# Unterschiede

Hier werden die Unterschiede zwischen zwei Versionen angezeigt.

 electrical_engineering_1:dc_circuit_transients [2021/11/03 14:21]tfischer electrical_engineering_1:dc_circuit_transients [2021/11/22 03:50] (aktuell)tfischer 2021/11/22 03:50 tfischer 2021/11/03 14:21 tfischer 2021/10/31 19:51 tfischer 2021/10/30 19:12 tfischer 2021/10/30 19:03 tfischer 2021/10/30 18:23 tfischer 2021/10/30 09:32 tfischer [Bearbeiten - Panel] 2021/10/30 09:32 tfischer 2021/10/30 09:27 tfischer 2021/10/24 00:11 tfischer 2021/10/24 00:10 tfischer 2021/10/24 00:09 tfischer 2021/10/24 00:08 tfischer 2021/10/24 00:07 tfischer 2021/10/24 00:07 tfischer 2021/10/24 00:03 tfischer 2021/10/23 23:57 tfischer 2021/10/23 23:50 tfischer 2021/10/23 23:44 tfischer 2021/10/18 08:39 tfischer 2021/10/17 14:49 slinn [Charging a capacitor at time t=0] 2021/10/17 14:49 slinn [Charging a capacitor at time t=0] 2021/10/17 14:47 slinn [Charging a capacitor at time t=0] 2021/10/17 14:45 slinn [Charging a capacitor at time t=0] 2021/10/17 14:38 slinn 2021/10/17 14:30 slinn [Charging a capacitor at time t=0] 2021/10/17 14:29 slinn [Charging a capacitor at time t=0] 2021/11/22 03:50 tfischer 2021/11/03 14:21 tfischer 2021/10/31 19:51 tfischer 2021/10/30 19:12 tfischer 2021/10/30 19:03 tfischer 2021/10/30 18:23 tfischer 2021/10/30 09:32 tfischer [Bearbeiten - Panel] 2021/10/30 09:32 tfischer 2021/10/30 09:27 tfischer 2021/10/24 00:11 tfischer 2021/10/24 00:10 tfischer 2021/10/24 00:09 tfischer 2021/10/24 00:08 tfischer 2021/10/24 00:07 tfischer 2021/10/24 00:07 tfischer 2021/10/24 00:03 tfischer 2021/10/23 23:57 tfischer 2021/10/23 23:50 tfischer 2021/10/23 23:44 tfischer 2021/10/18 08:39 tfischer 2021/10/17 14:49 slinn [Charging a capacitor at time t=0] 2021/10/17 14:49 slinn [Charging a capacitor at time t=0] 2021/10/17 14:47 slinn [Charging a capacitor at time t=0] 2021/10/17 14:45 slinn [Charging a capacitor at time t=0] 2021/10/17 14:38 slinn 2021/10/17 14:30 slinn [Charging a capacitor at time t=0] 2021/10/17 14:29 slinn [Charging a capacitor at time t=0] 2021/10/17 14:26 slinn [Charging a capacitor at time t=0] 2021/10/17 14:22 slinn [Charging a capacitor at time t=0] 2021/10/17 14:16 slinn [Charging a capacitor at time t=0] 2021/10/17 14:10 slinn [Charging a capacitor at time t=0] 2021/10/17 14:08 slinn 2021/10/17 13:56 slinn 2021/10/17 13:55 slinn [7.2 Energy of a capacitor] 2021/10/17 13:48 slinn [7.1 Time course of the charging and discharging process] 2021/10/17 13:39 slinn 2021/10/17 13:39 slinn 2021/10/17 02:05 tfischer 2021/10/17 02:03 tfischer 2021/10/17 01:56 tfischer 2021/10/17 01:50 tfischer 2021/10/16 13:49 slinn [Bearbeiten - Panel] 2021/10/16 13:48 slinn [Bearbeiten - Panel] 2021/10/16 13:46 slinn [Bearbeiten - Panel] 2021/10/16 13:45 slinn [Bearbeiten - Panel] 2021/10/14 18:19 slinn [Bearbeiten - Panel] 2021/10/14 18:17 slinn [Bearbeiten - Panel] 2021/10/14 18:15 slinn [Bearbeiten - Panel] 2021/10/14 18:11 slinn [Bearbeiten - Panel] 2021/09/28 23:04 tfischer 2021/09/28 23:04 tfischer ↷ Seitename wurde von electrical_engineering_1:switching_operations_of_rc-combinations auf electrical_engineering_1:dc_circuit_transients geändert Zeile 74: Zeile 74: - {{url>https://www.falstad.com/circuit/circuitjs.html?running=false&ctz=CQAgjCAMB0l3BOJyWoVaYEBYDsuBmbSbMSAVmwDZcqRyJyRsD6BTAWjDACgA3cNmwgATMUHCwQqDPFNIMmOR4AnEAQJ0pw4gu0yykHgGNmcCWYViFN2PEgjFd3gHcL10eI9G3Hj7s8bHl8vUL1aKB4AZVEADlj3ci1pGxAAMwBDABsAZzYZEWDRJPARBP0wMsi3CqqKlKKRErAqK3EWoJC9VsDwCKMAD09ccEh0ESpWbkdhMRAoniGWqdjHMFi9WKZZ4QBVRfAN8AQV9Cw6SQScg4JcSSx1BAhKmc8QACUbnpEx9XxRSrMN4AYR4tys8QsGmSkkUPAADsxsOVpEIEh4IJ0kejxAFvEU0RYAvpBqIEFpAQRIM8wNs3gBLG7U0oKAhgKYiViXECgoZ4ST-ZFaI7c3nMchnXAKPBrQhAuYAVx4AHtROBZGN0DB7LQRCccOQ2U0MPYELQksarGrWPSAPrAgA0AB0cgr7WD0U57Mztaa0P6kDyMvCMsZ6QAXDIAO2MbBdoII5QMengHzYOXpOUjMbjOU+QA noborder}} + In the simulation on the below you can see the circuit mentioned above in a slightly modified form: - + - In the simulation on the right you can see the circuit mentioned above in a slightly modified form: + * The capacitance $C$ can be charged via the resistor $R$ if the toggle switch $S$ connects the DC voltage source $U_s$ to the two. * The capacitance $C$ can be charged via the resistor $R$ if the toggle switch $S$ connects the DC voltage source $U_s$ to the two. Zeile 87: Zeile 85: - Become familiar with how the capacitor current $i_C$ and capacitor voltage $u_C$ depend on the given capacitance $C$ and resistance $R$. \\ To do this, use for $R=\{ 10\Omega, 100\Omega, 1k\Omega\}$ and $C=\{ 1\mu F, 10 \mu F\}$. How fast does the capacitor voltage $u_C$ increase in each case n? - Become familiar with how the capacitor current $i_C$ and capacitor voltage $u_C$ depend on the given capacitance $C$ and resistance $R$. \\ To do this, use for $R=\{ 10\Omega, 100\Omega, 1k\Omega\}$ and $C=\{ 1\mu F, 10 \mu F\}$. How fast does the capacitor voltage $u_C$ increase in each case n? - Which quantity ($i_C$ or $u_C$) is continuous here? Why must this one be continuous? Why must the other quantity be discontinuous? - Which quantity ($i_C$ or $u_C$) is continuous here? Why must this one be continuous? Why must the other quantity be discontinuous? + + {{url>https://www.falstad.com/circuit/circuitjs.html?running=false&ctz=CQAgjCAMB0l3BOJyWoVaYEBYDsuBmbSbMSAVmwDZcqRyJyRsD6BTAWjDACgA3cNmwgATMUHCwQqDPFNIMmOR4AnEAQJ0pw4gu0yykHgGNmcCWYViFN2PEgjFd3gHcL10eI9G3Hj7s8bHl8vUL1aKB4AZVEADlj3ci1pGxAAMwBDABsAZzYZEWDRJPARBP0wMsi3CqqKlKKRErAqK3EWoJC9VsDwCKMAD09ccEh0ESpWbkdhMRAoniGWqdjHMFi9WKZZ4QBVRfAN8AQV9Cw6SQScg4JcSSx1BAhKmc8QACUbnpEx9XxRSrMN4AYR4tys8QsGmSkkUPAADsxsOVpEIEh4IJ0kejxAFvEU0RYAvpBqIEFpAQRIM8wNs3gBLG7U0oKAhgKYiViXECgoZ4ST-ZFaI7c3nMchnXAKPBrQhAuYAVx4AHtROBZGN0DB7LQRCccOQ2U0MPYELQksarGrWPSAPrAgA0AB0cgr7WD0U57Mztaa0P6kDyMvCMsZ6QAXDIAO2MbBdoII5QMengHzYOXpOUjMbjOU+QA noborder}} At the following, this circuit is divided into two separate circuits, which consider only charging and only discharging. At the following, this circuit is divided into two separate circuits, which consider only charging and only discharging. Zeile 92: Zeile 92: ~~PAGEBREAK~~ ~~CLEARFIX~~ ~~PAGEBREAK~~ ~~CLEARFIX~~ -  {{drawio>SchaltungEntladekurve2}}  + Here a short introduction about the transient behavior of an RC element (starting at 15:07 until 24:55) + {{youtube>8nyNamrWcyE?start=907&stop=1495}} To understand the charging process of a capacitor, an initially uncharged capacitor with capacitance $C$ is to be charged by a DC voltage source $U_s$ via a resistor $R$. To understand the charging process of a capacitor, an initially uncharged capacitor with capacitance $C$ is to be charged by a DC voltage source $U_s$ via a resistor $R$. Zeile 102: Zeile 103: * With the current thus reduced, less charge flows on the capacitor. * With the current thus reduced, less charge flows on the capacitor. * Ideally, the capacitor is not fully charged to the specified voltage $U_s$ until $t \rightarrow \infty$. It then carries the charge: $q(t \rightarrow \infty)=Q = C \cdot U_s$ * Ideally, the capacitor is not fully charged to the specified voltage $U_s$ until $t \rightarrow \infty$. It then carries the charge: $q(t \rightarrow \infty)=Q = C \cdot U_s$ + + {{drawio>SchaltungEntladekurve2}} The process is now to be summarized in detail in formulas. Linear components are used in the circuit, i.e. the component values for the resistor $R$ and the capacitance $C$ are independent of the current or the voltage. Then definition equations for the resistor $R$ and the capacitance $C$ are also valid for time-varying or infinitesimal quantities: The process is now to be summarized in detail in formulas. Linear components are used in the circuit, i.e. the component values for the resistor $R$ and the capacitance $C$ are independent of the current or the voltage. Then definition equations for the resistor $R$ and the capacitance $C$ are also valid for time-varying or infinitesimal quantities: