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 Find the charge and the current at time t. Q (t) I(t) = | R RI + dt + = 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 (0) = OC Q = E(t).
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 Find the charge and the current at time t. Q (t) I(t) = | R RI + dt + = 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 (0) = OC Q = E(t).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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
Transcribed Image Text:Since the current is I =
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
W
dQ
dt '
.
R
we have
RI+
Find the charge and the current at time t.
Q(t) =
I(t) =
dQ
dt
R-
Q
с
=
: 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
+ + Q = E(t).
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