Chapter 22: Q3CP (page 906)

:A uniform magnetic field of 3 T points $30^{0}$ away from the perpendicular to the plane of a rectangular loop of wire 0.1 m by 0.2 m (Figure 22.14). What is the magnetic flux on this loop?

Short Answer

Expert verified

The value of the magnetic field is $0.052 T . m^{2}$ .

Step by step solution

Write the given data from the question.

The angle is 30⁰ .

The dimension of the rectangular wire is 0.1 m by 0.2 m.

Determine the formula

Consider the formula for the magnetic flux in the loop as:

$ϕ_{m a g} = \int \vec{B} \cdot d A$

Consider the simplified form of the equation is:

$ϕ_{m a g} = \int \vec{B} A \cos θ$

Determine the value of the magnetic field.

Substitute the values in the formula for the magnetic field and solve as:

$\begin{array}{l} ϕ_{m a g} = (3 T) (0.01 m \times 0.2 m) \cos 30 ° \\ ϕ_{m a g} = (3 T) (0.02 m^{2}) \cos 30 ° \\ ϕ_{m a g} = 0.052 T \cdot m^{2} \end{array}$

Therefore, the value of the magnetic field is $0.052 T \cdot m^{2}$

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:A uniform magnetic field of 3 T points $30^{0}$ away from the perpendicular to the plane of a rectangular loop of wire 0.1 m by 0.2 m (Figure 22.14). What is the magnetic flux on this loop?

Short Answer

Step by step solution

Write the given data from the question.

Determine the formula

Determine the value of the magnetic field.

One App. One Place for Learning.

Most popular questions from this chapter

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:A uniform magnetic field of 3 T points300 away from the perpendicular to the plane of a rectangular loop of wire 0.1 m by 0.2 m (Figure 22.14). What is the magnetic flux on this loop?

Short Answer

Step by step solution

Write the given data from the question.

Determine the formula

Determine the value of the magnetic field.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Translational Dynamics

Fluids

Physics of Motion

Thermodynamics

Electric Charge Field and Potential

Solid State Physics

Study anywhere. Anytime. Across all devices.

:A uniform magnetic field of 3 T points $30^{0}$ away from the perpendicular to the plane of a rectangular loop of wire 0.1 m by 0.2 m (Figure 22.14). What is the magnetic flux on this loop?