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| 184_notes:examples:week9_current_segment [2017/10/20 01:16] – [Solution] tallpaul | 184_notes:examples:week9_current_segment [2017/10/20 02:13] (current) – [Magnetic Field from a Current Segment] tallpaul |
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| You may have read about how to find the [[184_notes:b_current#Magnetic_Field_from_a_Very_Long_Wire|magnetic field from a very long wire of current]]. Now, what is the magnetic field from a single segment? Suppose we have the configuration shown below. Your observation point is at the origin, and the segment of current I runs in a straight line from ⟨−L,0,0⟩ to ⟨0,−L,0⟩. | You may have read about how to find the [[184_notes:b_current#Magnetic_Field_from_a_Very_Long_Wire|magnetic field from a very long wire of current]]. Now, what is the magnetic field from a single segment? Suppose we have the configuration shown below. Your observation point is at the origin, and the segment of current I runs in a straight line from ⟨−L,0,0⟩ to ⟨0,−L,0⟩. |
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| {{ 184_notes:9_current_segment.png?400 |Segment of Current}} | {{ 184_notes:9_current_segment_bare.png?200 |Segment of Current}} |
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| ===Facts=== | ===Facts=== |
| Below, we show a diagram with a lot of pieces of the Biot-Savart Law unpacked. We show an example d→l, and a separation vector →r. Notice that d→l is directed along the segment, in the same direction as the current. The separation vector →r points as always from source to observation. | Below, we show a diagram with a lot of pieces of the Biot-Savart Law unpacked. We show an example d→l, and a separation vector →r. Notice that d→l is directed along the segment, in the same direction as the current. The separation vector →r points as always from source to observation. |
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| {{picture}} | {{ 184_notes:9_current_segment.png?400 |Segment of Current}} |
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| For now, we write d→l=⟨dx,dy,0⟩ | For now, we write d→l=⟨dx,dy,0⟩ |