A horizontal, rectangular loop of wire, initially in a B-field free region, is pulled from left...

A horizontal, rectangular loop of wire, initially in a B-field free region, is pulled from left to right with constant velocity v into an extended region of uniform upward directed magnetic field.

a) What, if any, is the direction of the induced current as the loop is pulled into the uniform field region?

b) What, if any, is the direction of the magnetic force on the loop as it is pulled into the uniform field region?

c) What, if any, is the direction of the induced current when the loop is wholly contained in the uniform field region?

d) What if any is the direction of the magnetic force on the loop when it is wholly contained in the uniform field region?

e) What, if any, is the direction of the induced current as the loop is pulled out of the uniform field region?

f) What, if any, is the direction of the magnetic force on the loop as it exits the uniform field region?

Solutions

Expert Solution

1) a clockwise directed current is induced as the loop is pulled into the the uniform magnetic field region. It is so because according to the lenz law the current should be induced in such a way that it opposes the the change of flux through the loop which is getting increased in the "out of the plane" direction

2) the magnetic force on the loop as it is pulled into the uniform field region would be towards the left because the current is induced so as to oppose the change in the flux and hence the induced current makes sure that the force is against the motion that is towards the left.

3) when the loop is wholly contained in the uniform field region then there is no induced current because in such a case there is no change of flux through the loop and hence no current is induced.

4) since no current is induced therefore no magnetic force is being experienced by the loop in this region.

5) now when the loop is pulled out the field region then counterclockwise current is induced because it has two oppose the change of magnetic flux through the loop which is getting decreased in the out of the plane direction.

6) the force experienced in this case is towards the left because the current is induced in such a way so as to a oppose the change of magnetic flux and this is possible if the slope experiences a force towards the left and ultimately retards its motion.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A vertically oriented square loop of copper wire falls from rest in a region in which the field B is horizontal uniform

A vertically oriented square loop of copper wire falls from rest in a region in which the field B is horizontal uniform, and perpendicular to the plane of the loop, into a field-free region, see (Figure 1). The side length of the loop is s and the wire diameter is d. The resistivity of copper is pr and the density of copper is pm If the loop reaches its terminal speed while its upper segment is still in the magnetic...

A rectangular loop of wire is immersed in a non-uniform and time-varying magnetic field. The magnitude...

A rectangular loop of wire is immersed in a non-uniform and time-varying magnetic field. The magnitude of the field is given by B = 4t2x2 , where t is the time in seconds and x is one dimension of the loop. The direction of the field is always perpendicular to the plane of the loop. The loop extends from x = 0 to x = 3.0 m and from y = 0 to y = 2.0 m. What is the...

A loop of wire is horizontal. A bar magnet is pushed toward the loop from below,...

A loop of wire is horizontal. A bar magnet is pushed toward the loop from below, along the axis of the loop, as shown in Figure Q25.15. a. In what direction is the current in the loop? Explain b. Is there a magnetic force on the loop? If so, in which direction? Explain c. Is there a magnetic for on the magnet? If so, in which direction?

The plane of a rectangular loop of wire with a width of 5.0 cm and a...

The plane of a rectangular loop of wire with a width of 5.0 cm and a height of 8.0 cm is parallel to a magnetic field of magnitude 0.22 T . The loop carries a current of 6.7 A . What torque acts on the loop? What is the magnetic moment of the loop? What is the maximum torque that can be obtained with the same total length of wire carrying the same current in this magnetic field?

A current I flows in a plane rectangular current loop with height a and horizontal sides b.

A current I flows in a plane rectangular current loop with height a and horizontal sides b. The loop is placed into a uniform magnetic field \(\vec{B}\) in such a way that the sides of length a are perpendicular to \(\vec{B}\), and there is an angle θ between the sides of length b and \(\vec{B}\).Calculate τ, the magnitude of the torque about the vertical axis of the current loop due to the interaction of the current through the loop with the magnetic field.Express the...

A loop of wire carries a current. The resulting magnetic field __________. points toward the loop...

A loop of wire carries a current. The resulting magnetic field __________. points toward the loop at all points points away from the loop at all points is similar to that of a bar magnet in the plane of the loop is similar to that of a bar magnet perpendicular to the plane of the loop

The magnetic field perpendicular to a circular wire loop 7.7 cmcm in diameter is changed from...

The magnetic field perpendicular to a circular wire loop 7.7 cmcm in diameter is changed from +0.44 TT to -0.27 TT in 150 msms , where + means the field points away from an observer and - toward the observer. Calculate the induced emf.

A long rectangular conducting loop of width 30 cm is partially in a region of a...

A long rectangular conducting loop of width 30 cm is partially in a region of a horizontal magnetic field of 1.74 T perpendicular to the loop, as shown in the figure below. The mass of the loop is 14 g, and its resistance is 0.17 . If the loop is released, what is its terminal velocity? Assume that the top of the loop stays in the magnetic field. (Hint: The terminal velocity occurs when the magnetic force on the induced...

A single loop of wire with an area of 0.0900m2 is in a uniform magnetic field...

A single loop of wire with an area of 0.0900m2 is in a uniform magnetic field that has an initial value of 3.8 T, is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.190 T/s. (a) What emf is induced in this loop? (b) If the loop has a resistance of 0.600O, find the current induced in the loop.

A horizontal wire has one end fastened to a wall while the other end is pulled...

A horizontal wire has one end fastened to a wall while the other end is pulled with a force of 200 N. The wire has a length of 5 m, a volume mass density of 7,400 kg/m3 , and a resistivity of 6.9e-07 Ωm. A transverse pulse takes 0.2 s to travel the length of the wire. Calculate the electrical power dissipated by the wire while a current of 2 A is passing through the wire

Subjects