M-Derived T-Section MCQ’s

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This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “M-Derived T-Section”.

1. The value of Z2 in terms of Z1, Z2 from the circuits shown below is?

network-theory-questions-answers-m-derived-t-section-q1

a) Z2=Z2/4 m (1-m2)+Z2/m
b) Z2=Z1/4 m (1-m2)+Z1/m
c) Z2=Z2/4 m (1-m2)+Z1/m
d) Z2=Z1/4 m (1-m2)+Z2/m

2. The relation between Z and Z in the circuits shown below is?

network-theory-questions-answers-m-derived-t-section-q3

a) Z = 2 Z
b) Z = 4 Z
c) Z = Z
d) Z = 3 Z

3.The relation between ZoT and ZoT in the circuits shown below.

network-theory-questions-answers-m-derived-t-section-q1

a) ZoT = ZoT
b) ZoT = 2 ZoT
c) ZoT = 3 ZoT
d) ZoT = 4 ZoT

4. The value of Z1 in terms of Z1, Z2 from the circuits shown below is?

network-theory-questions-answers-m-derived-t-section-q3

a) Z1=(m Z2(Z2 4 m)/(1-m2))/m Z1(Z2 4 m/(1-m2))
b) Z1=(m Z1(Z2 4 m)/(1-m2))/m Z2(Z2 4 m/(1-m2))
c) Z1=(m Z1(Z2 4 m)/(1-m2))/m Z1(Z2 4 m/(1-m2))
d) Z1=(m Z1(Z2 4 m)/(1-m2))/m Z1(Z1 4 m/(1-m2))

5. The cut-off frequency of the low pass filter is?
a) 1/√LC
b) 1/(π√LC)
c) 1/√L
d) 1/(π√L)

6. The expression of m of the m-derived low pass filter is?
a) m=√(1+(fc/fr)2)
b) m=√(1+(fc/f)2)
c) m=√(1-(fc/fr)2)
d) m=√(1-(fc/f)2)

7. The value of resonant frequency in the m-derived low pass filter is?
a) fr=1/(√(LC(1+m2)))
b) fr=1/(√(πLC(1+m2)))
c) fr=1/(√(LC(1-m2)))
d) fr=1/(√(πLC(1-m2)))

8. The resonant frequency of m-derived low pass filter in terms of the cut-off frequency of low pass filter is?
a) fc/√(1-m2)
b) fc/√(1+m2)
c) fc/(π√(1-m2))
d) fc/(π√(1+m2))

9. Given a m-derived low pass filter has cut-off frequency 1 kHz, design impedance of 400Ω and the resonant frequency of 1100 Hz. Find the value of k.
a) 400
b) 1000
c) 1100
d) 2100

10. Given a m-derived low pass filter has cut-off frequency 1 kHz, design impedance of 400Ω and the resonant frequency of 1100 Hz. Find the value of m.
a) 0.216
b) 0.316
c) 0.416
d) 0.516

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