Consider an electric circuit containing a capacitor, resistor, and battery; see the figure. The charge Q(t) on the capacitor satisfies the R OP Q equation R V, where R is the dt C resistance, C is the capacitance, and V is the constant voltage supplied by the battery. C a) If Q(0) = 0, find Q(t) at any time t, and sketch the graph of Q versus t. Q(t): %3D b) Find the limiting value QL that Q(t) approaches after a long time. The limiting value QL that Q(t) approaches after a long time is QL c) Suppose that Q(tı) = QL and that at time t = tị the battery is removed and the circuit is closed again. Find Q(t) for t > tį and sketch its graph. Q(t) =
Consider an electric circuit containing a capacitor, resistor, and battery; see the figure. The charge Q(t) on the capacitor satisfies the R OP Q equation R V, where R is the dt C resistance, C is the capacitance, and V is the constant voltage supplied by the battery. C a) If Q(0) = 0, find Q(t) at any time t, and sketch the graph of Q versus t. Q(t): %3D b) Find the limiting value QL that Q(t) approaches after a long time. The limiting value QL that Q(t) approaches after a long time is QL c) Suppose that Q(tı) = QL and that at time t = tị the battery is removed and the circuit is closed again. Find Q(t) for t > tį and sketch its graph. Q(t) =
Chapter9: Current And Resistance
Section: Chapter Questions
Problem 84CP: In this chapter, most examples and problems involved direct current (DC). DC circuits have the...
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