Question

In: Physics

A piece of insulated wire is shaped into a figure eight as shown in the figure...

A piece of insulated wire is shaped into a figure eight as shown in the figure below. For simplicity, model the two halves of the figure eight as circles. The radius of the upper circle is 4.00 cm and that of the lower circle is 8.00 cm. The wire has a uniform resistance per unit length of 7.00 Ω/m. A uniform magnetic field is applied perpendicular to the plane of the two circles, in the direction shown. The magnetic field is increasing at a constant rate of 1.60 T/s.

Expert Solution

Resistance per unit length is

Rate of increase in magnetic field

Radius of upper circle

Radius of lower circle

Resistance of the wire is

Flux through the wire is

For lower circle

For upper circle

Induced EMF Induced current is

The magnetic field is increasing and is into the page, By Lenz's law the direction of current opposes the changing magnetic field that produced it. So for the larger circle direction of induced current is counter clockwise and so for the smaller upper loop its direction is clockwise.

Direction of induced current is counter clockwise in lower loop , and clockwise in upper loop.

genius_generous answered 2 years ago

A metal wire is resting on a U-shaped conducting rail, as shown in (Figure 1) ....

A metal wire is resting on a U-shaped conducting rail, as shown in (Figure 1) . The rail is fixed in position, but the wire is free to move. A) If the magnetic field is increasing in strength, which way does the wire move? Select the correct answer and explanation. B) If the magnetic field is decreasing in strength, which way does the wire move? Select the correct answer and explanation.

The current in the wire shown in (Figure 1) is increasing

The current in the wire shown in (Figure 1) is increasing. Part A What is the direction of the induced current in loop A? clockwise counterclockwise No current is induced in this loop. Part B What is the direction of the induced current in loop B? clockwise counterclockwise No current is induced in this loop.

An insulated tank is divided into two parts by a partition as shown in the figure....

An insulated tank is divided into two parts by a partition as shown in the figure. One part of the tank contains 2.5 kg of compressed liquid water at 60°C and 600 kPa while the other part is evacuated. The partition is now removed, and the water expands to fill the entire tank. Determine the final temperature of the water and the volume of the tank for a final pressure of 3 kPa. (Round the final temperature to two decimal...

One hundred turns of a thin insulated wire are tightly wrapped around a cardboard ring-shaped core,...

One hundred turns of a thin insulated wire are tightly wrapped around a cardboard ring-shaped core, thereby forming an essentially flat coil (with negligible length) with a diameter of 20.0 cm. a) What current through the coil would produce a B-field at its center of 200 uT? b) That coil of wire is lying flat on this page that has a magnetic field, directed out of the page, increasing by 0.24 T every 12.0 s. Determine the magnitude of the...

The right half of the square loop of wire shown in Figure P24.37

The right half of the square loop of wire shown in Figure P24.37 is in a 0.85 T magnetic field directed into the page. The current in the loop is 1.3 A in a clockwise direction. What is the magnitude of the force on the loop, and in which direction does it act?

The right half of the square loop of wire shown in (Figure 1) is in a...

The right half of the square loop of wire shown in (Figure 1) is in a 0.25 T magnetic field directed into the page. The current in the loop is 1.5 A in a clockwise direction. Part A What is the magnitude of the force on the loop? Express your answer with the appropriate units. Part B In which direction does this force act? to the left downward to the right upward

As shown in the figure below, a bullet is fired at and passes through a piece...

As shown in the figure below, a bullet is fired at and passes through a piece of target paper suspended by a massless string. The bullet has a mass m, a speed v before the collision with the target, and a speed (0.496)v after passing through the target. The collision is inelastic and during the collision, the amount of kinetic energy lost by the bullet and paper is equal to [(0.263)Kb BC] , that is, 0.263 of the kinetic energy...

An aluminum wire consists of the three segments shown in the following figure. The current in...

An aluminum wire consists of the three segments shown in the following figure. The current in the top segment is 13A Part B For each of these three segments, find the current density J. Part C For each of these three segments, find the electric field E. Part D For each of these three segments, find the drift velocity vd. Part E For each of these three segments, find the electron current i.

A long, straight wire carries a current of 20.0 A, as shown in Figure 27-63. A...

A long, straight wire carries a current of 20.0 A, as shown in Figure 27-63. A rectangular coil that has two sides parallel to the straight wire has sides that are 5.00 cm long and 10.0 cm long. The side nearest to the wire is 2.00 cm from the wire. The coil carries a current of 5.00 A. (a) Find the force on each segment of the rectangular coil due to the current in the long, straight wire. What is...

Two concentric loops of wire are carrying currents in opposite directions as shown in (Figure 2)....

Two concentric loops of wire are carrying currents in opposite directions as shown in (Figure 2). Describe the net force and the torque on either of the current loops. There is a net torque on each loop that causes them to rotate in the same direction. There is a net force on each loop that causes them to repel each other. There is a net torque on each loop that causes them to rotate in opposite directions. There is no net force or torque...