{{tag>current charge chapter1_4}} {{include_n>100}} ~~#@ee1_taskctr~~ Determining the Current from Charge per Time Two objects experience a charge increase per time. In the one can see these increases in the charge per time. {{drawio>l9hubowt6x00b2h5_1.svg}} 1. Determine the currents $I_1$ and $I_2$ for the two objects from the $Q$-$t$-diagram and plot the currents into a new diagram. * 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: $I= {{\Delta Q}\over{\Delta t}}$ {{drawio>l9hubowt6x00b2h5_2.svg}} 2. How can the current be determined, when the charge increase on an object changes non-linearly? 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 $I= {{\Delta Q}\over{\Delta t}}$.