What magnetic field strength will levitate the 2.0 g wire in the figure(Figure 1)?

You may want to review (Pages 821 822)

For help with math skills, you may want to review:

Rearrangement of Equations Involving Multiplication and Division

For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of The workings of a speaker.

Part A

What magnetic field strength will levitate the 2.0 g wire in the figure(Figure 1)? Assume that I = 1.6 A and d = 11 cm.

Express your answer to two significant figures and include the appropriate units

Part B

What is the direction of the magnetic field?

Solutions

Expert Solution

Answer:

Given, mass of the wire m = 2.0 g, current I = 1.6 A and d = 11 cm

(a) Magnetic force on a wire is F = IL x B.

In order to levitate the given force, the magnetic force has to be in the upward direction. Using Fleming's left hand rule, magnetic field B must have a component out of the page. The component of B parallel to the does not affect the force and is not determined. If the component of B which is perpendicular to the current, then B will point straight out of the page with a magnitude

B = F/IL = mg /IL = (0.002 kg) (9.8 m/s²) / (1.6 A) (0.11 m) = 0.111 T.

(b) Out of the screen.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

1 a) What is the approximate electric field strength and magnetic field strength of the electromagnetic...

1 a) What is the approximate electric field strength and magnetic field strength of the electromagnetic waves radiated by a 60-W lightbulb, as measured 5.5 m from the bulb? You can assume that the bulb is 100% efficient in converting electrical energy to light energy. b.) Incandescent light bulbs are very inefficient. Find the electric field strength and magnetic field strength assuming 5% efficiency. Please show all work, thank you!

What is the magnetic field at the center of the loop in the figure? (figure 1)

Figure 1 What is the magnetic field at the center of the loop in the figure? (Figure 1)

A uniform magnetic field of strength .0050 T is directed out of the page. A wire...

A uniform magnetic field of strength .0050 T is directed out of the page. A wire oriented vertically in the field carries a current of 1.20 A up. a) Sketch the situation. b) Indicate the direction of the force on the wire. c) Find the magnitude of the force/length on the wire.

The figure below displays a circular loop of nickel wire in a uniform magnetic field pointing...

The figure below displays a circular loop of nickel wire in a uniform magnetic field pointing into the page. The radius of the loop is 10.0 cm and the magnitude of the field is 0.160 T. You grab points A and B and pull them in opposite directions, stretching the loop until its area is nearly zero, taking a time of 0.210 s to do so. What is the magnitude of the average induced emf in the loop (in mV)...

A loop of wire has a radius of 2.0 cm and is in a constant magnetic...

A loop of wire has a radius of 2.0 cm and is in a constant magnetic field of 0.88 T directed into the plane of the paper. If the loop collapses so the radius of the circle shrinks to zero in a time of 0.35 s, a) find the magnitude of the average induced emf in the loop. b) If the loop is part of a larger circuit, in which direction does the induced current flow as the loop closes.

what is the strength of the electric field at the position indicated by the dot in the figure?

what is the strength of the electric field at the position indicated by the dot in the figure?what is the direction of the electric field at the position indicated by the dot in the figure? specify the direction as an angle below horizontal

A flat coil of wire is placed in a uniform magnetic field that is in the...

A flat coil of wire is placed in a uniform magnetic field that is in the y direction. (i) The magnetic flux through the coil is maximum if the coil is (a) in the xy plane(b) in either the xy or the yz plane (c) in the xz plane (d) in any orientation, because it is constant. (ii) For what orientation is the flux zero? Choose from the same possibilities.

Create a diagram of a current-carrying wire in a magnetic field. Draw the field lines and...

Create a diagram of a current-carrying wire in a magnetic field. Draw the field lines and explain how the direction of force acting on the wire is determined. #- Create a sketch of the experiment Michael Faraday performed, label all the parts, and write a brief explanation of how motion is created. thank you

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 coil of wire containing N turns is in an external magnetic field that is at...

A coil of wire containing N turns is in an external magnetic field that is at a LaTeX: 45^o45 o angle from the plane of the coil and is steadily changing. Under these circumstances, an emf V is induced in the coil. If both the rate of change of the magnetic field and the number of turns in the coil are now doubled (but nothing else changes), what will be the induced emf in the coil?

Subjects