Charged Particles in a magnetic field

Ranking Tasks (RT)

2B-RT1: Acceleration of charged particles in uniform magnetic field

2B-RT2: Force on charged particles in uniform magnetic field

Working Backward Tasks (WBT)

B2-WBT1: Charged particle in a magnetic field

B2-WBT2: Charged particle in a magnetic field

B2-WBT3: Charged particle in a magnetic field

B2-WBT3: Charged particle in a magnetic field

Conflicting Contentions Tasks (CCT)

B2-CCT1: Acceleration of a charged particle near a current-carrying wire

B2-CCT1: Force on a charged particle near a current-carrying wire

Whats Wrong, if anything, Tasks (WWT)

B2-WWT1a: Force on a charged particle moving along a current-carrying wire

B2-WWT1b: Force on a charged particle moving along a current-carrying wire

B2-WWT2: Comparison between charged particles moving in a uniform magnet field

Troubleshooting Tasks (TT)

B2-TT1a: Force on charged particle moving away from a current-carrying wire

B2-TT1b: Force on charged particle moving along a current-carrying wire

Linked Multiple Choice Tasks (LMCT)

2B-LMCT1a: Acceleration of a positively charged particle moving along a current-carrying wire

2B-LMCT1b: Acceleration of a positively charged particle moving away from a current-carrying wire

2B-LMCT2a: Acceleration of a positively charged particle moving parallel between two current-carrying wires

2B-LMCT2b: Force on a positively charged particle moving parallel between two current-carrying wires

Predict and Explain Tasks (PET)

B2-PET1a : Positively charged particle at rest near a current-carrying wire

B2-PET1b: Negatively charged particle at rest near a current-carrying wire

B2-PET1c: Positively charged particle moving away from a current-carrying wire

B2-PET1d Negatively charged particle moving away from a current-carrying wire

Meaningful, Meaningless Calculations Tasks (MMCT)

B2-M/MCT1: Positively charged particle moving away from a current-carrying wire

B2-M/MCT2: Negatively charged particle moving along a current-carrying wire

Concept Oriented Demonstrations Tasks (CODT)

B2-CODT1: Beam of charged particles moving near a current-carrying wire

Qualitative Reasoning Tasks (QRT)

B2-QRT1a: Acceleration of a positively charged particle moving along a current-carrying wire

B2-QRT1b: Acceleration of a positively charged particle moving away from a current-carrying wire

Bar Chart Tasks (BCT)

2B-BCT: Bar charts of the magnetic field near a current-carrying wire

Qualitative Reasoning Tasks (QRT)

2B-CRTa: Graph of the magnetic field along a current-carrying wire

2B-CRTb: Graph of the magnetic field away from a current-carrying wire

2B-CRTc: Graph of the magnetic field near a current-carrying wire

 


Charged Particles in a magnetic field

2B-RT1:Acceleration of charged particles in uniform magnetic field

The figures below show the circular paths of six charged particles that have been injected into six different but uniform magnetic fields. The particles have the same mass and they were all given the same initial speed before they entered the field. However, the charges on the particles and the radii of their paths vary.

Rank these situations from greatest to least on the basis of the strength (magnitude) of the acceleration that each charge is experiencing.

 

Greatest 1 ______ 2 ______ 3 ______ 4 ______ 5 ______ 6 ______ Least

Or, the acceleration is the same for all six situations. ______

Or, the ranking for the accelerations cannot be determined. ______

Please carefully explain your reasoning.

 

 

 

 

 How sure were you of your ranking? (circle one)

Guessed

Sure

Certain

1
2
3
4
5
6
7
8
9
10

 

 


2B-RT2:Force on charged particles in uniform magnetic field

The figures below show the circular paths of six charged particles that have been injected into six different but uniform magnetic fields. The particles have the same mass and they were all given the same initial speed before they entered the field. However, the charges on the particles and the radii of their paths vary.

Rank these situations from greatest to least on the basis of the strength (magnitude) of the force on each charge.

 

Greatest 1 ______ 2 ______ 3 ______ 4 ______ 5 ______ 6 ______ Least

Or, the force is the same for all six situations. ______

Or, the ranking for the forces cannot be determined. ______

Please carefully explain your reasoning.

 

 

 

 

 

 

  

 How sure were you of your ranking? (circle one)

Guessed

Sure

Certain
1
2
3
4
5
6
7
8
9
10

 


B2-WBT1: Charged particle in a magnetic field

Draw and describe a physical arrangement to which the equation below could apply.

   

 

 

 

 

 

 


B2-WBT2: Charged particle in a magnetic field

Draw and describe a physical arrangement to which the equation below could apply.

 

  

  

 

 

 

 


B2-WBT3:Charged particle in a magnetic field

Draw and describe a physical arrangement to which the equation below could apply.

 

  

 

 

 

 

 


B2-WBT3: Charged particle in a magnetic field

Draw and describe a physical arrangement to which the equation below could apply.

 

   

 

 

 


B2-CCT1: Acceleration of a charged particle near a current-carrying wire

Consider the following statements made by three students.

Student I: "When an electric charge moves near a long straight wire that is carrying a current, there is no acceleration if the charge is moving perpendicular to the wire."

 

Student II: "When an electric charge moves near a long straight wire that is carrying a current, there is an acceleration when the charge moves perpendicular or parallel to the velocity."

 

Student III: "When an electric charge moves near a long straight wire that is carrying a current, there is no acceleration if the charge is moving parallel to the wire."

Which, if any, of these three students do you believe is correct? Explain fully why you chose as you did.

 

 

 

 

 

 


B2-CCT1: Force on a charged particle near a current-carrying wire

Consider the following statements made by three students.

Student I: "When an electric charge moves near a long straight wire that is carrying a current, there is no force if the charge is moving perpendicular to the wire."

 

Student II: "When an electric charge moves near a long straight wire that is carrying a current, there is a force when the charge moves perpendicular or parallel to the velocity."

 

Student III: "When an electric charge moves near a long straight wire that is carrying a current, there is no force if the charge is moving parallel to the wire."

 

 Which, if any, of these three students do you believe is correct? Explain fully why you chose as you did.

   

 

 

 

 

 


B2-WWT1a: Force on a charged particle moving along a current-carrying wire

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located a distance of 1 cm from a long straight wire that is carrying a current of 8 amps. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s parallel to the wire.

 

 

"The force on the charged particle by the magnetic field is zero because the velocity is parallel to the current in the wire."

What, if anything, is wrong with the above statement about this situation? If something is wrong, explain the error and how to correct it. If the statement is legitimate as it stands explain why it is valid.

  

 

 

 


B2-WWT1b: Force on a charged particle moving along a current-carrying wire

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located a distance of 1 cm from a long straight wire that is carrying a current of 8 amps. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s parallel to the wire.

 

 

"The force on the charged particle by the magnetic field is initially toward the wire because the velocity is perpendicular to the magnetic field produced by the wire."

What, if anything, is wrong with the above statement about this situation? If something is wrong, explain the error and how to correct it. If the statement is legitimate as it stands explain why it is valid.

 

 

 

 

 

 


B2-WWT2: Comparison between charged particles moving in a uniform magnet field

What, if anything, is wrong with the following statement? If something is wrong, explain the error and how to correct it. If the statement is legitimate as it stands, explain why it is valid.

"Two particles that have the same mass and electric charge, enter the same uniform magnetic field traveling the same speed at far apart different locations so they do not effect each other. The radius of the circular path for these particles will be the same."

 


B2-TT1a: Force on charged particle moving away from a current-carrying wire

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located a distance of 1 cm from a long straight wire that is carrying a current of 8 amps. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s away from the wire.

 

 

There is at least one error in the statement below, identify the error(s) and explain how to correct it.

 

"The force on the charged particle by the magnetic field is zero because the velocity is parallel to the magnetic field produced by the wire."

 


B2-TT1b: Force on charged particle moving along a current-carrying wire

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located a distance of 1 cm from a long straight wire that is carrying a current of 8 amps. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s parallel to the wire.

 

 

 

There is at least one error in the statement below, identify the error(s) and explain how to correct it.

 

"The force on the charged particle by the magnetic field is zero because the velocity is parallel to the magnetic field produced by the wire."

 

 


2B-LMCT1a:Acceleration of a positively charged particle moving along a current-carrying wire

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located a distance of 1 cm from a long straight wire that is carrying a current of 8 amps. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s parallel to the wire.

 

Descriptions of a number of changes in this situation are presented below. How does the change affect, if it does, the initial acceleration of the charged particle?

The possible answers are:

A. this change would not affect the initial acceleration.

B. this change would increase the strength (magnitude) of the initial acceleration, but not affect its direction.

C. this change would decrease the strength the initial acceleration, but not affect its direction.

D. this change would alter the direction of the initial acceleration, but would not affect its strength .

E. this change would alter both the strength and direction of the initial acceleration.

 

Each change below refers to the original situation stated above:

 

 

The charge on the particle is doubled. _______

The mass of the particle is doubled. _______

The initial velocity of the particle is doubled. _______

The wire is moved farther away from the charged particle. _______

The direction of the current in the wire is reversed. _______

 

 

 

 


2B-LMCT1b:Acceleration of a positively charged particle moving away from a current-carrying wire

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located a distance of 1 cm from a long straight wire that is carrying a current of 8 amps. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s away from the wire.

 

Descriptions of a number of changes in this situation are presented below. How does the change affect, if it does, the initial acceleration of the charged particle?

The possible answers are:

A. this change would not affect the initial acceleration.

B. this change would increase the strength (magnitude) of the initial acceleration, but not affect its direction.

C. this change would decrease the strength the initial acceleration, but not affect its direction.

D. this change would alter the direction of the initial acceleration, but would not affect its strength .

E. this change would alter both the strength and direction of the initial acceleration.

 

Each change below refers to the original situation stated above:

 

The current in the wire is doubled. _______

The charge on the particle is doubled. _______

The mass of the particle is doubled. _______

The initial velocity of the particle is doubled. _______

The wire is moved farther away from the charged particle. _______

The direction of the current in the wire is reversed. _______

 

 

 

 


B2-PET1a: Positively charged particle at rest near a current-carrying wire

As shown in the figure below a particle with a net electric charge of +7 nC is initially located at rest a distance of 1 cm from a long straight wire carrying a current of 8 amps.

 

What will happen to the positively charged particle when it is released? Explain fully.

 

 

 

 


B2-PET1b: Negatively charged particle at rest near a current-carrying wire 

As shown in the figure below a particle with a net electric charge of - 7 nC is initially located at rest a distance of 1 cm from a long straight wire carrying a current of 8 amps.

 

What will happen to the negatively charged particle when it is released? Explain fully.

 

 

 

 

 

 

 

 


B2-PET1c: Positively charged particle moving away from a current-carrying wire

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located a distance of 1 cm from a long straight wire that is carrying a current of 8 amps.

 

What will happen to the charged particle when it is released moving at 3 m/s away from the wire as shown? Explain fully.

 

 

 

 


B2-PET1d: Negatively charged particle moving away from a current-carrying wire

 As shown in the figure below, a particle with a net electric charge of -7 nC is initially located at a distance of 1 cm from a long straight wire carrying a current of 8 amps.

 

What will happen to the charged particle when it is released moving at 3 m/s away from the wire as shown? Explain fully.

 

 

 

 


B2-M/MCT1: Positively charged particle moving away from a current-carrying wire

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located a distance of 1 cm from a long straight wire that is carrying a current of 8 amps. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s away from the wire.

Given below is a calculation for the magnetic field (magnitude) at this point

 

Is this calculation meaningful (i.e., it tells us something legitimate about this situation) or is it meaningless (i.e., the value calculated is either nonsense, or it tells us nothing legitimate about this situation)?

 

 

 


B2-M/MCT2: Negatively charged particle moving along a current-carrying wire

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located a distance of 1 cm from a long straight wire that is carrying a current of 8 amps. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s parallel to the wire.

Given below is a calculation for the magnetic field (magnitude) at this point

 

 

Is this calculation meaningful (i.e., it tells us something legitimate about this situation) or is it meaningless (i.e., the value calculated is either nonsense, or it tells us nothing legitimate about this situation)?

 

 


B2-CODT1: Beam of charged particles moving near a current-carrying wire

Set up a demonstration oscilloscope with the beam of the electrons coming out toward the class. Then demonstrate and discuss the effect on the beam by the North and South pole of a bar magnet. Then demonstrate and discuss the magnetic field around a wire that is carrying a current (use DC power supply and magna probes). Then hook up a rectangular wire that is to a DC power supply (don't turn it on) and align it perpendicular and parallel to the axis of the beam. Ask the students whether there will be any deflection in either orientation (or both orientations) when a DC current is supplied by the power supply.

 

 

 


B2-QRT1a: Acceleration of a positively charged particle moving along a current-carrying wire

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located a distance of 1 cm from a long straight wire that is carrying a current of 8 amps. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s parallel to the wire.

 

If we double the charge on the particle, what will happen to the initial acceleration?

If we change the charge on the particle to negative, what will happen to the initial acceleration?

If we double the initial distance away from the wire, what will happen to the initial acceleration?

If we double the mass of the particle, what will happen to the initial acceleration?

If we double the velocity of the particle, what will happen to the initial acceleration?

If we reduce the magnitude of the current, what will happen to the initial acceleration?

If we reverse the direction of the current, what will happen to the initial acceleration?

 

 

 

 


B2-QRT1b: Acceleration of a positively charged particle moving away from carrying-carrying wire

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located a distance of 1 cm from a long straight wire that is carrying a current of 8 amps. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s away from the wire.

If we double the charge on the particle, what will happen to the initial acceleration?

If we change the charge on the particle to negative, what will happen to the initial acceleration?

If we double the initial distance away from the wire, what will happen to the initial acceleration?

If we double the mass of the particle, what will happen to the initial acceleration?

If we double the velocity of the particle, what will happen to the initial acceleration?

If we reduce the magnitude of the current, what will happen to the initial acceleration?

If we reverse the direction of the current, what will happen to the initial acceleration?

 

 

 

 


2B-BCT:Bar charts of the magnetic field near a current-carrying wire

As shown in the figure below, a long straight wire is carrying a current. The magnetic field has a magnitude of 24 T at point a.

 

 

 

Draw a bar chart (and label the height of each column) of the magnitude of the magnetic field at the points a, b, c, and d at this initial current and then when the current is reduced to half its initial value.

 

 

Error! No index entries found.

 

Explain the reasoning behind your bar chart:

 

 

 

 


2B-CRTa:Graph of the magnetic field along a current-carrying wire

  

As shown in the figure below, a long straight wire is carrying a current.

 

Draw and label a graph of the magnitude of the magnetic field in the x-direction along the dotted line from a to b (as a dotted line on this graph) and also draw the magnitude of the magnetic field along the dashed line from c to d. Assume that the magnetic field has a magnitude of 24 T at point a.

 

 

Redraw this graph if the current is reduced to half its value.

 

 

 


2B-CRTb:Graph of the magnetic field away from a current-carrying wire

 

As shown in the figure below, a long straight wire is carrying a current.

 

Draw and label a graph of the magnitude of the magnetic field in the y-direction along the dotted line from a to c (as a dotted line on this graph) and also draw the magnitude of the magnetic field along the dashed line from b to d. Assume that the magnetic field has a magnitude of 24 T at point a.

 

Redraw this graph if the current is reduced to half its value.

 

 

 

 


2B-CRTc:Graph of the magnetic field near a current-carrying wire

As shown in the figure below, a long straight wire is carrying a current.

 

Draw and label a graph of the magnitude of the magnetic field along the dashed line path from a to b to c to d and back to a. Assume that the magnetic field has a magnitude of 24 T at point a.

 

 

Redraw this graph if the current is reduced to half its value.

 

 

 

 


2B-LMCT2a:Acceleration of a positively charged particle moving parallel between two current-carrying wires

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located midway between two long straight parallel wires that are each carrying a current of 8 amps at distance of 1 cm from each wire. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s parallel to the wires.

 

Descriptions of a number of changes in this situation are presented below. How does the change affect, if it does, the initial acceleration of the charged particle?

The possible answers are:

A. this change would not affect the initial acceleration.

B. this change would increase the strength (magnitude) of the initial acceleration, but not affect its direction.

C. this change would decrease the strength the initial acceleration, but not affect its direction.

D. this change would alter the direction of the initial acceleration, but would not affect its strength .

E. this change would alter both the strength and direction of the initial acceleration.

 

Each change below refers to the original situation stated above:

 

The current in both wires is doubled. _______

The direction of the current in the lower wire is reversed. _______

The charge on the particle is doubled. _______

The charge on the particle is changed to negative. _______

The mass of the particle is doubled. _______

The initial velocity of the particle is doubled. _______

The wires are both moved farther away from the charged particle. _______

The current in the lower wire changed to 4 A _______

The current in the lower wire changed to 4 A in the opposite direction. _______

The current in the lower wire changed to 4 A and the initial velocity is doubled. _______

The current in the lower wire changed to 4 A in the opposite direction and the initial velocity is doubled. _______

 

 

 


2B-LMCT2b:Force on a positively charged particle moving parallel between two current-carrying wires

As shown in the figure below, a particle with a net electric charge of +7 nC is initially located midway between two long straight parallel wires that are each carrying a current of 8 amps at distance of 1 cm from each wire. The charge has a mass of 6 x 10-6 kg and it is moving initially at 3 m/s parallel to the wires.

 

 

 

Descriptions of a number of changes in this situation are presented below. How does the change affect, if it does, the initial force on the charged particle?

The possible answers are:

A. this change would not affect the initial force on the charged particle.

B. this change would increase the strength (magnitude) of the initial force on the charged particle, but not affect its direction.

C. this change would decrease the strength the initial force on the charged particle, but not affect its direction.

D. this change would alter the direction of the initial force on the charged particle, but would not affect its strength .

E. this change would alter both the strength and direction of the initial force on the particle.

 

Each change below refers to the original situation stated above:

 

The current in both wires is doubled. _______

The direction of the current in the lower wire is reversed. _______

The charge on the particle is doubled. _______

The charge on the particle is changed to negative. _______

The mass of the particle is doubled. _______

The initial velocity of the particle is doubled. _______

The wires are both moved farther away from the charged particle. _______

The current in the lower wire changed to 4 A _______

The current in the lower wire changed to 4 A in the opposite direction. _______

The current in the lower wire changed to 4 A and the initial velocity is doubled. _______

The current in the lower wire changed to 4 A in the opposite direction and the initial velocity is doubled. _______