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UNIVERSIDAD NACIONAL DE INGENIERIA
Facultad de Ingeniería Industrial y Sistemas
“Área de Ciencias Básicas”
Examen Parcial
La cámara web debe estar encendida durante toda la prueba mostrando su rostro y su zona de trabajo en forma
natural. Atento al Chat del ZOOM para comunicarnos sin perturbar la concentración de otros
Firme cada hoja de trabajo. En la última hoja poner un documento de identidad
Use letra clara, legible. No use dos columnas.
Suba su prueba en formato PDF cuidando claridad, nitidez y de manera vertical
Use su correo UNI, el archivo debe tener nombre:
Apellido Paterno + Nombre. Ejemplo: Salcedo Joaquín
No está permitido el uso de internet, para objeto diferente a la comunicación vía Whatsapp, Zoom, y formulario Google.
No debe comunicarse con otras personas o compañeros de curso.
El incumplimiento de estas instrucciones será causal para anular la prueba
De encontrar trabajos idénticos se anularán las pruebas.
1 (1,3)
La densidad volumétrica en el espacio está dada por la expresión, donde r es la distancia
de un punto al sistema de referencia.
𝜌(𝑟) =
𝜌0
𝜖0
(
𝑟
3
−
𝑟2
4𝑅
) , 𝑟 ≤ 𝑅
𝜌(𝑟) = 0 , 𝑟 ≥ 𝑅
Donde 𝜌0 es una contante positiva
a) Halle la carga total encerrada por una esfera de radio R.
b) Halle el flujo eléctrico a través de una superficie esférica de radio 2R.
CURSO FISICA II CICLO 2021-I
CODIGOS FB 401 U, V, W, X
DOCENTES Mag. CAÑOTE FAJARDO, VICTOR
Mag. HUALLPA GUITIERREZ, WALTER
Lic. SALCEDO TORRES, JOAQUIN
Mag. SAN BARTOLOME MONTERO, JAIME
Fecha 24 05 21
2 (2,2) Respecto al circuito
a) Halle la constante de tiempo.
b) Halle la máxima carga.
3 a) (2) Un bloque de 4,00 kg con una carga Q = 50,0 µC se conecta a un resorte para el cual
k = 100 N/m. El bloque está sobre una pista horizontal sin fricción, el sistema está inmerso en un
CEU de magnitud E = 5,00 x 105
V/m y su dirección es como se indica en la figura. Si el bloque se
suelta desde el reposo cuando el resorte está indeformado (en x = 0),
i) ¿En qué cantidad máxima se alarga el resorte?
ii) Muestre qué, en estas condiciones, si se perturba al sistema, el movimiento del bloque es
armónico simple y halle su periodo.
b) (2) Cuando el interruptor S de la figura está abierto, el voltímetro V señala 1,56 V. Cuando está
cerrado, el voltímetro indica 1,45 V y el amperímetro A señala 1,30 A. Encuentre la fem y la
resistencia interna de la batería. Suponga que los dos medidores son ideales.
Coordinación y redacción final
Lic. Joaquín Salcedo

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Examen parcial fisica ii(1)

  • 1. UNIVERSIDAD NACIONAL DE INGENIERIA Facultad de Ingeniería Industrial y Sistemas “Área de Ciencias Básicas” Examen Parcial La cámara web debe estar encendida durante toda la prueba mostrando su rostro y su zona de trabajo en forma natural. Atento al Chat del ZOOM para comunicarnos sin perturbar la concentración de otros Firme cada hoja de trabajo. En la última hoja poner un documento de identidad Use letra clara, legible. No use dos columnas. Suba su prueba en formato PDF cuidando claridad, nitidez y de manera vertical Use su correo UNI, el archivo debe tener nombre: Apellido Paterno + Nombre. Ejemplo: Salcedo Joaquín No está permitido el uso de internet, para objeto diferente a la comunicación vía Whatsapp, Zoom, y formulario Google. No debe comunicarse con otras personas o compañeros de curso. El incumplimiento de estas instrucciones será causal para anular la prueba De encontrar trabajos idénticos se anularán las pruebas. 1 (1,3) La densidad volumétrica en el espacio está dada por la expresión, donde r es la distancia de un punto al sistema de referencia. 𝜌(𝑟) = 𝜌0 𝜖0 ( 𝑟 3 − 𝑟2 4𝑅 ) , 𝑟 ≤ 𝑅 𝜌(𝑟) = 0 , 𝑟 ≥ 𝑅 Donde 𝜌0 es una contante positiva a) Halle la carga total encerrada por una esfera de radio R. b) Halle el flujo eléctrico a través de una superficie esférica de radio 2R. CURSO FISICA II CICLO 2021-I CODIGOS FB 401 U, V, W, X DOCENTES Mag. CAÑOTE FAJARDO, VICTOR Mag. HUALLPA GUITIERREZ, WALTER Lic. SALCEDO TORRES, JOAQUIN Mag. SAN BARTOLOME MONTERO, JAIME Fecha 24 05 21
  • 2. 2 (2,2) Respecto al circuito a) Halle la constante de tiempo. b) Halle la máxima carga. 3 a) (2) Un bloque de 4,00 kg con una carga Q = 50,0 µC se conecta a un resorte para el cual k = 100 N/m. El bloque está sobre una pista horizontal sin fricción, el sistema está inmerso en un CEU de magnitud E = 5,00 x 105 V/m y su dirección es como se indica en la figura. Si el bloque se suelta desde el reposo cuando el resorte está indeformado (en x = 0), i) ¿En qué cantidad máxima se alarga el resorte? ii) Muestre qué, en estas condiciones, si se perturba al sistema, el movimiento del bloque es armónico simple y halle su periodo. b) (2) Cuando el interruptor S de la figura está abierto, el voltímetro V señala 1,56 V. Cuando está cerrado, el voltímetro indica 1,45 V y el amperímetro A señala 1,30 A. Encuentre la fem y la resistencia interna de la batería. Suponga que los dos medidores son ideales. Coordinación y redacción final Lic. Joaquín Salcedo