Question da( t) a(t)-Ce Review Integrate both sides of the equation to obtain an expression for q(t) RC earning Goal o understand the dynamics of a series R-C circuit. Express your answer in terms of any or all of E, R, t, and C. Enter exp(x) for e View Available Hint(s) onsider a series circuit containing a resistor of sistance R and a capacitor of capacitance C onnected to a source of EMF & with negligible internal sistance. The wires are also assumed to have zero sistance. Initially, the switch is open and the capacitor ischarged. (Figure 1) q(t) ure 1 of 2 Submit Part l Now differentiate q(t) to obtain an expression for the current I(t) Express your answer in terms of any or all of , R, t, and C. Enter exp(x) for e С 90-0 I(t) Submit Request Answer Find the time t2 that it would take the charge of the capacitor to reach 99.99% of its maximum value given that R-12.0 C = 500 μF and Express your answer numerically in seconds. Use three significant figures in your answer. View Available Hint(s) t2 = Submit Let us now consider a different R-C circuit. This time, the capacitor is initially charged (q(0) ), and there is no source of EMF in the circuit. (Figure 2)We will assume that the top plate of the capacitor initially holds positive charge. For this circuit, Kirchhoff's loop rule gives IR+ 옹-0, or equivalently, IR--c Part K Find the current I(t) as a function of time for this circuit. Express your answer in terms of go, C, t, and R. Enter exp(x) for e" View Available Hint(s)

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