\def\GWslide{ \GWis{Education/ExperimentMenu/1stLevelBasic/ElectronEnergyConfinementTime/TheStory/Intro/HS_house} \GWis{Education/ExperimentMenu/1stLevelBasic/ElectronEnergyConfinementTime/TheStory/Intro/EnergyBalanceGraph} \GWis{Education/ExperimentMenu/1stLevelBasic/ElectronEnergyConfinementTime/TheStory/EnergyConfinementTime} \GWis{ShowRooms/PlasmaPerformance/TextBookPlasma/12529/Quasistationary} \GWis{Education/ExperimentMenu/1stLevelBasic/ElectronEnergyConfinementTime/TheStory/HeatingPower} \GWis{Education/ExperimentMenu/1stLevelBasic/ElectronEnergyConfinementTime/TheStory/PlasmaEnergy} \GWis{Education/ExperimentMenu/1stLevelBasic/ElectronEnergyConfinementTime/TheStory/CentralElectronTemperatureSpitzerFormula} %\GWis{Education/ExperimentMenu/1stLevelBasic/ElectronEnergyConfinementTime/Flowchart} \GWis{Education/ExperimentMenu/1stLevelBasic/ElectronEnergyConfinementTime/FlowChartSimple} %\GWis{Education/ExperimentMenu/1stLevelBasic/ElectronEnergyConfinementTime/TheStory/PlasmaCurrent/FlowChart} } \def\GolemEduTopicRsrc{ \EduTopic{Energy confinement time $\tau_E$}{Under the assumption of a simplified power balance, the heating power $P_H$ is partially absorbed in the plasma and leads to an increase of the plasma energy $W_p$ and the rest is lost as the loss power $P_L$ $P_H = \frac{d W_{p}}{d t} + P_L$. The energy confinement time is defined as the characteristic time scale of the exponential decay of the plasma energy $W_p$ due to the loss power $P_L$:$\tau_E = \frac{W_p}{P_L} = \frac{W_p}{P_H-dW_p/dt}$ .Choosing the quasistationary phase of the plasma discharge, where $\frac{d W_{p}}{d t}=0$ gives:$\tau_E(t)=\frac{W_{p}(t)}{P_H(t)}$}{} } \def\GolemEduTopic{ \EduTopic{Energy confinement time $\tau_E$}{Under the assumption of a simplified power balance, the heating power $P_H$ is partially absorbed in the plasma and leads to an increase of the plasma energy $W_p$ and the rest is lost as the loss power $P_L$. The energy confinement time is defined as the characteristic time scale of the exponential decay of the plasma energy $W_p$ due to the loss power $P_L$. Choosing the quasistationary phase of the plasma discharge gives:$\tau_E(t)=\frac{W_{p}(t)}{P_H(t)}$}{} }