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 (12). The voltage drop across the capacitor is Q/C, where Q is the charge (in coulombs), so in this case Kirchhoff's Law gives RI + 2 = E(t). Since the current is I = dQ dt R we have 1 dQ R- + ¡Q = E(t). dt Suppose the resistance is 30, the capacitance is 0.1F, a battery gives a constant voltage of E(t) = 60V, and the initial charge is Q(0) = OC. Find the charge and the current at time t. Q(t) = I(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 (12). The voltage drop across the capacitor is Q/C, where Q is the charge (in coulombs), so in this case Kirchhoff's Law gives RI + 2 = E(t). Since the current is I = dQ dt R we have 1 dQ R- + ¡Q = E(t). dt Suppose the resistance is 30, the capacitance is 0.1F, a battery gives a constant voltage of E(t) = 60V, and the initial charge is Q(0) = OC. Find the charge and the current at time t. Q(t) = I(t) =

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

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 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
= E(t).
Since the current is I
=
=
dQ
dt
R
-, we have
RI +
dQ 1
dt
R +
ㅎㅇ
Suppose the resistance is 30 , the capacitance is 0.1F, a battery gives a constant voltage of E(t) = 60V, and the initial charge is Q(0)
Find the charge and the current at time t.
= OC.
Q(t)
I(t)
¿Q = E(t).

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