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repository:magnetic_field_deflection [2020/09/08 18:36] porcaro1 created |
repository:magnetic_field_deflection [2021/04/07 23:06] porcaro1 |
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| ====Activity==== | ====Activity==== | ||
| ===Handout=== | ===Handout=== | ||
| - | ** Magnetic Field Deflection ** | ||
| + | {{ :repository:magnetic_field_deflection.png?nolink&600|}} | ||
| + | |||
| + | ** Magnetic Field Deflection ** | ||
| + | |||
| In this activity you will be simulating the effect of a charged particle moving perpendicularly through a uniform magnetic field. The starter code assumes a positive particle moving to the right (+x direction) moving through a magnetic field oriented out of the screen (+z direction). Load the [[https://www.glowscript.org/#/user/plough/folder/StarterCode/program/MagFieldDeflectionStart | provided code]] into your GlowScript workspace. | In this activity you will be simulating the effect of a charged particle moving perpendicularly through a uniform magnetic field. The starter code assumes a positive particle moving to the right (+x direction) moving through a magnetic field oriented out of the screen (+z direction). Load the [[https://www.glowscript.org/#/user/plough/folder/StarterCode/program/MagFieldDeflectionStart | provided code]] into your GlowScript workspace. | ||
| Line 37: | Line 40: | ||
| - What effect does the influence of the magnetic field have on the particle velocity? How can you check this with the program code? | - What effect does the influence of the magnetic field have on the particle velocity? How can you check this with the program code? | ||
| ===Code=== | ===Code=== | ||
| - | [[https://www.glowscript.org/#/user/plough/folder/StarterCode/program/MagFieldDeflectionStart | Link]] | + | [[https://www.glowscript.org/#/user/porcaro1/folder/RepositoryPrograms/program/MagneticFieldDeflection-Incomplete | Link]] |
| <code Python [enable_line_numbers="true"]> | <code Python [enable_line_numbers="true"]> | ||
| GlowScript 2.8 VPython | GlowScript 2.8 VPython | ||
| Line 47: | Line 50: | ||
| field = box(pos=vector(0,0,0), size=vector(200,200,10), axis=vector(1,0,0), color=color.white, opacity=0.3) | field = box(pos=vector(0,0,0), size=vector(200,200,10), axis=vector(1,0,0), color=color.white, opacity=0.3) | ||
| charge = sphere(pos=vector(-150,90,0), radius=2, color=color.red, make_trail=True) | charge = sphere(pos=vector(-150,90,0), radius=2, color=color.red, make_trail=True) | ||
| + | qval = 2E-4 | ||
| vcharge = vector(5,0,0) | vcharge = vector(5,0,0) | ||
| + | mass = 0.1 | ||
| + | mom = mass*vcharge | ||
| + | B = vector (0,0,30.0) | ||
| dt = .1 | dt = .1 | ||
| Line 59: | Line 65: | ||
| ====Answer Key==== | ====Answer Key==== | ||
| ===Handout=== | ===Handout=== | ||
| + | {{ :repository:magfielddeflect.png?nolink&600|}} | ||
| + | - Increasing the initial speed of the charged particle results in a curved path with a larger radius, | ||
| + | - Increasing the magnitude of the charge of the particle results in a curved path with a smaller radius, | ||
| + | - Increasing the mass of the charged particle results in a curved path with a larger radius, | ||
| + | - Increasing the strength of the magnetic field results in a curved path with a smaller radius | ||
| + | - The relationship between the radius of curvature and: | ||
| + | - speed: positive | ||
| + | - charge: negative (inverse) | ||
| + | - mass: positive | ||
| + | - field strength: negative (inverse) | ||
| + | - If you make the charge of the particle negative, than the radius of the path stay the same, but the direction changes; instead of curving downward (in the -y direction) the particle's path curves upwards (in the +y direction) | ||
| + | - Generally, the stronger the magnetic field, the higher the magnitude of the particle velocity. You can check this by using the "print" command to display the magnitude of the particle's velocity at the end of the program (line 29) | ||
| ===Code=== | ===Code=== | ||
| - | <code Python [enable_line_numbers="true", highlight_lines_extra=""]> | + | [[https://www.glowscript.org/#/user/porcaro1/folder/RepositoryPrograms/program/MagneticFieldDeflection-Solution | Link]] |
| - | </code> | + | <code Python [enable_line_numbers="true", highlight_lines_extra="18,19,20,21,22,23,24,25,26,27,29,31"]> |
| + | GlowScript 2.8 VPython | ||
| + | |||
| + | scene.width = 824 | ||
| + | scene.height = 568 | ||
| + | |||
| + | #consider the charge to be positive and the magnetic field to be in the positive z direction--out of the screen. | ||
| + | field = box(pos=vector(0,0,0), size=vector(200,200,10), axis=vector(1,0,0), color=color.white, opacity=0.3) | ||
| + | charge = sphere(pos=vector(-150,90,0), radius=2, color=color.red, make_trail=True) | ||
| + | |||
| + | qval = 2E-4 | ||
| + | vcharge = vector(5,0,0) | ||
| + | mass = 0.1 | ||
| + | mom = mass*vcharge | ||
| + | B = vector (0,0,30.0) | ||
| + | |||
| + | dt = .1 | ||
| + | |||
| + | while charge.pos.y > -150 and charge.pos.x >= -150: | ||
| + | rate(120) | ||
| + | if charge.pos.x < -100: | ||
| + | charge.pos = charge.pos + vcharge*dt | ||
| + | else: | ||
| + | if charge.pos.x < 100 and charge.pos.y > -100: | ||
| + | force = qval*cross(vcharge,B) | ||
| + | mom = mom + force*dt | ||
| + | charge.pos = charge.pos +mom/mass*dt | ||
| + | vcharge = mom/mass | ||
| + | else: | ||
| + | charge.pos = charge.pos + vcharge*dt | ||
| + | |||
| + | print(mag(vcharge))</code> | ||
| + | |||
| ---- | ---- | ||
| ====See Also==== | ====See Also==== | ||
| - | * | + | *[[forces_on_current_carrying_wire | Forces on Current Carrying Wire]] |
| | | ||