{{tag>magnetic_potential exam_ee2_SS2024}}{{include_n>1060}}
 
#@TaskTitle_HTML@##@Lvl_HTML@#~~#@ee1_taskctr#~~ Magnetic Potential \\
<fs medium>(written test, approx. 8 % of a 120-minute written test, SS2024)</fs> #@TaskText_HTML@#

Calculate the magnetic potential difference V_m for the following paths as shown by the solid lines. \\
Dotted lines are only for there for symmetry aspects! \\ \\
The wires conduct the following currents: 
  * $|I_1|=2 ~\rm A$
  * $|I_2|=5 ~\rm A$
  * $|I_3|=11 ~\rm A$
  * $|I_4|=7 ~\rm A$
Pay attention to the signs of the currents (given by the diagrams) and of the results!

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#@HiddenBegin_HTML~kmp8r8y6lvwjnoc3_12,Result~@#
Based on the right-hand rule and the part of a full revolution the following results:

  - Task: $+I_1 - I_2 = -3 ~\rm A$ \\ \\
  - Task: $+{{1}\over{4}} I3 = 11/4 ~\rm A$ (it does not matter which way the path goes from the startpoint to the endpoint, as long as it has the same direction and number of revolutions) \\ \\
  - Task: $-{{1}\over{4}} I1 = -0.5 ~\rm A$ \\ \\
  - Task: $+2 \cdot I_2 - 1 \cdot I_3 = -1 ~\rm A$ \\ \\


#@HiddenEnd_HTML~kmp8r8y6lvwjnoc3_12,Result~@#

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