184_notes:b_flux_t

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184_notes:b_flux_t [2020/08/24 17:50] – dmcpadden184_notes:b_flux_t [2021/07/13 12:40] (current) – schram45
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 {{youtube>7jyFztBVBjw}} {{youtube>7jyFztBVBjw}}
  
-==== Increasing Current to Steady State ====+===== Increasing Current to Steady State =====
 [{{ 184_notes:Week14_1.png?200|Approximating current vs time graph for initially connecting a circuit}}] [{{ 184_notes:Week14_1.png?200|Approximating current vs time graph for initially connecting a circuit}}]
  
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 When you have a typical circuit (like a battery connected to a light bulb), the change in the magnetic field is small enough that the induced current in any nearby loop is probably negligible. However, as circuit components become smaller and smaller and are placed closer and closer together (with roughly the same amount of current), the induced currents (because of changing magnetic fields) can become an important consideration in the design of electronics. When you have a typical circuit (like a battery connected to a light bulb), the change in the magnetic field is small enough that the induced current in any nearby loop is probably negligible. However, as circuit components become smaller and smaller and are placed closer and closer together (with roughly the same amount of current), the induced currents (because of changing magnetic fields) can become an important consideration in the design of electronics.
  
-==== Flux through a Loop ====+===== Flux through a Loop =====
 [{{  184_notes:Week14_2.png?200|Concentric coils, with the larger coil connected to a battery}}] [{{  184_notes:Week14_2.png?200|Concentric coils, with the larger coil connected to a battery}}]
  
 As an example, let's consider a set of concentric coils, where the larger outside coil is initially connected to a battery so that it's current increases from 0 A to 1 A in 1 ns. What would be the induced potential in the smaller inner coil? As an example, let's consider a set of concentric coils, where the larger outside coil is initially connected to a battery so that it's current increases from 0 A to 1 A in 1 ns. What would be the induced potential in the smaller inner coil?
  
-We know from Faraday's law that the induced voltage in the small loop should be equal to the change in magnetic flux through the small coil. Since the small coil is at the center of the large coil, the magnetic flux through the small coil would be due to the magnetic field from the large coil.+We know from Faraday's law that the //induced voltage in the small loop should be equal to the change in magnetic flux through the small coil//. Since the small coil is at the center of the large coil, the magnetic flux through the small coil would be due to the magnetic field from the large coil.
  
 [{{184_notes:Week14_3.png?150|Magnetic field from the current in the outer loop  }}] [{{184_notes:Week14_3.png?150|Magnetic field from the current in the outer loop  }}]
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 ==== Examples ==== ==== Examples ====
-[[:184_notes:examples:Week14_changing_current_rectangle|Changing Current Induces Voltage in Rectangular Loop]]+  * [[:184_notes:examples:Week14_changing_current_rectangle|Changing Current Induces Voltage in Rectangular Loop]] 
 +    * Video Example: Changing Current Induces Voltage in Rectangular Loop 
 +{{youtube>wlEjFcmfD50?large}}
  • 184_notes/b_flux_t.1598291415.txt.gz
  • Last modified: 2020/08/24 17:50
  • by dmcpadden