Suppose a circuit contains an electromotive force (a battery) that produces a voltage of E(t) volts(V), a capacitor with a capacitance of C' farads (F), and a resistor with a resistance of R ohms (N).is the charge (in coulombs), so in this caseThe voltage drop across the capacitor is whereQC'Kirchhoff's Law givesQRI+ =E(t).сSince I =dQR +dtdQdt1Qwe have the differential equation=E(t).Suppose the resistance R is 200, the capacitance C is 0.1F, a battery gives a constant voltage E of30V, and the initial charge is Q(0) = 0 coulombs.Find the charge Q(t) and the current I(t) at time t.Q(t) =I(t) =

We can solve this using differential equation

Answered: Suppose a circuit contains an…

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