the surface?

Short Answer

Step by step solution

Definition of magnetic field

Determine the magnitude of the magnetic field

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A horizontal rectangular surface has dimensions 2.80cmby 3.20cmand is in a uniform magnetic field that is directed at an angle of 30.0°above the horizontal. What must the magnitude of the magnetic field be to produce a flux of 3.10×10-4Wb through the surface?

Short Answer

Step by step solution

Definition of magnetic field

Determine the magnitude of the magnetic field

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Force

Turning Points in Physics

Electromagnetism

Famous Physicists

Dynamics

Conservation of Energy and Momentum

Study anywhere. Anytime. Across all devices.

A horizontal rectangular surface has dimensions $2.80 cm$ by $3.20 cm$ and is in a uniform magnetic field that is directed at an angle of $30.0 °$ above the horizontal. What must the magnitude of the magnetic field be to produce a flux of $3.10 \times 10^{- 4} Wb$ through the surface?