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Chapter 9: Problem 26

Instead of a meter, a device (such as a battery) is attached to the coil that can generate a current. When the device is turned on the bar magnet will (A) remain at rest. (B) be attracted to the coil. (C) be repelled from the coil. (D) shoot through the coil. (E) (B) or (C) depending on which way the current is flowing in the coil

Short Answer

Expert verified
Answer: The motion of the bar magnet will either be attracted to the coil (B) or repelled from the coil (C), depending on which way the current is flowing in the coil.

Step by step solution

01

Understand the interaction between a magnetic field and a current-carrying coil

When a current flows through a coil, it generates a magnetic field around it. The interaction between the magnetic field of the current-carrying coil and the magnetic field of the bar magnet will determine the behavior (motion) of the bar magnet.
02

Apply the right-hand rule to determine the polarity of the coil's magnetic field

Using the right-hand rule, we can determine the magnetic polarity of the current-carrying coil. To do this, grip the coil with your right hand such that your fingers point in the direction of the current flow; your thumb will point in the direction of the magnetic field (North pole). If the current direction is reversed, the magnetic field will also reverse its direction.
03

Analyze the interaction between the magnetic fields of the bar magnet and the coil

Depending on the polarity of the coil's magnetic field, the bar magnet will either be attracted (North pole of the magnet toward the South pole of the coil) or repelled (North pole of the magnet toward the North pole of the coil).
04

Determine the motion of the bar magnet

To answer this exercise, let's analyze the provided options: (A) Since the coil generates a magnetic field, it will interact with the magnetic field of the bar magnet, and thus it is unlikely to remain at rest. (B) If the coil's magnetic field polarity is such that the North pole of the bar magnet is attracted to the South pole of the coil, the bar magnet will be attracted to the coil. (C) If the coil's magnetic field polarity is such that the North pole of the bar magnet is facing the North pole of the coil, the bar magnet will be repelled from the coil. (D) The bar magnet will not "shoot through" the coil, as the magnetic field interaction will not result in such sudden and violent motion. (E) Given that the motion of the bar magnet depends on the direction of the current flow in the coil, the response can be either (B) or (C) depending on the current direction. Hence, the correct answer is (E) (B) or (C) depending on which way the current is flowing in the coil.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Current-Carrying Coil
Understanding how a current-carrying coil behaves is essential for students tackling physics challenges, especially those related to electromagnetism. When an electric current passes through a wire loop or coil, it produces a magnetic field around it. This is a fundamental concept known as the electromagnetism principle. The beauty of this arrangement is that it allows us to convert electrical energy into magnetic energy, and under the right circumstances, this magnetic field can be harnessed for practical applications like in motors, generators, and electromagnets.

The strength of the magnetic field produced by a current-carrying coil depends on several factors - the amount of current flowing through the coil, the number of turns in the coil, and the presence of a core material within the coil such as iron which can amplify the magnetic effect. Understanding these parameters is crucial when trying to predict the magnetic field's direction and intensity.
Magnetic Field Interaction
Magnetic field interaction is the tug of war where invisible forces come into play between a current-carrying coil and another magnetic field such as that of a bar magnet. This is a crucial concept for any student trying to grasp how magnets work in tandem with electric currents.

When two magnetic fields come into the vicinity of each other, they influence each other's behaviors. If the poles of the magnetic fields are opposite (one North and one South), they attract each other; if the poles are the same (both North or both South), they repel each other. It's important to remember that the magnetic field created by the coil isn't static. It can be manipulated based on the current's direction through the coil, leading to different types of interactions. This can result in motion, which is why in some applications, magnetic field interaction is used to induce movement in objects, much like what is seen in our exercise with the bar magnet and coil.
Right-Hand Rule
The right-hand rule is a simple yet powerful tool used to determine the direction of a magnetic field in relation to the flow of electric current. It’s vital for students to master this rule, as it can be applied in various contexts, such as understanding the operation of electric motors or generators.

To use the right-hand rule, a student should hold their right hand with the thumb and fingers perpendicular to each other. If you point the fingers in the direction of the current flowing through a straight wire or the turns of a coil, the thumb gives the direction of the magnetic field lines that curl around the wire or the coil. This rule is indispensable when predicting the behavior of the magnet in the exercise. By applying the right-hand rule, students can determine the coil's magnetic polarity and thus predict whether a nearby magnet will be attracted or repelled by the coil.

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Most popular questions from this chapter

The Millikan oil-drop experiment was the first experiment that attempted to determine the charge on the electron. Today students perform modern versions of the experiment in various ways, usually involving small latex spheres. The spheres are injected between two conducting plates held at a potential difference \(V\). Assume that the plates themselves are contained in a vacuum chamber. The spheres are of identical mass but may carry different and unknown amounts of charge. The voltage is adjusted until a selected sphere rises a constant velocity and the calculated charge on the sphere is recorded. This procedure is repeated many times for many different spheres. Eventually a graph of the results is produced: a) Write down the condition that the spheres rise with constant velocity as a function of voltage and charge. b) What shape should the theoretical curve of the charge versus the voltage be? c) How might you physically account for the lack of data between \(1000 \mathrm{~V}\) and \(2000 \mathrm{~V}\) ? d) If the distance between the plates is \(5 \mathrm{~cm}\), what is the mass of the latex spheres?

A circular loop rotates around a horizontal axis coming out of the page (side view shown, below). The loop is rotating in a uniform \(B\)-field, pointed downward. For every two full rotations, how often does the induced current change direction? (A) Twice (B) Four times (C) Eight times (D) Twelve time (E) Sixteen times

Two long, parallel wires separated by a distance \(r\) carry equal currents \(I\) in opposite directions, as shown. The direction of the field caused by the top wire at the position of the bottom wire and the direction of the force exerted by the top wire on the bottom wire are (A) \(B\) into the page; \(F\) down (B) \(B\) up; \(F\) into the page (C) \(B\) into the page; \(F\) up (D) \(B\) out of the page; \(F\) down (E) \(B\) down; \(F\) out of the page

A wire carries a current of \(I=10 \mathrm{~A}\) into the page. With a magnetic field probe, a student measures the \(B\)-field at five points and notes down the results: \((1,2.2) ;(2,0.85) ;(5,0.35) ;(8,0.31) ;(10,0.11)\). The first number in each pair is the distance to the right of the wire in \(\mathrm{cm}\) and the second number is the \(B\)-field in units of \(10^{-4} \mathrm{~T}\). a) Plot the data, then plot the expected curve on the same graph. b) What would you say is the average error of the measurements? c) After you have plotted the data, someone reports that the earth's \(B\)-field at this location is \(0.5\) gauss, pointing to the top of the page. Replot the corrected \(B\)-field. d) What percentage error does the earth's field introduce to the measurements as a function of \(r\) ? e) Would you say the original results were trustworthy?

Until recently, TV sets consisted of what was called a cathode-ray tube. Electrons were boiled off a light bulb filament and passed through plates that deflected the particles; the electron beam went on to strike the TV screen itself and lit up a pixel of phosphor. The beam could be deflected both up and down and sideways (only one direction shown). By deflecting the electron beam and scanning it across the screen a picture was built up. Consider the simplified TV below. An electron beam is shot along the centerline between the two deflector plates. The top plate is held by a power supply (not shown) at a voltage \(V=\) \(+1000\) volts above the bottom plate. The separation between the plates is \(d=4 \mathrm{~cm}\). The length of the plates is \(\ell=8 \mathrm{~cm}\). The distance \(L\) from the end of the deflector plate to the TV screen is \(30 \mathrm{~cm}\). The electrons enter the region between the deflector plates with a velocity \(v=4 \times 10^7 \mathrm{~m} / \mathrm{s}\). a) In which direction is the electric field between the deflector plates? b) In which direction are the electrons deflected? c) What is the force on an electron? (Neglect gravity.) d) What is the acceleration on the electron? e) What is the total deflection of the electron as it hits the TV screen? f) What size magnetic field and in what direction would you need to place between the deflector plates in order to prevent the electrons from being deflected?
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