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Single-phase Controlled Rectifiers (Part 7)

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

The general equation of current  io(t)i_o\left(t\right)  in a controlled half-wave rectifier with inductive load is as follow:

 io(t)=VmZsin(ωtθ)+Aeωtωτ, for αωtβi_o\left(t\right)=\frac{V_m}{\left|Z\right|}\sin\left(\omega t-\theta\right)+Ae^{-\frac{\omega t}{\omega\tau}},\ for\ \alpha\le\omega t\le\beta  

a)

True

b)

False

2.

Find the extinction angle, β in radian and degree using these followings parameters:


Vs,RMS = 120 V ; f = 50 Hz ; α = 25⁰ ; R = 40 Ω ; L = 10 mH

a)

3.22 rad

b)

3.81 rad

c)

184.5⁰

d)

218.3⁰

3.

A controlled full-wave rectifier with inductive load always supply a continuous output current.

a)

True

b)

False

4.

Which parameters determine the operating condition of a controlled full-wave rectifier with inductive load?

a)

The extinction angle.

b)

The firing angle.

c)

The angle of load impedance.

d)

The magnitude of load impedance.

5.

The output current waveform of a controlled full-wave rectifier with large inductive load consists of DC and AC components.

a)

True

b)

False

6.

Choose the correct equation to determine the average output voltage,  VDCV_{DC}  of a controlled full-wave rectifier with these following parameters:

Vs,RMS = 120 V ; f = 50 Hz ; α = 25⁰ ; R = 25 Ω ; L = 15 mH.

a)

 2Vmπcos(α)\frac{2V_m}{\pi}\cos\left(\alpha\right)  

b)

 Vmπ[1+cos(α)]\frac{V_m}{\pi}\left[1+\cos\left(\alpha\right)\right]  

c)

 Vmπ[1cos(β)]\frac{V_m}{\pi}\left[1-\cos\left(\beta\right)\right]  

d)

 Vmπ[cos(α)cos(β)]\frac{V_m}{\pi}\left[\cos\left(\alpha\right)-\cos\left(\beta\right)\right]  

7.

Choose the correct equation to determine the average output voltage,  VDCV_{DC}  of a controlled full-wave rectifier with these following parameters:

Vs,RMS = 120 V ; f = 50 Hz ; α = 8⁰ ; R = 25 Ω ; L = 15 mH.

a)

 2Vmπcos(α)\frac{2V_m}{\pi}\cos\left(\alpha\right)  

b)

 Vmπ[1+cos(α)]\frac{V_m}{\pi}\left[1+\cos\left(\alpha\right)\right]  

c)

 Vmπ[1cos(β)]\frac{V_m}{\pi}\left[1-\cos\left(\beta\right)\right]  

d)

 Vmπ[cos(α)cos(β)]\frac{V_m}{\pi}\left[\cos\left(\alpha\right)-\cos\left(\beta\right)\right]  

8.

By considering the effects of source inductance, the voltage drop of both controlled and uncontrolled full-wave rectifiers is equal to each other.

a)

True

b)

False

9.

Find the commutation interval, μ if the firing angle is set to 35⁰.

a)

0.68⁰

b)

0.95⁰

c)

1.34⁰

d)

1.89⁰

10.

Calculate the average output voltage if the firing angle is set to 17.5⁰.

a)

58.72 V

b)

59.72 V

c)

83.86 V

d)

84.86 V