If: =12cos (2 120t - 90V ; = R + jX; = 10 k; = -j ; =500 + j10 ; = 500 - j9 . Assume that the 12V specified for the source amplitude corresponds to the rms voltage value.

 

4a) What is the value of the value of the angular frequency in this circuit? Specify the units Answer (1pt):

 

4b) What is the value of the Thevenin impedance of this circuit as seen from Z (i.e., consider as the load)

Answer (1 pt):

 

4c) What is the Thevenin voltage, , of this circuit as seen from ? (i.e., consider as the load)

Answer (1 pt):

The voltage across a 5 μF capacitor is known to be Vfort≥0 , where t is in seconds.

Part B

Find the power at the terminals of the capacitor when t = 185 μs .

Part D

Find the energy stored in the capacitor at t = 185 μs

Part E

Find the time when the maximum energy stored in the capacitor occurs.

Part F

Find the maximum energy stored in the capacitor

First Part

In the toroidal coil of the figure below the outer radius is equal to 5cm and the
internal with 4cm. The core is made of ferromagnetic material, the
coil has 400 + 13 coils and is leaked by a current of 0.3 A. The relative magnetic
permeability of ferromagnetic material is 2000.
1. Calculate the magnetic flux Φ in the core.
2. Calculate magnetic induction B.

Second Part

The toroidal coil itself is made of ferromagnetic material M1929, and the coil
it has 400 + 13 spirals.
1. How much current will need to pass through the coil in order to grow
magnetic flux equal to 0.12 mWb.
2. How much current will need to pass through the coil in order to grow
magnetic flux equal to 0.06 mWb.

Imagine that in part E8, you had placed the compass due East of the wire. Draw two vector diagrams of the magnetic field felt by this compass: One with the current OFF and one with the current ON. Each diagram should show the magnetic fields from any relevant sources as well as a vector indiacating the total magnetic field. For this problem, assume that the current flows upwards (in diagram it is out of page).