For the circuit shown r 10 omega xl 40 omeganbsp es 75

Question

Q1) Convert the following sources to the equivalent voltage or current source. Label the transformed sources and resistors with values.

Q2) Use mesh analysis to find the current through the 10-ohm resistor in the circuit shown. All resistor values are in ohms.

Q3) Find the nodal voltages labeled on the circuit shown.

Q4) For the bridge circuit shown

a) Determine if the circuit is balanced.  Show equations to support your answer.

b) Using delta-wye transforms, find the equivalent resistance that the voltage source sees.

Q5)  a) Find the total impedance of the circuit shown?

b) Find the total admittance of the circuit shown?

c) Find the voltage V₁ and the current I₂? 

Q6) Find the current through the capacitor in the ladder circuit shown.

Q7) For the circuit shown: R =10 Ω, X_L = 40 Ω,  E_s = 75 mVπ₀ rms.

a) Find the value of X_c at resonance.

b) Determine the total impedance at resonance.

c) Find the magnitude of the current I_s at resonance.

d) Compute the quality factor of the circuit.

e) If the resonant frequency is 800 Hz, find the values of L and C for the circuit given the values of X_L and X_C from above.

Q8) For the circuit shown below:

a) name the type of filter the circuit implements  

b) compute the cut-off frequency, f_c

c) compute the gain in db of the circuit at 0.5f_c and 5f_c

d) compute the phase shift of the circuit at 0.5f_c and 5f_c

 R = 10 kΩ            C = 0.15 μF