Complex coupled circuits

The circuit configuration chosen is that of a pair of tuned circuits which are coupled together and both primary and secondary are tuned to the same frequency. The primary has an inductance of 1 mH and the secondary has an inductance of 1.5 mH. The resistance of the primary is 10 ohms and the secondary 12 ohms. the secondary is ...continues

A second order system satisfies the attached differential equation:

A second order system satisfies the attached differential equation: Calculate the natural complete response Xn(t) of the system, provided that: a0 = 13; a1 = 4; x(0) = 1; dx(o)/dt = 4. See attached file for full problem description.

In the attached circuit, using nodal analysis, calculate the mesh current I1 in the phasor domain

In the attached circuit, using nodal analysis, calculate the mesh current I1 in the phasor domain. I am having large problems in understanding the phasor domain. Please show work to help aid my understanding.

For the attached circuit, calculate the Thevenin equivalent volatge at terminals a-b

For the attached circuit, calculate the Thevenin equivalent volatge at terminals a-b.

Using nodal analysis in the attached circuit, calculate mesh current in the phasor domain

Using nodal analysis calculate mesh current in the phasor domain (see attached file for the circuit). See attached file for full problem description.

In the attached circuit, find the current i(t) through the inductor

In the attached circuit, find the current i(t) through the inductor. See attached file for full problem description.

In the attached circuit, calculate i(t) using nodal analysis

In the attached circuit, calculate i(t) using nodal analysis. (See attached file for full problem description)

Calculate complex power in an inductive circuit

Calculate S, complex power of a load (in rectangular form), given the following data: magnitude of S = 600 VA; Q = 450 VAR (inductive). See attached file for full problem description.

Calculate voltage across a resistor using mesh analysis.

In the attached circuit, calculate Vo, the voltage at the 2 Ohm resistor. Results should be in the phasor domain. See attached file for full problem description.

Calculate the Thevenin equivalent resistance

Calculate the Thevenin equivalent resistance at terminals a-b for the attached circuit. (See attached file for full problem description)