Consider the RLC circuit shown below, where the initial current flowing through the circuit at time t=0 is I_0 = 5, and the initial charge on the capacitor at time t=0 is Q_0 = 2. The components have values of R = 100 ohms, L = 5H, and C = 1/450,500 F.  Write a differential equation for Q(t), the charge across the capacitor, assuming the voltage source V(t)=0

An uncharged capacitor and a resistor are connected in series to a source of emf. If Ɛ = 12.00 V, C = 15.0 µF, and R = 100 N, find the following: %3D (a) the time constant of the circuit S (b) the maximum charge on the capacitor (c) the charge on the capacitor after one time constant

In the circuit diagram R1 = 5R and R2 = 15R, where R = 14 Ω. The power dissipated in resistor 2 is P = 1.6 W.  Part (a)  What is the voltage across the battery in volts?  Part (b)  How much power, Ps, is the source supplying, in watts?

In an experiment, an initially uncharged capacitor of capacitance C=62µF (microFarad) is connected to a resistor R and a battery of voltage V as shown in the figure below: V(V) VT After the switch is closed at t=0, the voltage across the capacitor is measured and plotted as shown in the figure below. Using the data provided in the curve, determine the value of resistance R. Express your answer in units of using zero decimal places. 13- 12- 11 10- 9 8- 7- 6 5 4- 3 2 1- 0- 0 P 0.1 66****** 0.2 0.3 R www 0.4 0.5 C 0.6 t (s) 0.7 0.8 0.9 1 1.1 1.2 4