Unterschiede

Hier werden die Unterschiede zwischen zwei Versionen angezeigt.

Link zu dieser Vergleichsansicht

Beide Seiten der vorigen Revision Vorhergehende Überarbeitung
Nächste Überarbeitung 		Vorhergehende Überarbeitung
Nächste Überarbeitung Beide Seiten der Revision
electrical_engineering_2:the_time-dependent_magnetic_field [2023/05/01 17:20]
mexleadmin [Bearbeiten - Panel] 		electrical_engineering_2:the_time-dependent_magnetic_field [2024/04/29 20:45]
mexleadmin [4 Time-dependent magnetic Field]
Zeile 1: Zeile 1:
-====== 4. Time-dependent magnetic Field ======+====== 4 Time-dependent magnetic Field ======
  
 <callout> This chapter is based on the book 'University Physics II' ([[https://creativecommons.org/licenses/by/4.0|CC BY 4.0]], Authors: [[https://openstax.org/details/books/university-physics-volume-2|Open Stax]] ). In detail this is chapter [[https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_University_Physics_(OpenStax)/Book%3A_University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)|11. Magnetic Forces and Fields]] </callout> <callout> This chapter is based on the book 'University Physics II' ([[https://creativecommons.org/licenses/by/4.0|CC BY 4.0]], Authors: [[https://openstax.org/details/books/university-physics-volume-2|Open Stax]] ). In detail this is chapter [[https://phys.libretexts.org/Bookshelves/University_Physics/Book%3A_University_Physics_(OpenStax)/Book%3A_University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)|11. Magnetic Forces and Fields]] </callout>
Zeile 20: Zeile 20:
 Lastly, we describe applications of these principles, such as the card reader shown in <imgref ImgNr01>. The black strip found on the back of credit cards and driver’s licenses is a very thin layer of magnetic material with information stored on it. Reading and writing the information on the credit card is done with a swiping motion. The physical reason why this is necessary is called electromagnetic induction and is discussed in this chapter. Lastly, we describe applications of these principles, such as the card reader shown in <imgref ImgNr01>. The black strip found on the back of credit cards and driver’s licenses is a very thin layer of magnetic material with information stored on it. Reading and writing the information on the credit card is done with a swiping motion. The physical reason why this is necessary is called electromagnetic induction and is discussed in this chapter.
  
-<WRAP> <imgcaption ImgNr01 | Creditcard as an magnetic Application> </imgcaption> {{drawio>Creditcard}} </WRAP>+<WRAP> <imgcaption ImgNr01 | a Credit Card as an magnetic Application> </imgcaption> {{drawio>Creditcard}} </WRAP>
  
 ===== 4.1 Recap of magnetic Field ===== ===== 4.1 Recap of magnetic Field =====
Zeile 343: Zeile 343:
 This changes the function to time-space rather than $\varphi$. The induced potential difference, therefore, varies sinusoidally with time according to This changes the function to time-space rather than $\varphi$. The induced potential difference, therefore, varies sinusoidally with time according to
  
-\begin{align*} u_{ind} &= U_{ind,0} \cdot \sin \omega t \end{align*}+\begin{align*} u_{\rm ind} &= U_{\rm ind,0} \cdot \sin \omega t \end{align*}
  
 where $U_{\rm ind,0} = NBA\omega$. </collapse> where $U_{\rm ind,0} = NBA\omega$. </collapse>
Zeile 351: Zeile 351:
 <panel type="info" title="Exercise 4.3.4 Calculating the Potential Difference Induced in a Generator Coil"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%> <panel type="info" title="Exercise 4.3.4 Calculating the Potential Difference Induced in a Generator Coil"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>
  
-The generator coil shown in <imgref ImgNr13> is rotated through one-fourth of a revolution (from $\phi_0=0°$ to $\phi_1=90°$) in $5.0 ~\rm ms$. +The generator coil shown in <imgref ImgNr13> is rotated through one-fourth of a revolution (from $\varphi_0=0°$ to $\varphi_1=90°$) in $5.0 ~\rm ms$. 
 The $200$-turn circular coil has a $5.00 ~\rm cm$ radius and is in a uniform $0.80 ~\rm T$ magnetic field. The $200$-turn circular coil has a $5.00 ~\rm cm$ radius and is in a uniform $0.80 ~\rm T$ magnetic field.