Calculate the thevenin voltage relative to nodes a and b

Question

1.

Given f_s= 4.8kHz, Duty cycle (D) = 0.34 and Δ_i= 2.7A.
Q: If the above waveform is V_L in Figure 1, by sketching the waveform for i Calculate the mean value of [i]•

2.

Given I=2.8A, α = Π/4 and the ratio of Delta to star windings is 5

Q: Sketch an accurate waveform for i_AC and calculate the mean value of |i_AC|

3.

Given the ratio of Delta to Star windings = 19, I =7.2A and α = Π/5
Q: By sketching the waveform for i_AB in the above diagram determine its peak to peak value.

4.

Given the above waveform is V_L in the L-R circuit of Figure 1, α = 14V, L = 0.011 H and R=9Ω
Q: By sketching the waveform of i, find the value of current 0) at t=0.0067s.

5.

Given the above waveform is VL in the R-L circuit of Figure 1, a = 17V, L=0.005H and R=70
Q: By sketching the waveform of i Find the value of current (I) at t=0.012s.

6.

Given V_T = 11.4V, V_R3 = 1.3V, V_R2= 4.8V, and the Thevenin resistance R_T= 2.2Ω
Q: If an ideal shorting link was placed between A and B in the above circuit, calculate the current that would flow.

7.

(Given R₁= 19Ω, R₂,= 14Ω, R₃= 22Ω, and R₄= 25Ω).

Q: Calculate the Thevenin resistance R_T relative to A and B.

8.

(Assuming V_T= 50.5 volt, R₁= 9.8Ω, R₂= 8.1Ω, R₃= 2.2Ω, and R₄= 2.4Ω).

In the above circuit, Calculate the Thevenin voltage relative to nodes A and B.

9.

Given the above full bridge convertor operates in Bipolar Mode, V_d=156V, E=22V, l_o= 5.1 A

Q: Calculate the duty ratio D for the above circuit

Hint: use a sketch of V„ to check your answer

10.

Given the above full bridge convertor operates in Bipolar Mode, V_d = 169V, E=48V, I_o=2.7A, L=0.016H, f_s=5.5kHz, R is negligible.

Q: By Sketching the waveforms for V_AB and i_o, Calculate the value of Δi_o.

 

11.

Given the above full bridge convertor is operating in Bipolar mode. V_d =70V. E =30V. I_o=1.56A. L=0.0059H. f=2.9kHz. R is negligible

Q: By sketching V_AB and i_d Calculate the minimum value of i_d

12.

Given the above full bridge convertor is operating in Bipolar Mode. V_d = 137V. E = 19V. I_o=6.04A. L=0.0143H. f = 5.7kHz. R is negligible

Q: By Sketching V_AB and i_d Calculate the maximum value of i_o

13.

Given V_AB = 415V. I_d = 36.2A. Assume that the voltage across the load is ripple-free.

Q: Calculate the percentage total harmonic distortion in i_x.

14.

Given V_AB'' = 587 V . I_d= 14.7A. Assume that the voltage across the load is ripple-free.

Q: Calculate the peak value of the 23rd harmonic in i_A.

15.

Given a 12-Pulse rectifier with V_AB =440V and turns ratio 8:1

Q- Calculate the peak to peak value of the voltage across inductor 1