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switch The figure above shows a circuit containing an electromotive force (a battery), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (). The voltage drop across the capacitor is Q/C, where is the charge (in coulombs), so in this case Kirchhoff's Law gives Since the current is I = R dQ dt -, we have R Find the charge and the current at time t. Q(t) I(t) RI+ dQ dt Q = E(t). + 1/2= E(t). Suppose the resistance is 202, the capacitance is 0.2F, a battery gives a constant voltage of E(t) = 60V, and the initial charge is Q(0) = 0C

switch The figure above shows a circuit containing an electromotive force (a battery), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (). The voltage drop across the capacitor is Q/C, where is the charge (in coulombs), so in this case Kirchhoff's Law gives Since the current is I = R dQ dt -, we have R Find the charge and the current at time t. Q(t) I(t) RI+ dQ dt Q = E(t). + 1/2= E(t). Suppose the resistance is 202, the capacitance is 0.2F, a battery gives a constant voltage of E(t) = 60V, and the initial charge is Q(0) = 0C

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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E HE switch The figure above shows a circuit containing an electromotive force (a battery), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (). The voltage drop across the capacitor is Q/C, where is the charge (in coulombs), so in this case Kirchhoff's Law gives Since the current is I = = R dQ I dt we have R Find the charge and the current at time t. Q(t) = I(t) = RI+ dQ dt Q с = E(t). =-=-=-Q= •Q = E(t). Suppose the resistance is 20 , the capacitance is 0.2F, a battery gives a constant voltage of E(t) = 60V, and the initial charge is Q(0) = 0C
Transcribed Image Text:E HE switch The figure above shows a circuit containing an electromotive force (a battery), a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (). The voltage drop across the capacitor is Q/C, where is the charge (in coulombs), so in this case Kirchhoff's Law gives Since the current is I = = R dQ I dt we have R Find the charge and the current at time t. Q(t) = I(t) = RI+ dQ dt Q с = E(t). =-=-=-Q= •Q = E(t). Suppose the resistance is 20 , the capacitance is 0.2F, a battery gives a constant voltage of E(t) = 60V, and the initial charge is Q(0) = 0C
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