Name: series resistors and voltage split
Uploaded: 2024-04-11T12:48:28.000Z
Duration: 1 min 14 s
Channel: JoVE

In una connessione in serie, i resistori sono collegati in sequenza e la stessa corrente deve fluire attraverso ciascuno di essi.
La tensione attraverso questi resistori può essere espressa utilizzando la legge di Ohm. Secondo la legge della tensione di Kirchhoff, la somma della tensione attraverso i resistori è uguale alla tensione della sorgente.
Di conseguenza, la corrente nel circuito è uguale alla tensione di sorgente divisa per la resistenza totale in serie.
Sostituendo l'espressione di corrente nella legge di Ohm si ottiene la tensione attraverso ciascun resistore.
Quindi, la tensione di sorgente viene divisa proporzionalmente tra più resistori in base alle loro resistenze individuali, che è noto come principio di "divisione di tensione". Un circuito che dimostra questo principio è chiamato divisore di tensione.
Una combinazione di resistori in serie può essere trattata come un singolo resistore equivalente.
La resistenza di questo resistore equivalente è uguale alla somma delle resistenze dei singoli resistori in serie.
La resistenza equivalente può essere generalizzata per qualsiasi numero di resistori collegati in serie.
Allo stesso modo, è possibile scrivere un'espressione generalizzata per la caduta di tensione attraverso questi resistori.

divisori di tensione

Nei circuiti elettrici, i resistori possono essere collegati in serie, collegati in sequenza uno dopo l'altro. In una configurazione in serie, la stessa corrente scorre attraverso ciascun resistore. La legge di Ohm è un principio fondamentale per comprendere il comportamento dei resistori in serie. Esprime la tensione attraverso questi resistori in termini di corrente e resistenza.

La legge sulla tensione di Kirchhoff implica che la somma delle tensioni ai capi dei resistori in serie è uguale alla tensione della sorgente. Ciò significa che la corrente nel circuito è uguale alla tensione della sorgente divisa per la resistenza totale in serie. Questa espressione di corrente può essere sostituita nella legge di Ohm per determinare la tensione ai capi di ciascun resistore. Questa disposizione determina una divisione proporzionale della tensione sorgente tra più resistori in base alle rispettive resistenze individuali. Questo principio è noto come "divisione di tensione", un circuito che esemplifica questo principio è chiamato "divisore di tensione".

Una combinazione di resistori collegati in serie può essere trattata come un singolo resistore equivalente. Il valore di questo resistore equivalente è semplicemente la somma delle resistenze dei singoli resistori in serie. Questo concetto si estende a qualsiasi numero di resistori collegati in serie.

<img alt="Equation1" src="/files/ftp_upload/15072/15072_PT_Equation_1.svg" style="text-align: center; height: 16px;">

La caduta di tensione su ciascun resistore in un circuito in serie è direttamente proporzionale alla sua resistenza. Di conseguenza, i resistori con valori di resistenza maggiori subiranno cadute di tensione più significative. Questo principio è alla base dei divisori di tensione, dove la caduta di tensione di ciascun resistore è determinata dalla sua resistenza rispetto alla resistenza totale nella serie.

In pratica, è comune combinare resistori in serie o in parallelo, il che spesso richiede una rappresentazione semplificata del circuito. Questa semplificazione si ottiene combinando due resistori alla volta. La resistenza equivalente di due resistori in serie è la somma delle loro resistenze individuali. Questa tecnica facilita l'analisi di circuiti complessi, fornendo agli ingegneri uno strumento prezioso per la progettazione e la risoluzione dei problemi dei sistemi elettrici.

Divisori di tensione

In una connessione in serie, i resistori sono collegati in sequenza e la stessa corrente deve fluire attraverso ciascuno di essi.
La tensione attraverso questi resistori può essere ...

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Voltage Dividers

series resistors and voltage split

Series resistors split voltage across a circuit. In a series setup, resistors are linked one after another. The same current flows through each resistor in the chain. To analyze this behavior, Ohm's law is used to relate voltage, current, and resistance.

Kirchhoff's voltage law says the voltages around a series loop add up to the source voltage. That means the current in the circuit equals the source voltage divided by the total resistance in series. The current value can then be used in Ohm's law to find the voltage across each resistor. This is the principle of voltage division.

A circuit that uses this principle is called a voltage divider. The source voltage is shared among the resistors in proportion to their resistance values. A resistor with a larger resistance gets a larger voltage drop. This relationship stays the same for any number of resistors in series.

Resistors in series can also be replaced by one equivalent resistor. Its resistance is the sum of the individual resistances. Circuit analysis often uses this idea when simplifying complex networks. Engineers combine two resistors at a time to make the circuit easier to study and troubleshoot.

Series Resistors and Voltage Split

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voltage

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kirchhoff's current law

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kirchhoff's voltage law

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voltage dividers

Series resistors split voltage across a circuit. In a series setup, resistors are linked one after another. The same current flows through each resistor in the chain. To analyze this behavior, Ohm's law is used to relate voltage, current, and resistance. Kirchhoff's voltage law says the voltages around a series loop add up to the source voltage. That means the current in the circuit equals the source voltage divided by the total resistance in series. The current value can then be used in Ohm's...

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Parallel Resistors and Current Division

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key terms and concepts

Learn how resistors in series split source voltage, use Ohm's law and Kirchhoff's voltage law, and simplify circuits with equivalent resistance.

Series Resistors and Voltage Split | JoVE K12

JoVE Core Electrical Engineering offers easy-to-understand animated videos that cover fundamental concepts of electric circuits along with circuit analysis techniques. It incorporates first-order and second-order circuits using operational amplifiers and circuit transformation concepts. The inclusion of practical design examples and real-world applications through scientist-in-action videos adds significant educational value, making complex concepts accessible.

electrical engineering

Series Resistors and Voltage Split

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