(10 points) E 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 (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). do Since the current is I = , We have dt + Q = E(t). dt Suppose the resistance is 30 2, the capacitance is 0.2F, a battery gives a constant voltage of E(t) = 50V, and the initial charge is Q(0) = OC. Find the charge and the current at time t. Q(t) = I(t) =