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E 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 Rohms (). The voltage drop across the capacitor is Q/C, where is the charge (in coulombs), so in this case Kirchhoff's Law gives с RI+ Since the current is I = dQ dt R- = + = dQ dt 1 I E(t). we have Q = E(t). Suppose the resistance is 202, the capacitance is 0.05F, a battery gives a constant voltage of E(t) = 50V, and the initial charge is Q(0) = 0C. Find the charge and the current at time t. Q(t) I(t) =

E 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 Rohms (). The voltage drop across the capacitor is Q/C, where is the charge (in coulombs), so in this case Kirchhoff's Law gives с RI+ Since the current is I = dQ dt R- = + = dQ dt 1 I E(t). we have Q = E(t). Suppose the resistance is 202, the capacitance is 0.05F, a battery gives a constant voltage of E(t) = 50V, and the initial charge is Q(0) = 0C. Find the charge and the current at time t. Q(t) I(t) =

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 C 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 Rohms (). The voltage drop across the capacitor is Q/C, where is the charge (in coulombs), so in this case Kirchhoff's Law gives RI+ Since the current is I = = dQ R + dt Q = dQ dt' 1 E(t). we have Q = E(t). Suppose the resistance is 202, the capacitance is 0.05F, a battery gives a constant voltage of E(t) = 50V, and the initial charge is Q(0) = 0C. Find the charge and the current at time t. Q(t) = I(t)
Transcribed Image Text:E C 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 Rohms (). The voltage drop across the capacitor is Q/C, where is the charge (in coulombs), so in this case Kirchhoff's Law gives RI+ Since the current is I = = dQ R + dt Q = dQ dt' 1 E(t). we have Q = E(t). Suppose the resistance is 202, the capacitance is 0.05F, a battery gives a constant voltage of E(t) = 50V, and the initial charge is Q(0) = 0C. Find the charge and the current at time t. Q(t) = I(t)
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