| Beide Seiten der vorigen Revision Vorhergehende Überarbeitung Nächste Überarbeitung | Vorhergehende Überarbeitung |
| electrical_engineering_1:network_analysis [2023/11/28 00:43] – mexleadmin | electrical_engineering_1:network_analysis [2025/01/29 00:30] (aktuell) – mexleadmin |
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| For conditioning, the input signal is to be fed via the series resistor $R_3$ to the center potential of a voltage divider $R_1 - R_2$ with $R_1$ to a supply voltage $U_{\rm s}$. | For conditioning, the input signal is to be fed via the series resistor $R_3$ to the center potential of a voltage divider $R_1 - R_2$ with $R_1$ to a supply voltage $U_{\rm s}$. |
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| The following simulation shows roughly the situation (the resistor values are not correct). | The following simulation shows roughly the situation. Be aware that the resistor and voltage values are not correct! |
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| <WRAP>{{url>https://www.falstad.com/circuit/circuitjs.html?running=false&ctz=CQAgjCDMCmC0DsIBskB08CcGkA4AsYGADEQKxFIYjnUh6TVxhgBQATiLHjiAEy95kg-oKLgSJdkL4DpkIqOoSiUpMNlrwSMWN4SWAczkK5ekDpYAlaWG03ePHXTGlzboqlIsAbp0K8oE1h-PjwnCDC+Jx1PQz8MAPlBYISoMwsAd3iAgTEUnNkVDnyZZOxStzB9SFxpEQr6iwAjTl5SJHA8ZOZEgnMWAA9W0kSkRFgMCEgMRGFBJoBLAAcAewAbAEM2AB0AZwBlFYBXNgBjaD3t7YA7AApoVANUPY293ehr3ZW2AEpBkFShAYVSohA6cxAln+zF0REQYF4DF4VTooXA0IRfHgwLaWPBaN4-wwwlIoOYfCQAQhUKGwR4enGrmRYghkH+sBq4AwDBSXPxshp4Bwoymtigk1RsiO12W6y2bwW1wA1lc7g8nnsjgBhH5-SDwPLlepcemyCAWWlgHA8K3deAQK2zNGC4KULk8sCkYHlCH7FgrAHiQrODD0sRIVCKAKuFRAA noborder}} </WRAP> | <WRAP>{{url>https://www.falstad.com/circuit/circuitjs.html?ctz=CQAgjCBMCmC0AcUB08AMBmMA2SAWeAnLgKyRZi4jGpUi7pVxhgBQATiFpZHp5djRrVULAEp9wWGl3CREgukJALUSYiwBuIWGAKQQ6VJR16ouBRHOprUFcrUsA5tt37Dx1wcgqWAdxemeDQm+jyUIhwhULywBFjR4eDWIuhYiDJhCVmCLABG2pDE8RQeYG64ECIAHgWkBlgA7NoEEOgETdyUuQCWAA4A9gA2AIZsADoAzgDK-QCubADG0JNjYwB2ABTQSI5Ik8OTE9BrE-1sAJQsNQQE4AQMzMVxdGYgolfgYE3eTWCGUGAaJ1wB9HlB4BAyrc5JRgZAPgREGRfmBiFAGkDXu8amB4G5yAZsAYWi9eLM1n0hqNDt01gBrVabba7SazADC50u6AxzXimVg+CylWUHx08EQuI8DUh8A6WNF2FuugYOmID2ewKm7AkmRk7mUVGS2oyMUFmRo3msTgk+r13gN1W0-Fl4HVmN42PA3FQEEg3yMpMo6BY-U4kgN5kRtk4SESoRFQA noborder}} </WRAP> |
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| Questions: | Questions: |
| \end{align*} | \end{align*} |
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| The formula $(1)$ is the general formula to calculate the output voltage $U_{\rm O}$ for a changing input voltage $U_{\rm I}$, where the supply voltage $U_{\rm S}" is constant. \\ | The formula $(1)$ is the general formula to calculate the output voltage $U_{\rm O}$ for a changing input voltage $U_{\rm I}$, where the supply voltage $U_{\rm S}$ is constant. \\ |
| </callout> | </callout> |
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| #@HiddenEnd_HTML~Result1,Result~@# | #@HiddenEnd_HTML~Result1,Result~@# |
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| * Find the relationship between $R_1$, $R_2$, and $R_3$ by investigating Kirchhoff's nodal rule for the node where $R_1$, $R_2$, and $R_3$ are interconnected. | 2. Find the relationship between $R_1$, $R_2$, and $R_3$ by investigating Kirchhoff's nodal rule for the node where $R_1$, $R_2$, and $R_3$ are interconnected. |
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| #@HiddenBegin_HTML~Solution2,Solution~@# | #@HiddenBegin_HTML~Solution2,Solution~@# |
| #@HiddenEnd_HTML~Solution2,Solution ~@# | #@HiddenEnd_HTML~Solution2,Solution ~@# |
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| * What is the input resistance $R_{\rm in}(R_1, R_2, R_3)$ of the circuit (viewed from the sensor)? | 3. What is the input resistance $R_{\rm in}(R_1, R_2, R_3)$ of the circuit (viewed from the sensor)? |
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| #@HiddenBegin_HTML~Solution3,Solution~@# | #@HiddenBegin_HTML~Solution3,Solution~@# |
| #@HiddenEnd_HTML~Solution3,Solution~@# | #@HiddenEnd_HTML~Solution3,Solution~@# |
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| * What is the minimum allowed input resistance ($R_{\rm in, min}(R_1, R_2, R_3)$) for the sensor to still deliver current? | 4. What is the minimum allowed input resistance ($R_{\rm in, min}(R_1, R_2, R_3)$) for the sensor to still deliver current? |
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| #@HiddenBegin_HTML~Solution4,Solution~@# | #@HiddenBegin_HTML~Solution4,Solution~@# |