A certain voltage source provides a constant V = 7V. The circuit connected to the source draws an exponentially decaying current from the source given by i (t) = I,e-t/T mA, for t > 0, where I, = 584mA and T = 57ms. Assuming that i (t) = 0 for t < 0, at what point in time has the source provided 53mJ of energy? Express your answer in units of ms (milli-seconds).

In this circuit, the capacitance of the capacitor is 1 F, the resistance of the resistor is 1 Ohm, and the battery voltage = 1 V. When the switch is moved from a to b at time t=0, the amount of electric charge stored in the capacitor at t=1 second is approx.. .C.

The following is true in a circuit in DC steady state (select all that apply):   Question 4 options:   Capacitors behave as open circuits   Inductors behave as short circuits   All the voltage and current sources have values that are constant in time   All the voltages and currents in the circuit are constant in time   The circuit is not in the middle of any transitions from one state to another

4. The current through a 1 µF capacitor is shown below. At t = 0, the voltage is zero. Sketch the voltage, power, and stored energy to scale versus time. + v(t) o i(t) (a) C= 1 μF i(t) (mA) 20 -20- 2 3 (b) t (ms)