Capacitor and electric automobile

We want to store sufficient energy in a .01-F capacitor to supply 5-hp for 1 hour. To what voltage must the capacitor be charged? (1 hp=745.7 watts). Does this seem to be a practical method for storing this amount of energy? Do you think that an electric automobile based on capacitive energy storage is feasible?

Capacitance

The current through a 3-uF capacitance is shown in the attachment. At t=0, the voltage is v(0)=10v. Sketch the voltage, power, and stored energy to scale vs. time. In the sketch of each one, I need the equations worked out for each plot. (See attached file for full problem description)

Capacitance

Prior to t=0, a 100- uF capacitance is uncharged. Starting at t=0, the voltage across the capacitor is increased linearly with time to 100V in 2s. Then, the voltage remains constant at 100V. Sketch the voltage, current, power, and stored energy to scale versus time. Please show equations for the sketches.

Capacitance

Find the stored charge and energy for a 5-uF capacitor that is discharged to 1000V. If this capacitor is discharged to 0v in a time interval of 1us, find the averge power delivered by the capacitor during the discharge interval? I do not understand how to to find the answer for either part.

First order RC circuit

Attached is the problem...if you could help me understand it step by step and the graph as well please. thank you

LCR circuit

Attached is the problem. I need help with the general solution. I know how to get the constants. I am having trouble finding my k1 and k2 values for the problem and getting a general solution. (See attached file for full problem description)

Voltage divider

We want to design a voltage divider circuit to provide an output voltage Vo=5V from a 12V source as shown in the attachment problem, the current taken from the 12 V source is to be 100mA. Find values of R1 and R2.

Thevenin's Theorem

I would like some one to show me how to work out the Thevenin Equivalent Voltage for the attached file. I have only put in resistors in the file the actual problem has a capacitor, resistor and an inductor but I have already converted them to equivalent resistances and worked out the Thevenin Impedance for the circuit.

Solve DC electrical network problems

Require worked solutions to the attached questions, for self study.

Solve electrical network problems

I require worked solutions to the attached questions for self check purposes.