un capacitor se conecta a cierto voltaje. si el voltaje se duplica, ¿cómo cambian su capacidad c su carga eléctrica q y la energía ep que almacena?

obtenga un capacitor se conecta a cierto voltaje. si el voltaje se duplica, ¿cómo cambian su capacidad c su carga eléctrica q y la energía ep que almacena? de este sitio.

Un capacitor se conecta a cierto voltaje. Si el voltaje se duplica, ¿cómo cambian su capacidad C su carga eléctrica q y la energía

Un capacitor se conecta a cierto voltaje. Si el voltaje se duplica, ¿cómo cambian su capacidad C su carga eléctrica q y la energía Ep que almacena? - studyfectlat.com

Un capacitor se conecta a cierto voltaje. Si el voltaje se duplica, ¿cómo cambian su capacidad C su carga eléctrica q y la energía Ep que almacena?

johannaboo24

2   28.10.2020 16:25    12

Respuestas

23.01.2021 08:55

La capacitancia del capacitor NO cambia. Esta depende solamente de la geometría del capacitor y del material o medio que separa a los conductores cargados (dieléctricos). Es una medida de su capacidad para almacenar carga y energía potencial eléctrica.

Sabemos que la energía almacenada en el capacitor es:

Donde Q es la carga y V el voltaje... Como observamos, si el voltaje se duplica, la energía también se duplica, ya que son directamente proporcionales.

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23.01.2021 08:55 respuesta: dddrgfg Mostrar respuestas Gracias Inútil

23.01.2021 08:55 respuesta:

hola perdona no entendí me lo explicas así te respondo?

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23.01.2021 08:55

Si se duplica el voltaje del capacitor la capacidad se mantiene igual, la carga se duplica y la energía almacenada se multiplica por 4.

Explicación:

La capacidad del capacitor es un parámetro intrínseco del capacitor por lo que es independiente de la tensión y de la carga. No varía con la tensión.

En cuanto a la carga, la relación entre el voltaje, la carga y la capacidad es:

Si el voltaje pasa a ser 2.V la nueva carga es:

Donde vemos que la carga se duplica si la tensión se duplica.

En cuanto a la energía que almacena, empezamos hallando la expresión de la energía:

Si el voltaje pasa a ser 2.V tenemos:

Donde vemos que la energía se multiplica por 4.

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Un capacitor se conecta a cierto voltaje. Si el voltaje se duplica, ¿cómo cambian sucapacidad C su

Un capacitor se conecta a cierto voltaje. Si el voltaje se duplica, ¿cómo cambian sucapacidad C su carga eléct… Recibe ahora mismo las respuestas que necesitas!

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Un capacitor se conecta a cierto voltaje. Si el voltaje se duplica, ¿cómo cambian sucapacidad C su - Brainly.lat

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Se conectan dos condensadores

Se conectan dos condensadores

Consideremos el problema de los dos condensadores iguales. Inicialmente uno de ellos se encuentra cargado con una carga Q, y el otro descargado. Se ponen en contacto formando un circuito, en el estado final, los dos condensadores quedan cargados con una carga Q/2 cada uno. Este problema, que a primera vista parece trivial, tiene sin embargo, mucho interés ya que nos permite estudiar modelos cada vez más elaborados que explican de forma más realista el proceso de descarga de un condensador y la carga del otro inicialmente descargado.

Los condensadores se unen mediante hilos superconductores

Los condensadores se unen mediante cables que presentan cierta resistencia la paso de la corriente

Se tiene en cuenta la autoinducción del circuito

El caso más importante sucede cuando se conectan las placas del mismo signo de dos condensadores de capacidades C1 y C2. Si inicialmente, el condensador C1 se ha cargado con una carga Q y se conecta al condensador C2 inicialmente descargado. Después de conectarlos, las cargas pasan de un condensador al otro hasta que se igualan los potenciales.

Las cargas finales de cada condensador q1 y q2, se obtienen a partir de las ecuaciones de la conservación de la carga y de la igualdad de potenciales de los condensadores después de la unión.

Q = q 1 + q 2 V = q 1 C 1 = q 2 C 2

Q=q1+q2  V=q1C1=q2C2

Despejando q1 y q2, en el sistema de dos ecuaciones

q 1 = Q C 1 C 1 + C 2 q 2 = Q C 2 C 1 + C 2

q1=QC1C1+C2  q2=QC2C1+C2

La energía inicial, es la almacenada en forma de campo eléctrico en el condensador de capacidad C1

U i = 1 2 Q 2 10 C 1 + 1 2 Q 2 20 C 2

Ui=12Q102C1+12Q202C2

La energía final, es la suma de las energías almacenadas en los dos condensadores

U f = 1 2 q 2 1 C 1 + 1 2 q 2 2 C 2 = 1 2 Q 2 C 1 + C 2

Uf=12q12C1+12q22C2=12Q2C1+C2

Como vemos la energía final Uf es menor que la inicial Ui.

En la figura, se muestra la analogía hidráulica de un sistema formado por dos condensadores en paralelo.

Supongamos que tenemos un condensador cargado a una diferencia de potencial V, la carga que adquiere el condensador es Q0=C·V. La energía acumulada en el condensador es

U 0 = 1 2 C V 2 U0=12CV2

Conectamos este condensador a otro idéntico inicialmente descargado. Cuando el circuito se cierra la carga fluye del primero hacia el segundo hasta que la diferencia de potencial en ambos condensadores es la misma.

Como la capacidad C de ambos condensadores es la misma, la carga final de cada uno de los condensadores será la mitad de la carga inicial

Q 1 = Q 0 2 V 1 = V 2 Q 2 = Q 0 2 V 2 = V 2

Q1=Q02  V1=V2Q2=Q02  V2=V2

La energía acumulada por el sistema formado por los dos condensadores es

U = 1 2 C V 2 1 + 1 2 C V 2 2 = 1 4 C V 2 = 1 2 U 0

U=12CV12+12CV22=14CV2=12U0

La energía final es la mitad de la energía inicial. Siempre se perderá la mitad de la energía independientemente de que cambiemos o no la resistencia de los cables que unen los condensadores.

Analogía hidráulica

Supongamos dos depósitos cilíndricos iguales conectados por un tubo horizontal de sección despreciable, tal como se indica en la figura, el primero de ellos con una masa m de agua, y el segundo vacío.

La energía inicial del agua es la energía potencial del centro de masas del agua que está a una altura h de la base. U0=mgh

Si se abre la llave, el agua fluye del primer depósito al segundo, hasta que la altura del agua es la misma en ambos. Por tanto, el agua se reparte por igual entre los dos depósitos. La energía final será

U = m 2 g h 2 + m 2 g h 2 = 1 2 m g h = 1 2 U 0

U=m2gh2+m2gh2=12mgh=12U0

la mitad de la energía inicial.

Como hemos visto, si no hubiese resistencia alguna, no habría pérdidas, ya que la energía potencial del agua se transforma en cinética del agua que fluye y viceversa. El agua pasaría de un depósito al otro, se produciría un movimiento oscilatorio. Lo mismo ocurriría en un sistema de dos condensadores, la carga oscilaría entre los dos condensadores.

fuente : www.sc.ehu.es