What are the steps in solving a circuit having a resistance, a source, and an inductance (or capacitance)?

Assuming that a nonzero ac voltage source is applied, state whether the power and reactive power are positive, negative, or zero for a. a resistance in series with an inductance; b. a resistance in series with a capacitance. (Assume that the resistances, inductance, and capacitance are nonzero and finite in value.)

A series circuit contains a resistor and a capacitor as shown in Figure 1. Suppose the capacitor in the circuit initially has zero charge and that there is no initial current. When the switch is at position B, the 10 Volt power supply energized the capacitor through the 250 № resistor, until fully charged, thus producing an output voltage E. At time t=2 seconds, the switch is thrown from position B to A, held there for 1 second, then switch back to B. (c) 10 V (d) 250 92 B Figure 1 10.³F (a) Write the differential equation for the charge q(t) of the circuit. (b) Given the forcing function is zero until t = 2, then has value 10 volts until t = 3, then is zero again, express E(t) in terms of unit step function and sketch the function E(t). Egut Find the charge on the capacitor using part (a) and (b). Use the Laplace transform method. What is the output voltage E(t) on the capacitor?

6. For a resistor, what resistance corresponds to a short circuit? For an uncharged capacitor, what value capacitance corresponds to a short circuit? Explain your answers. a. Repeat for an open circuit.

A 1,000-W electric motor is connected to a sourceof 120 Vms, 60 Hz, and the result is a lagging pf of 0.8.To correct the pf to 0.95 lagging, a capacitor is placedin parallel with the motor. Calculate the current drawnfrom the source with and without the capacitorconnected. Determine the value of the capacitorrequired to make the correction.

1. Passive voltage response to injected current step is not instantaneous, why not? Key words: time constant, resistance/capacitance properties

What is a dielectric material, and what does it do? a. What are 3 ways capacitance can be increased by changing the materials?