The expression for the flux through a loop.

Question

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Answer 1

Question

Chapter 20, Problem 1RQ

To determine

The expression for the flux through a loop.

Expert Solution & Answer

Answer to Problem 1RQ

The flux through a loop is the product of its area and the normal component of the magnetic field.

Explanation of Solution

The magnetic flux is the number of magnetic field lines that passing the area inside the loop. Therefore, the magnetic flux increases with increase in the area of the loop.

Magnetic flux through a loop is directly proportional to the number of magnetic lines passes through the loop area and the component of magnetic field normal to the loop.

Write the expression for the magnetic flux

Φ=B⋅A

Here, Φ is the magnetic flux, B is the normal component of the magnetic field and A is the area of the loop.

Conclusion:

Thus, the flux through a loop is the product of its area and the normal component of the magnetic field.

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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).

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simple diagram to illustrate the setup for each law- coulombs law and biot savart law

Answer 2

Question

Chapter 20, Problem 1RQ

To determine

The expression for the flux through a loop.

Expert Solution & Answer

Answer to Problem 1RQ

The flux through a loop is the product of its area and the normal component of the magnetic field.

Explanation of Solution

The magnetic flux is the number of magnetic field lines that passing the area inside the loop. Therefore, the magnetic flux increases with increase in the area of the loop.

Magnetic flux through a loop is directly proportional to the number of magnetic lines passes through the loop area and the component of magnetic field normal to the loop.

Write the expression for the magnetic flux

Φ=B⋅A

Here, Φ is the magnetic flux, B is the normal component of the magnetic field and A is the area of the loop.

Conclusion:

Thus, the flux through a loop is the product of its area and the normal component of the magnetic field.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 20, Problem 1RQ

To determine

The expression for the flux through a loop.

Expert Solution & Answer

Answer to Problem 1RQ

The flux through a loop is the product of its area and the normal component of the magnetic field.

Explanation of Solution

The magnetic flux is the number of magnetic field lines that passing the area inside the loop. Therefore, the magnetic flux increases with increase in the area of the loop.

Magnetic flux through a loop is directly proportional to the number of magnetic lines passes through the loop area and the component of magnetic field normal to the loop.

Write the expression for the magnetic flux

Φ=B⋅A

Here, Φ is the magnetic flux, B is the normal component of the magnetic field and A is the area of the loop.

Conclusion:

Thus, the flux through a loop is the product of its area and the normal component of the magnetic field.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 20, Problem 1RQ

To determine

The expression for the flux through a loop.

Expert Solution & Answer

Answer to Problem 1RQ

The flux through a loop is the product of its area and the normal component of the magnetic field.

Explanation of Solution

The magnetic flux is the number of magnetic field lines that passing the area inside the loop. Therefore, the magnetic flux increases with increase in the area of the loop.

Magnetic flux through a loop is directly proportional to the number of magnetic lines passes through the loop area and the component of magnetic field normal to the loop.

Write the expression for the magnetic flux

Φ=B⋅A

Here, Φ is the magnetic flux, B is the normal component of the magnetic field and A is the area of the loop.

Conclusion:

Thus, the flux through a loop is the product of its area and the normal component of the magnetic field.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 20, Problem 1RQ

To determine

The expression for the flux through a loop.

Expert Solution & Answer

Answer to Problem 1RQ

The flux through a loop is the product of its area and the normal component of the magnetic field.

Explanation of Solution

The magnetic flux is the number of magnetic field lines that passing the area inside the loop. Therefore, the magnetic flux increases with increase in the area of the loop.

Magnetic flux through a loop is directly proportional to the number of magnetic lines passes through the loop area and the component of magnetic field normal to the loop.

Write the expression for the magnetic flux

Φ=B⋅A

Here, Φ is the magnetic flux, B is the normal component of the magnetic field and A is the area of the loop.

Conclusion:

Thus, the flux through a loop is the product of its area and the normal component of the magnetic field.

Answer 6

Chapter 20, Problem 1RQ

To determine

The expression for the flux through a loop.

Expert Solution & Answer

Answer to Problem 1RQ

The flux through a loop is the product of its area and the normal component of the magnetic field.

Explanation of Solution

The magnetic flux is the number of magnetic field lines that passing the area inside the loop. Therefore, the magnetic flux increases with increase in the area of the loop.

Magnetic flux through a loop is directly proportional to the number of magnetic lines passes through the loop area and the component of magnetic field normal to the loop.

Write the expression for the magnetic flux

Φ=B⋅A

Here, Φ is the magnetic flux, B is the normal component of the magnetic field and A is the area of the loop.

Conclusion:

Thus, the flux through a loop is the product of its area and the normal component of the magnetic field.

Answer 7

Chapter 20, Problem 1RQ

To determine

The expression for the flux through a loop.

Answer 8

Expert Solution & Answer

Answer to Problem 1RQ

The flux through a loop is the product of its area and the normal component of the magnetic field.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

The magnetic flux is the number of magnetic field lines that passing the area inside the loop. Therefore, the magnetic flux increases with increase in the area of the loop.

Magnetic flux through a loop is directly proportional to the number of magnetic lines passes through the loop area and the component of magnetic field normal to the loop.

Write the expression for the magnetic flux

Φ=B⋅A

Here, Φ is the magnetic flux, B is the normal component of the magnetic field and A is the area of the loop.

Conclusion:

Thus, the flux through a loop is the product of its area and the normal component of the magnetic field.