(i) A capacitor with C 4.0 uF is charged through a 5.0 M2 resistor when connected to a battery of emf E-12.0 V as in the following circuit. (a) Write down the equation describing Kirchhoff's Law for the closed circuit (show clearly which plate of the capacitor is positive and which is negative). Calculate: (b) the time constant of the circuit and (c) the final value of the charge of the capacitor. (d) At what time is the voltage across the capacitor equal to that of the resistor?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 2
(i) A capacitor with C= 4.0 µF is charged through a 5.0 MN resistor when connected to a
battery of emf E-12.0 V as in the following circuit.
(a) Write down the equation describing
Kirchhoff's Law for the closed circuit (show
clearly which plate of the capacitor is positive and
which is negative).
Calculate: (b) the time constant of the circuit and
(c) the final value of the charge of the capacitor.
(d) At what time is the voltage across the capacitor
R
equal to that of the resistor?
(ii) When the capacitor is full charged, the battery is suddenly removed from the circuit
and the capacitor is left to discharge. After how much time will its stored energy drop to
half value?
Transcribed Image Text:Problem 2 (i) A capacitor with C= 4.0 µF is charged through a 5.0 MN resistor when connected to a battery of emf E-12.0 V as in the following circuit. (a) Write down the equation describing Kirchhoff's Law for the closed circuit (show clearly which plate of the capacitor is positive and which is negative). Calculate: (b) the time constant of the circuit and (c) the final value of the charge of the capacitor. (d) At what time is the voltage across the capacitor R equal to that of the resistor? (ii) When the capacitor is full charged, the battery is suddenly removed from the circuit and the capacitor is left to discharge. After how much time will its stored energy drop to half value?
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