==== Mesh set ====

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**In every closed circuit and every mesh of the network, the sum of all voltages is zero!** \\
Set the voltage on the power supply to $12~\rm V$ and measure this voltage precisely using a multimeter. Set up the measuring circuit shown in <imgref Fig-2_Mesh-set_V1>.

{{drawio>lab_electrical_engineering:1_resistors:Fig-1_Mesh-set_V1.svg}}\\
<imgcaption Fig-2_Mesh-set_V1 | Mesh-set> </imgcaption>

Add the voltage arrows and measure $U$, $U_{\rm 1}$ und $U_{\rm 2}$:

{{drawio>lab_electrical_engineering:1_resistors:Table-1_Mesh-set_V1.svg}}\\
<tabcaption Table-4_mesh-set_V1 | Mesh set voltage mesurement> </tabcaption>

What is the mesh set here? <wrap onlyprint>\\
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</wrap>

Check the formula with the measured values: <wrap onlyprint>\\
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</wrap>

The resistors $R_{\rm 1}$ and $R_{\rm 2}$ connected in series form a voltage divider. What is the ratio between the voltages $U_{\rm 1}$ and $R_{\rm 2}$?

$$ \frac{U_1}{U_2} = $$

==== Set of nodes ====

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**At each junction point, the sum of all incoming and outgoing currents is equal to zero!** \\
Set the voltage on the power supply to $12~\rm V$ and measure the voltage accurately with a multimeter. In the first step, set up the measuring circuit shown in <imgref Fig-3-Node-set-1_V1>:

{{drawio>lab_electrical_engineering:1_resistors:Fig-3_V1-Node-Set-1.svg}} <imgcaption Fig-3-Node-set-1_V1 | Node-set circuit 1> </imgcaption>

Draw the arrows for the directions of currents $I_{\rm 1}$ and $I_{\rm 2}$ in <imgref Fig-4-Node-set-2_V1>. The DC current measurement range must be set on both multimeter using the rotary switch. Then measure currents $I_{\rm 1}$ and $I_{\rm 2}$ and enter the measured values in <tabref Table-5_Node-set_V1>.

{{drawio>lab_electrical_engineering:1_resistors:Fig-4_V1-Node-Set-2.svg}} 
<imgcaption Fig-4-Node-set-2_V1 | Node-set circuit 2> </imgcaption>

What is the relationship between currents $I_{\rm 1}$ and $I_{\rm 2}$?

$$ \frac{I_1}{I_2} = $$

Switch the power supply back on and measure the current $I$. Enter its value in <tabref Table-5_Node-set_V1>.

{{drawio>lab_electrical_engineering:1_resistors:Table-5_Node-set_V1.svg}}\\
<tabcaption Table-5_Node-set_V1 | Node set current mesurement> </tabcaption>

Determine the node set for node K and check its validity.\\
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Using the measured values for resistors $R_{\rm 1}$, $R_{\rm 2}$, and $R_{\rm 3}$, calculate the total resistance $R_{\rm KP}$:\\
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Using the calculated value $R_{\rm KP}$, check the measured value of the total current:\\
$$ I=\frac{U}{R_{KP}} = $$