Circuit analysis

The following circuit is left operating for a long time, until it reaches a DC steady state. (see diagram in the attached file) a) Determine the DC steady state values for i1, i2, and v3. b) Determine how much power the 24 V voltage source is supplying. c) Calculate how much energy is stored in the 4 micro farad capacitor, the 20 mH inductor and the 10 micro farad capacitor.

current and voltage expressions of capacitor and inductor

(See attached file for full problem description) --- Problem 2. Current through 1uF capacitor is given as i(t) = 4 cos (wt) where w corresponds to the frequency of 1 MHz. What is the expression for the voltage on the capacitor? Problem 3. The same current i(t) = 4 cos (wt), at the frequency of 1 MHz, is flowing through 1nH inductor. What is the expression for the voltage across the inductor?

Find phasor representation for the following sinusoidal variables.

(See attached file for full problem description) Problem 4. Find phasor representation for the following sinusoidal variables. Obtain the expression for the phasors in a+jb form. a. v1(t) = 10 cos (t +/4) b. i2(t) = 5 sin (t /4) c. i4(t) = 10 cos (t +/4) +5cos(t /4) d. v3(t) = 10 cos (t) + 10 sin (t)

Consider the simple circuit shown below

Problem 6. Consider the simple circuit shown below. The voltage source provides V1(t) = 100 cos t Volts . a) Define reference directions for voltages and currents. b) Write down a complete set of linearly independent equations for the phasor quantities in this circuit. c) Solve these equations to find the expressions for the phasors corresponding to the voltages across the resistor and the capacitor. d) Find the expressions for the real time dependent voltage across the capacitor. f) At what frequency of the AC source (in Hz) is the amplitude of the voltage across the capacitor (as measured by the probe) equal to 50 Volts. g) At the frequency found in part f. what is the phas... click for more

Nodal analysis

The first two pages attached is an example. The third page is the problem that needs done. Follow format of first two pages and solve for everything like shown on the first two pages for the problem on page three.