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--- electrical_engineering_1:task_l9hubowt6x00b2h5_with_calculation [2023/10/03 19:28] – mexleadmin
+++ electrical_engineering_1:task_l9hubowt6x00b2h5_with_calculation [Unbekanntes Datum] (aktuell) – gelöscht - Externe Bearbeitung (Unbekanntes Datum) 127.0.0.1
@@ Zeile 1: / Zeile 1: @@
-{{tag>current charge chapter1_4}}
-{{include_n>100}}
-#@TaskTitle_HTML@##@Lvl_HTML@#~~#@ee1_taskctr#~~ Determining the Current from Charge per Time                   #@TaskText_HTML@#
-Two objects experience a charge increase per time. In the <imgref l9hubowt6x00b2h5_1> one can see these increases in the charge per time.
-<WRAP>
-<imgcaption l9hubowt6x00b2h5_1| Time course of the charge>
-</imgcaption>
-{{drawio>l9hubowt6x00b2h5_1.svg}}
-</WRAP>
-. Determine the currents $I_1$ and $I_2$ for the two objects from the $Q$-$t$-diagram <imgref l9hubowt6x00b2h5_1> and plot the currents into a new diagram.
-#@PathBegin_HTML~1~@#
-  * Have a look how much increase $\Delta Q$ per time duration $\Delta t$ is there for each object.
-  * For this choose a distinct time period, e.g. between $0~\rm s$ and $20~\rm s$.
-  * The current is then given as the change in charge per time: $I= {{\Delta Q}\over{\Delta t}}$
-#@PathEnd_HTML@#
-#@ResultBegin_HTML~1~@#
-{{drawio>l9hubowt6x00b2h5_2.svg}}
-#@ResultEnd_HTML@#
-. How can the current be determined, when the charge increase on an object changes non-linearly?
-#@ResultBegin_HTML~2~@#
-A non-linear charge increase leads to a non-constant current. \\
-For a non-constant current, one has to use the time derivative of the charge $Q$ to get the current $I$. \\
-So, the formula $I= {{{\rm d} Q}\over{{\rm d} t}}$ has to be used instead of $I= {{\Delta Q}\over{\Delta t}}$.
-#@ResultEnd_HTML@#
-#@TaskEnd_HTML@#

current charge chapter1 4