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 (2) 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 + E(t). Since the current is I = we have dt Q=E(t). dt Suppose the resistance is 30 S2, the capacitance is 0.05F, a battery gives a constant voltage of E(t) Q(0) = 0C. Find the charge and the current at time t. 60V and the initial charge is Q(t) I(t) Note: You can earn gartial

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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 Q is the charge (in coulombs), so in this case
Kirchhoffs Law gives
RI
E(t).
Since the current is I
we have
dt
1
E(t).
Suppose the resistance is 30N, the capacitance is 0.05F, a battery gives a constant voltage of E(t)
Q(0) = 0C.
= 60V, and the initial charge is
Find the charge and the current at time t.
Q(t)
I(t) = |
Note: You can earn partial credit an this orohlom
Transcribed Image Text:R 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 Q is the charge (in coulombs), so in this case Kirchhoffs Law gives RI E(t). Since the current is I we have dt 1 E(t). Suppose the resistance is 30N, the capacitance is 0.05F, a battery gives a constant voltage of E(t) Q(0) = 0C. = 60V, and the initial charge is Find the charge and the current at time t. Q(t) I(t) = | Note: You can earn partial credit an this orohlom
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