## Network Theory MCQ Set 1

1. The value of attenuation D is equal to?

a) log_{10} (N)

b) 10 log_{10} (N)

c) 20 log_{10} (N)

d) 40 log_{10} (N)

### View Answer

_{10}(N). Attenuation D = log

_{10}(N) where N is input to output power ratio of the load.

2. The value of N in terms of attenuation D is?

a) antilog(D)

b) antilog(D/10)

c) antilog(D/20)

d) antilog(D/40)

### View Answer

3. The input to output power ratio of the load (N) is the ratio of the________ to the __________

a) Maximum power delivered to the load when the equalizer is not present, power delivered to the load when equalizer is present

b) Power delivered to the load when equalizer is present, maximum power delivered to the load when the equalizer is not present

c) Maximum power delivered to the load when the equalizer is present, power delivered to the load when equalizer is not present

d) Power delivered to the load when equalizer is not present, maximum power delivered to the load when the equalizer is present

### View Answer

4. The N is defined as?

a) output power/ input power

b) input power/ output power

c) output power at inductor/ input power

d) output power at capacitor/ input power

### View Answer

_{i}/P

_{l}where P

_{i}is input power and P

_{l}is output power.

5. The expression of input power of a series equalizer is?

a) V_{max}^{2}/R_{o}

b) V_{max}^{2}/2R_{o}

c) V_{max}^{2}/3R_{o}

d) V_{max}^{2}/4R_{o}

### View Answer

_{i}=(V

_{max}/2R

_{o})

^{2}R

_{o}=V

_{max}

^{2}/4R

_{o}.

6. The expression of current flowing in a series equalizer is?

a) V_{max}/√((R_{o})^{2}+(X_{1})^{2})

b) V_{max}/√((2R_{o})^{2}+(X_{1})^{2} )

c) V_{max}/√((2R_{o})^{2}+(2X_{1})^{2} )

d) V_{max}/√((R_{o})^{2}+(2X_{1})^{2} )

### View Answer

_{1}= V

_{max}/√((2R

_{o})

^{2}+(2X

_{1})

^{2}) where V

_{max}is voltage applied to the network and R

_{o}is resistance of the load as well as source and 2X

_{1}is the reactance of the equalizer.

7. What is the power at the load of a series equalizer?

a) [ V_{max}^{2}/(R_{o}^{2}+X_{1}^{2} )]R_{o}

b) [ V_{max}^{2}/(2(R_{o}^{2}+X_{1}^{2}))]R_{o}

c) [ V_{max}^{2}/(3(R_{o}^{2}+X_{1}^{2}))]R_{o}

d) [ V_{max}^{2}/(4(R_{o}^{2}+X_{1}^{2}))]R_{o}

### View Answer

_{max}/√((2R

_{o})

^{2}+(2X

_{1})

^{2}))

^{2}R

_{o}=[V

_{max}

^{2}/(4(R

_{o}

^{2}+X

_{1}

^{2}))]R

_{o}.

8. Determine the value of N in the series equalizer.

a) 1+ X_{1}^{2}/R_{o}^{2}

b) X_{1}^{2}/R_{o}^{2}

c) 1+ R_{o}^{2}/X_{1}^{2}

d) R_{o}^{2}/X_{1}^{2}

### View Answer

_{i}/P

_{l}=(V

_{max}

^{2}/4R

_{o})/[V

_{max}

^{2}/(4(R

_{o}

^{2}+X

_{1}

^{2}))]R

_{o}=1+X

_{1}

^{2}/R

_{o}

^{2}.

9. The expression of N in a full series equalizer considering Z_{1} as inductor and Z_{2} as capacitor is?

a) R_{o}^{2}/(ωL_{1})^{2}

b) 1+ R_{o}^{2}/(ωL_{1})^{2}

c) (ω^{2} L_{1}^{2})/R_{o}^{2}

d) 1+ (ω^{2} L_{1}^{2})/R_{o}^{2}

### View Answer

_{1}as inductor and Z

_{2}as capacitor is N = 1 + X

_{1}

^{2}/R

_{o}

^{2}= 1+ (ω

^{2}L

_{1}

^{2})/R

_{o}

^{2}.

10. The expression of N in a full series equalizer considering Z_{1} as capacitor and Z_{2} as inductor is?

a) 1+ (ω^{2} L_{1}^{2})/R_{o}^{2}

b) (ω^{2} L_{1}^{2})/R_{o}^{2}

c) 1+ R_{o}^{2}/(ωL_{1})^{2}

d) R_{o}^{2}/(ωL_{1})^{2}

### View Answer

_{1}as capacitor and Z

_{2}as inductor is N = 1+ R

_{o}

^{2}/X

_{2}

^{2}= 1+R

_{o}

^{2}/(ωL

_{1})

^{2}.

## Network Theory MCQ Set 2

1. In the shunt equalizer, the current flowing from the source is?

a) V_{max}(2R_{o}+jX_{1})/2R_{o}(R_{o}+jX_{1})

b) V_{max}(R_{o}+jX_{1})/R_{o}(R_{o}+jX_{1})

c) V_{max}(R_{o}+jX_{1})/2R_{o}(R_{o}+jX_{1})

d) V_{max}(2R_{o}+jX_{1})/R_{o}(R_{o}+jX_{1})

### View Answer

_{s}= V

_{max}/(R

_{o}+(R

_{o}||jX

_{1}/2)). On solving, I

_{s}= V

_{max}(2R

_{o}+jX

_{1})/2R

_{o}(R

_{o}+jX

_{1}) .

2. What is the load current in terms of source current in the shunt equalizer?

a) I_{s} jX_{1}/(R_{o}+jX_{1})

b) I_{s} jX_{1}/(R_{o}+2jX_{1})

c) I_{s} jX_{1}/(2R_{o}+2jX_{1})

d) I_{s} jX_{1}/(2R_{o}+jX_{1})

### View Answer

_{l}= I

_{s}(jX

_{1}/2)/(R

_{o}+jX

_{1}/2)). On solving, I

_{l}= I

_{s}jX

_{1}/(2R

_{o}+jX

_{1}).

3. What is the load current in terms of V_{max} in the shunt equalizer?

a) (V_{max}jX_{1})/(R_{o}(2R_{o}+jX_{1}))

b) (V_{max}jX_{1})/(2R_{o}(2R_{o}+jX_{1}))

c) (V_{max}jX_{1})/(2R_{o}(R_{o}+jX_{1}))

d) (V_{max}jX_{1})/(R_{o}(R_{o}+jX_{1}))

### View Answer

_{s}in the load current equation we get the load current in terms of V

_{max}in the shunt equalizer as I

_{l}= (V

_{max}jX

_{1})/(2R

_{o}(R

_{o}+jX

_{1})).

4. The input power in shunt equalizer is?

a) V_{max}^{2}/R_{o}

b) V_{max}^{2}/2R_{o}

c) V_{max}^{2}/3R_{o}

d) V_{max}^{2}/4R_{o}

### View Answer

_{i}=(V

_{max}/2R

_{o})

^{2}R

_{o}=V

_{max}

^{2}/4R

_{o}.

5. What is the power at the load of a shunt equalizer?

a) [ (V_{max}^{2} X_{1}^{2})/(R_{o}(R_{o}^{2}+X_{1}^{2}))].

b) [ (V_{max}^{2} X_{1}^{2})/(2R_{o}(R_{o}^{2}+X_{1}^{2}))].

c) [ (V_{max}^{2} X_{1}^{2})/(3R_{o}(R_{o}^{2}+X_{1}^{2}))].

d) [ (V_{max}^{2} X_{1}^{2})/(4R_{o}(R_{o}^{2}+X_{1}^{2}))].

### View Answer

_{max}jX

_{1})/(2R

_{o}(R

_{o}+jX

_{1})))

^{2}R

_{o}=[(V

_{max}

^{2}X

_{1}

^{2})/(4R

_{o}(R

_{o}

^{2}+X

_{1}

^{2}))].

6. The value of N in shunt equalizer is?

a) 1+ X_{1}^{2}/R_{o}^{2}

b) X_{1}^{2}/R_{o}^{2}

c) 1+ R_{o}^{2}/X_{1}^{2}

d) R_{o}^{2}/X_{1}^{2}

### View Answer

_{i}/P

_{l}=(V

_{max}

^{2}/4R

_{o})/( (V

_{max}

^{2}X

_{1}

^{2})/4R

_{o}(R

_{o}

^{2}+X

_{1}

^{2}) )=1+ R

_{o}

^{2}/X

_{1}

^{2}.

7. The propagation constant of a symmetrical T-section and π-section are the same.

a) True

b) False

### View Answer

8. The attenuation is not sharp in the stop band for an m-derived filter.

a) True

b) False

### View Answer

9. The bridged-T phase equalizer consists of?

a) Only pure inductors

b) Only pure capacitors

c) Only pure resistors

d) Only pure reactance

### View Answer

10. A lattice phase equalizer is a constant equalizer which satisfies the equation?

a) Z_{1}Z_{2} = R_{o}

b) Z_{1} + Z_{2} = R_{o}

c) 1/Z_{1}+1/Z_{2}=R_{o}

d) Z_{1}Z_{2} = R_{o}^{2}

### View Answer

_{1}Z

_{2}= R

_{o}

^{2}.

## Network Theory MCQ Set 3

1. Consider the impedance functionZ(s)=( s^{2}+6s+8)/( s^{2}+3s). Find the value of R_{1} after performing the first Cauer form.

a) 1

b) 2

c) 3

d) 4

### View Answer

_{1}= 1Ω.

2. Find the first reminder obtained by taking the continued fraction expansion in question 1.

a) s + 8

b) 2s + 8

c) 3s + 8

d) 4s + 8

### View Answer

3. Find the value of R_{2} in question 1.

a) 4

b) 3

c) 6

d) 9

### View Answer

_{2}is 9Ω. R

_{2}= 9Ω.

4. The value of C_{1} in question 1 is?

a) 1/4

b) 1/3

c) 1/2

d) 1

### View Answer

_{1}is 1/3 F. C

_{1}= 1/3 F.

5. The value of C_{2} in question 1 is?

a) 1/6

b) 1/12

c) 1/24

d) 1/48

### View Answer

_{2}is 1/24 F. C

_{2}= 1/24 F.

6. Consider the impedance function Z(s)=( s^{2}+6s+8)/( s^{2}+3s). Find the value of C_{1} after performing the second Cauer form.

a) 1/2

b) 3/8

c) 1/4

d) 1/8

### View Answer

_{1}= 3/8 F.

7. Find the first reminder obtained by taking the continued fraction expansion in question 6.

a) 10s/3+s^{2}

b) s/3+s^{2}

c) 10s/3+3s^{2}

d) s/3+3s^{2}

### View Answer

^{2}.

8. The value of R_{1} in question 6 is?

a) 9/10

b) 10/9

c) 8/9

d) 9/8

### View Answer

_{1}. So the value of R

_{1}is 10/9Ω. R

_{1}= 10/9Ω.

9. The value of C_{2} in question 6 is?

a) 3

b) 3/10

c) 3/100

d) 3/1000

### View Answer

_{2}is 3/100 F. C

_{2}= 3/100 F.

10. The value of R_{1} in question 6 is?

a) 10

b) 1

c) 100

d) 1000

### View Answer

_{1}is 1/1/10.So the value of R

_{1}is 10Ω. R

_{1}= 10Ω.

## Network Theory MCQ Set 4

1. The driving point impedance of a one-port reactive network is given by Z(s)=5(s^{2}+4)(s^{2}+25)/s(s^{2}+16) . After taking the partial fractions, find the coefficient of 1/s.

a) 25/4

b) 50/4

c) 100/4

d) 125/4

### View Answer

^{2}+4)(s

^{2}+25)/((s

^{2}+16) ) |s=0 =(5×4×25)/16=125/4.

2. In question 1, find the coefficient of (s + j4).

a) 135/4

b) 145/4

c) 155/4

d) 165/4

### View Answer

^{2}+4)(s

^{2}+25)/s(s-j4) |s=-j4 = 135/8.

3. The value of H from Z (s) in question 1 is?

a) 3

b) 4

c) 5

d) 6

### View Answer

4. The value of C_{0} from the information provided in question 1 is?

a) 1/125

b) 4/125

c) 2/125

d) 3/125

### View Answer

_{0}=1/P

_{0}= 1/(125/4)=4/125 Farad.

5. The value of L_{∞} in question 1 is?

a) 2

b) 3

c) 4

d) 5

### View Answer

_{∞}= H = 5 H.

6. The value of C_{2} from the information provided in question 1 is?

a) 4/270

b) 8/270

c) 12/270

d) 16/270

### View Answer

_{2}= 1/2P

_{2}= 8/(2×135)=8/270 F.

7. The value of L_{2} from the information provided in question 1 is?

a) 135/60

b) 135/62

c) 135/64

d) 135/66

### View Answer

_{2}= 2P

_{2}/ω

_{n}

^{2}= (2×135)/(16×8)=135/64 H.

8. For performing second Foster form, after splitting the Z (S) given in question 1 into partial fractions, the coefficient of s/((s^{2}+4)) is?

a) 1/35

b) 2/35

c) 3/35

d) 4/35

### View Answer

^{2}+16)))/(s-j2)(s

^{2}+25) at s=-j2 On solving we get the value of A as 2/35. So the coefficient of s/((s

^{2}+4)) is 2/35.

9. In question 8, the coefficient of s/((s^{2}+4) ) is?

a) 4/35

b) 3/35

c) 2/35

d) 1/35

### View Answer

^{2}+4) ) is B=(1/5)((s(s

^{2}+16) ))/(s-j5)(s

^{2}+4) at s=-j5. On solving we get B = 2/35.

10. Determine the value of L_{1} by performing second foster form for question 1.

a) 35/4

b) 35/3

c) 35/2

d) 35

### View Answer

_{1}= 2/35. We know L

_{1}= 1/2P

_{1}= 35/4 H.

## Network Theory MCQ Set 5

1. Consider the impedance function; Z(s)=((s+4)(s+8))/((s+2)(s+6)) . Find the value of R_{1} after converting into first Cauer form.

a) 1

b) 2

c) 3

d) 4

### View Answer

_{1}as 1Ω.

2. Find the value of L_{2} in question 1.

a) 1

b) 1/2

c) 1/4

d) 1/8

### View Answer

_{2}is ¼ H. L

_{2}= ¼ H.

3. Find the value of R_{2} in question 1.

a) 1/4

b) 2/4

c) 3/4

d) 4/4

### View Answer

_{2}. So the value of R

_{2}is ¾Ω . R

_{2}= ¾Ω .

4. Find the value of L_{3} in question 1.

a) 4/3

b) 3/4

c) 4/5

d) 5/4

### View Answer

_{3}. So the value of L

_{3}is ¾ H. L

_{3}= ¾ H.

5. Find the value of R_{3} in question 1.

a) 4

b) 3

c) 2

d) 1

### View Answer

_{3}(fourth quotient) obtained by continued fraction expansion 1/3. So the value of R

_{3}is 3Ω.

6. Consider the impedance function; Z(s)=(2s^{2}+8s+6)/( s^{2}+8s+12). Find the value of R_{1} after converting into second Cauer form.

a) 1

b) 3/4

c) 1/2

d) 1/4

### View Answer

_{1}as ½ Ω.

7. Find the value of L_{1} in question 6.

a) 1/3

b) 2/3

c) 3/3

d) 4/3

### View Answer

_{1}. So the value of L

_{1}is 1/3 H. L

_{1}= 1/3 H.

8. Find the value of R_{2} in question 6.

a) 6/7

b) 7/6

c) 7/8

d) 8/7

### View Answer

_{2}is 8/7Ω. R

_{2}= 8/7Ω.

9. Find the value of L_{2} in question 6.

a) 5/50

b) 10

c) 5/49

d) 49/5

### View Answer

_{2}as 49/5s. So the value of L

_{2}is 5/49 H. L

_{2}= 5/49H.

10. Find the value of R_{3} in question 6.

a) 1/5

b) 14/5

c) 5/14

d) 5

### View Answer

_{3}is 14/5Ω as the fifth quotient obtained is 5/14. R

_{3}= 5/14Ω.

## Network Theory MCQ Set 6

1. Consider a function Z(s)=5(s+1)(s+4)/(s+3)(s+5) . Find the value of R_{1} after performing the first form of Foster method.

a) 1/3

b) 2/3

c) 3/3

d) 4/3

### View Answer

_{1}= 4/3Ω.

2. The value of R_{1} in the question 1 is?

a) 4/3

b) 5/3

c) 3/5

d) 3/4

### View Answer

_{1}as 5/3 and we know R

_{1}=R

_{1}. So the value of R

_{1}is 5/3Ω. R

_{1}= 5/3Ω.

3. The value of L_{1} in the question 1 is?

a) 5/9

b) 9/5

c) 4/9

d) 9/4

### View Answer

_{1}=(3)(L

_{1}) and as R

_{1}is 5/3Ω. So the value of L

_{1}is 5/9 H. L

_{1}= 5/9 H.

4. The value of R_{2} in the question 1 is?

a) 1

b) 2

c) 3

d) 4

### View Answer

_{2}as 2. R

_{2}=P

_{2}. So the value of R

_{2}is 2Ω. R

_{2}= 2Ω.

5. The value of L_{2} in the question 1 is?

a) 4/5

b) 3/5

c) 2/5

d) 1/5

### View Answer

_{2}=(5)(L

_{2}) So the value of L

_{2}is 2/5 H. L

_{2}= 2/5 H.

6. Consider the admittance function, Y(s)=((2s^{2}+16s+30))/( s^{2}+6s+8). Determine the value of L_{1} after performing the second form of Foster method.

a) 1/3

b) 2/3

c) 3/3

d) 4/3

### View Answer

_{1}=1/P

_{1}and as P

_{1}= 3, the value of L

_{1}is 1/3H. L

_{1}= 1/3H.

7. The value of R_{1} in the question 6 is?

a) 4/3

b) 3/3

c) 2/3

d) 1/3

### View Answer

_{1}= 2/P

_{1}and as P

_{1}is 3, the value of R

_{1}is 2/3Ω. R

_{1}= 2/3Ω.

8. The value of R_{2} in the question 6 is?

a) 1

b) 2

c) 3

d) 4

### View Answer

_{2}as 1. And we know R

_{2}= 4/P

_{2}. So the value of R

_{2}is 4Ω. R

_{2}= 4Ω.

9. The value of L_{2} in the question 6 is?

a) 4

b) 1

c) 2

d) 3

### View Answer

_{2}= 1 And L

_{2}=1/P

_{2}So the value of L

_{2}is 1H. L

_{2}= 1H.

10. The value of R_{∞} in the question 6 is?

a) 3

b) 1

c) 2

d) 4

### View Answer

_{∞}is 2Ω. R

_{∞}= 2Ω.