Network Elements and the Concept of Circuit

Network Elements and the Concept of Circuit

Easy Questions

Network Theory

Network Elements and the Concept of Circuit
Network theory miscellaneous

  1. For the network shown above, match List I (yparameter) with List II (Value) and select the correct answer using the code given below the Lists:
    List I (y-parameter)List II (Value)
    A. Y111. s + 1
    B. Y122. –1
    C. Y213. 1 + 1/s
    D. Y224. s








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    The given network.

    From above figure
    V1 = (I1 – Ia) s
    or V1 = I1 s – Ia s ....(i)
    Again V1 = Ia 1 + V2 ....(ii)
    and V1 = Ia 1 + (I2 + Ia) 1/s

    or V1 = 1 +
    1
    		Ia +
    I2
    		....(iii)
    ss

    From equation (ii)
    Ia = V1 – V2
    On putting the value of Ia in equation (i)
    V1 = I1 s – (V1 – V2) s

    or V1 =
    1 + s
    		V2 s ....(iv)
    s

    On comparing equation (iv) with standard equation
    I1 = V1 Y11 + V2 Y12, we get
    Y11 =
    1 + s
    		 ; Y12 = s
    s


    and V1=1 +
    1
    		V1 – V2 +
    I2
    ss

    I2 = s 1 – 1 –
    1
    		V1 + V21 +
    1
    		 s
    ss

    or I2 = – V1 + V2 (s + 1) ....(v)
    On comparing equation (v) with standard equation
    I2 = – V1 Y21 + V2 Y22, we get
    Y21 = – 1; Y22 = s + 1
    Hence alternative (C) is the correct choice.

    Correct Option: C

    The given network.

    From above figure
    V1 = (I1 – Ia) s
    or V1 = I1 s – Ia s ....(i)
    Again V1 = Ia 1 + V2 ....(ii)
    and V1 = Ia 1 + (I2 + Ia) 1/s

    or V1 = 1 +
    1
    		Ia +
    I2
    		....(iii)
    ss

    From equation (ii)
    Ia = V1 – V2
    On putting the value of Ia in equation (i)
    V1 = I1 s – (V1 – V2) s

    or V1 =
    1 + s
    		V2 s ....(iv)
    s

    On comparing equation (iv) with standard equation
    I1 = V1 Y11 + V2 Y12, we get
    Y11 =
    1 + s
    		 ; Y12 = s
    s


    and V1=1 +
    1
    		V1 – V2 +
    I2
    ss

    I2 = s 1 – 1 –
    1
    		V1 + V21 +
    1
    		 s
    ss

    or I2 = – V1 + V2 (s + 1) ....(v)
    On comparing equation (v) with standard equation
    I2 = – V1 Y21 + V2 Y22, we get
    Y21 = – 1; Y22 = s + 1
    Hence alternative (C) is the correct choice.

  1. Consider the following statements: Superposition theorem is applicable to a linear network in determining
    1. The current responses
    2. The voltage responses
    3. The power responses.
    Which of the statements given above are correct?








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    Superposition theorem is applicable to a linear network in determining the current responses and voltage responses and not power responses because power is a square of either voltage or current.
    Hence alternative (A) is the most appropriate choice.

    Correct Option: A

    Superposition theorem is applicable to a linear network in determining the current responses and voltage responses and not power responses because power is a square of either voltage or current.
    Hence alternative (A) is the most appropriate choice.

  1. If two identical 3 A, 4Ω Norton equivalent circuits are connected in parallel with like polarity, the combined Norton equivalent circuit will be—








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    Given,
    IN = 3A
    RN = 4Ω
    When the two identical Norton equivalent circuits are connected in parallel with like polarity then I'N = 3 + 3 = 6A
    and R'N = 4||4 = 2Ω.

    Correct Option: D

    Given,
    IN = 3A
    RN = 4Ω
    When the two identical Norton equivalent circuits are connected in parallel with like polarity then I'N = 3 + 3 = 6A
    and R'N = 4||4 = 2Ω.

  1. Consider the following statements: Network NA in figure (A) can be replaced by the network NB shown in figure (B) when Ic and Rc, respectively, are—








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    Using source transformation

    IC =
    10V
    		 = 10A
    1 Ω

    RC = 1 Ω

    Correct Option: B

    Using source transformation

    IC =
    10V
    		 = 10A
    1 Ω

    RC = 1 Ω

  1. For the circuit given above, what is the expression for the voltage V?








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    From given circuit

    iC = C
    dVC
    dt

    VC = iCR
    or    iCR − VC = 0
    or     CR
    dVC
    		−VC = 0
    dt

    Correct Option: C

    From given circuit

    iC = C
    dVC
    dt

    VC = iCR
    or    iCR − VC = 0
    or     CR
    dVC
    		−VC = 0
    dt