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repository:forces_on_current_carrying_wire [2021/01/18 21:41] porcaro1 |
repository:forces_on_current_carrying_wire [2021/04/07 23:02] (current) porcaro1 [See Also] |
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| *Understand the relationship of current direction and magnetic field direction in a current-carrying wire | *Understand the relationship of current direction and magnetic field direction in a current-carrying wire | ||
| * current and magnetic field in parallel wires | * current and magnetic field in parallel wires | ||
| - | * HS-PS2-4 Motion and Stability: Forces and Interactions (ADD IN LINK) | + | * Use mathematical representations of Coulomb's Law to describe the electrostatic forces between objects ([[https://www.nextgenscience.org/pe/hs-ps2-4-motion-and-stability-forces-and-interactions | HS-PS2-4]]) |
| ===Prior Knowledge Required=== | ===Prior Knowledge Required=== | ||
| *Right-Hand Rule | *Right-Hand Rule | ||
| *Magnetic force | *Magnetic force | ||
| + | *Biot-Savart Law | ||
| + | *Lorenz Force | ||
| ===Code Manipulation=== | ===Code Manipulation=== | ||
| * Modify existing code | * Modify existing code | ||
| Line 17: | Line 19: | ||
| ** ACME Corporation Needs You! ** | ** ACME Corporation Needs You! ** | ||
| - | {{ :repository:acme.png?nolink&600 |}} | + | {{:repository:acme.png?nolink&600|}} |
| - | You have been hired by the Acme Corporation to develop a new detector for locating Road Runners (Accelleratti incredibus). A key portion of the detector has two wires that must run past each other for the length of the apparatus. However, it is important that they do not touch as that would cause an explosion, thereby harming the detector's only qualified user, Coyote (Carnivorous vulgaris). Your job is to assess the force acting on each of the wires as a result of a current passing through them. Here are the specifications: | + | You have been hired by the Acme Corporation to develop a new detector for locating Road Runners (Accelleratti incredibus). A key portion of the detector has two wires that must run past each other for the length of the apparatus. However, it is important that they do not touch as that would cause an explosion, thereby harming the detector's only qualified user, Wile E. Coyote (Carnivorous vulgaris). Your job is to assess the force acting on each of the wires as a result of a current passing through them. Here are the specifications of the apparatus: |
| * Wires are 100 cm ling | * Wires are 100 cm ling | ||
| * Wires are 2.0 cm apart | * Wires are 2.0 cm apart | ||
| Line 49: | Line 51: | ||
| ===Handout=== | ===Handout=== | ||
| - | {{:repository:parallelwiressolved.png?nolink&600|}} | + | {{ :repository:parallelwiressolved.png?nolink&600|}} |
| In order to determine the force that each wire exerts on the other, the magnetic field $B$ must first be calculated. This can be done using the Biot-Savart Law: | In order to determine the force that each wire exerts on the other, the magnetic field $B$ must first be calculated. This can be done using the Biot-Savart Law: | ||
| Line 58: | Line 60: | ||
| where $L$ is the length of the wire. From here, the rest is just a matter of creating arrows (lines 34-37), showing the direction of the magnetic field (lines 39-60), and modelling a charge travelling through the wires (lines 62-75). | where $L$ is the length of the wire. From here, the rest is just a matter of creating arrows (lines 34-37), showing the direction of the magnetic field (lines 39-60), and modelling a charge travelling through the wires (lines 62-75). | ||
| - | Based on the above calculations, the maximum magnetic force acting on each wire for a 4.5 A current is ___. Using the right-hand rule, or checking the signs of the calculated forces, you'll find that the wires attract each other when the current goes in the same direction, and the wires will repel each other when the current goes in opposite directions. | + | Based on the above calculations, the maximum magnetic force acting on each wire for a 4.5 A current is $2.03*10^-5$ N. Using the right-hand rule, or checking the signs of the calculated forces, you'll find that the wires attract each other when the current goes in the same direction, and the wires will repel each other when the current goes in opposite directions. |
| - | See the completed code below, with relevant additions highlighted. | + | See the completed code below, with the physics-specific lines highlighted. |
| ===Code=== | ===Code=== | ||
| - | <code Python [enable_line_numbers="true", highlight_lines_extra=""]> | + | <code Python [enable_line_numbers="true", highlight_lines_extra="20,23,24,25,28,29,32,33"]> |
| GlowScript 2.7 VPython | GlowScript 2.7 VPython | ||
| Line 137: | Line 139: | ||
| charge2.color = vector(0,0,0) | charge2.color = vector(0,0,0) | ||
| - | counter = counter+1 | + | counter = counter+1 </code> |
| - | + | ||
| - | </code> | + | |
| ---- | ---- | ||
| ====See Also==== | ====See Also==== | ||
| - | * | + | *[[magnetic_field_deflection | Magnetic Field Deflection]] |
| | | ||