Questions
What is the direction of the induced current in the wire shown in the picture?

What is the direction of the induced current in the wire shown in the picture?

A. clockwise
B. counterclockwise

 

In: Physics

Find , the electromotive force (EMF) around a loop that is at distance from the axis,

a) Find \(\mathcal{E}(R, t)\), the electromotive force (EMF) around a loop that is at distance \(R\) from the \(z\) axis, where \(R\) is restricted to the region outside the iron rod as shown. Take the direction shown in the figure as positive.

Express \(\mathcal{E}(R, t)\) in terms of \(A ,B_{0}, B_{1}, R,{\text {,and any needed constants such as }} \epsilon_{0}, \pi\), and \(\mu_{0}\)

b)

Due to the cylindrical symmetry of this problem, the induced electric field \(\vec{E}(R, t)\) can depend only on the distance \({n}\) from the \(z\) axis, where \(R\) is restricted to the region outside the iron rod. Find this field.

Express \(\vec{E}(R, t)\) in terms of quantities given in the introduction(and constants), using the unit vectors in the cylindrical coordinate system,\(\hat{\theta} ,\hat{r},\) and \(\hat{z}\)

In: Physics

The resistance of the loop in the figure is 0.30 Ω.

The resistance of the loop in the figure is 0.30 Ω.

a) Is the magnetic field strength increasing or decreasing?

b) At what rate (T/s)?

In: Physics

The loop in the figure below is being pushed into the 0.20 T magnetic field at 50 m/s.

The loop in the figure below is being pushed into the 0.20 T magnetic field at 50 m/s. The resistance of the loop is 0.10 , and its width d = 5.4 cm. What are the direction and the magnitude of the current in the loop? (in units of A)

In: Physics

The metal equilateral triangle in the figure, 20 cm on each side, is halfway into a 0.1 T magnetic field.

The metal equilateral triangle in the figure, 20 cm on each side, is halfway into a 0.1 T magnetic field.

A) What is the magnetic flux through the triangle?

B) If the magnetic field strength decreases, what is the direction of the induced current in the triangle?

In: Computer Science

In a physics laboratory experiment, a coil with 230 turns enclosing an area of 12.1

In a physics laboratory experiment, a coil with 230 turns enclosing an area of 12.1 cm2 is rotated during the time interval 4.10×10-2 s from a position in which its plane is perpendicular to Earth's magnetic field to one in which its plane is parallel to the field. The magnitude of Earth's magnetic field at the lab location is 5.00×10-5 T.

Part A

What is the total magnitude of the magnetic flux ( ?initial) through the coil before it is rotated?

Express your answer numerically, in webers, to at least three significant figures.

Part B

What is the magnitude of the total magnetic flux ?final through the coil after it is rotated?

Express your answer numerically, in webers, to at least three significant figures.

Part C

What is the magnitude of the average emf induced in the coil?

Express your answer numerically (in volts) to at least three significant figures.

 

In: Physics

When a magnet is plunged into a coil at speed v, as shown in the figure, a voltage is induced in the coil and a current flows in the circuit.(Figure 1)

When a magnet is plunged into a coil at speed v, as shown in the figure, a voltage is induced in the coil and a current flows in the circuit. (Figure 1)

Part A

If the speed of the magnet is doubled, the induced voltage is ________.

a.) twice as great

b.) four times as great

c.) half as great

d.) unchanged

 

In: Computer Science

You hold a wire coil so that the plane of the coil is perpendicular to a magnetic field vector B.

You hold a wire coil so that the plane of the coil is perpendicular to a magnetic field vector B. Vector Bis kept constant but the coil is rotated so that the magnetic field, vector B , is now in the plane of the coil. How will the magnetic flux through the coil change as the rotation occurs?
Check all that apply.
The flux is unchanged because the magnitude of vector B is constant.
The flux increases because the angle between vector B and the coil's axis changes.
The flux decreases because the angle between vector B and the coil's axis changes.
The flux is unchanged because the area of the coil is unchanged.

 

In: Physics

A coil has Na turns enclosing an area of A.

A coil has \({N_{\mathrm{a}}}\) turns enclosing an area of \(A\). In a physics laboratory experiment, the coilis rotated during the

time interval \(\Delta t\) from a position in which theplane of each turn is perpendicular to Earth's magnetic field toone in which the plane of each turn is parallel to the field. Themagnitude of Earth's magnetic field at the

lab location is \(B\).

a.) What is the total magnitude \(\Phi_{\text {initial }}\) of the magneticflux through the coil before it is rotated?

b.)What is the magnitude \( \Phi_{\text {final }} \) of the total magneticflux through the coil after it is rotated?

c.)What is the magnitude of the average emf induced in the coil?

In: Physics

A closely wound rectangular coil of 80 turns has dimensions 25.0 cm by 40.0 cm.

A closely wound rectangular coil of 80 turns has dimensions 25.0 cm by 40.0 cm. The plane of the coil is rotated from a position in which it makes an angle of 37.0 degrees with a magnetic field of 1.10 T to a position perpendicular to the field. The rotation takes 0.0600 s. What is the average emf ε induced in the coil?

What is the magnitude of the average emf E induced as the coil is rotated?

E= ________ V

In: Physics

A rail gun uses electromagnetic forces to accelerate a projectile to very high velocities.

A rail gun uses electromagnetic forces to accelerate a projectile to very high velocities. The basic mechanism of acceleration is relatively simple and can be illustrated in the following example. A metal rod of mass 50.0 g and electrical resistance 0.300 \Omega rests on parallel horizontal rails that have negligible electric resistance. The rails are a distance L = 7.00 cm apart. The rails are also connected to a voltage source providing a voltage of V = 5.00 V.


The rod is placed in a vertical magnetic field. The rod begins to slide when the field reaches the value B = 0.210 T. Assume that the rod has a slightly flattened bottom so that it slides instead of rolling. Use 9.80 m/s^2 for the magnitude of the acceleration due to gravity.

Find mu_s, the coefficient of static friction between the rod and the rails.

In: Physics

An electron at point A in the figure has a speed of 1.42×10^6 m/s.

An electron at point A in the figure has a speed of 1.42×10∧6 m/s.

(a) Find the direction of the magnetic field that will cause the electron to follow the semicircular path from A to B.

(b) Find the magnitude of the magnetic field that will cause the electron to follow the semicircular path from A to B.

(c) Find the time required for the electron to move from A to B.

(d) Find the direction of the magnetic field, that would be needed if the particle were a proton instead of an electron?

(e) Find the magnitude of the magnetic field, that would be needed if the particle were a proton instead of an electron?

In: Physics

Percentage and Applications

A sum of Rs.6000 is borrowed at 10% pa compounded interest and paid back in three equal annual instalments.

What is the approximate amount of each instalment?

In: Math

Payback Period

A project has an initial cost of $500,000 whereas it has an expected annual cash flow of $75,000 each year for the next 10 years. The firm has the criteria of accepting the project if its payback period is 6 years or less. Based on the payback period, state whether the project would be accepted or not?

In: Finance

effective annual interest rate

You have received a loan from a bank with a quoted rate of 18 percent compounded monthly. What is the Effective annual interest rate of the loan?

In: Finance