Suppose a battery with voltage V is connected 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 I across the capacitor decreases according to the following initial value problems. Solve each initial value problem and interpret the solution.

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a. I' (1) + 1(t) = 0,1(0) RC 1 b. Q'(1) + (1) RC Q(t) = H V V R R Q(0) Q(0) = 0 www R