RC circuit equation Suppose a battery with voltage V is con- nected in series to a capacitor (a charge storage device) with capacitance C'and a resistor with resistance R. As the charge Q in the capacitor increases, the current / across the capacitor decreases according to the following initial value problems. Solve each initial value problem and interpret the solution. Assume C, R, and V are given. V а. Г () + RC ;I(t) = 0, 1(0) R V b. Q'(t) + e1) = . Q(0) – 0 RC R V C:

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RC circuit equation Suppose a battery with voltage V is con-
nected in series to a capacitor (a charge storage device) with
capacitance C'and a resistor with resistance R. As the charge Q
in the capacitor increases, the current / across the capacitor
decreases according to the following initial value problems. Solve
each initial value problem and interpret the solution. Assume C, R,
and V are given.
V
а. Г () +
RC
;I(t) = 0, 1(0)
R
V
b. Q'(t) + e1) = . Q(0) – 0
RC
R
V
C:
Transcribed Image Text:RC circuit equation Suppose a battery with voltage V is con- nected in series to a capacitor (a charge storage device) with capacitance C'and a resistor with resistance R. As the charge Q in the capacitor increases, the current / across the capacitor decreases according to the following initial value problems. Solve each initial value problem and interpret the solution. Assume C, R, and V are given. V а. Г () + RC ;I(t) = 0, 1(0) R V b. Q'(t) + e1) = . Q(0) – 0 RC R V C:
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