Electric circuits miscellaneous

Electric circuits miscellaneous

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Electric Circuits

Electric circuits miscellaneous
  1. In the figure given below, all phasors are with reference to the potential at point “O”. The locus of voltage phasor VYX as R is varied from zero to infinity is shown by









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    VYX = VX – VY
    = V – 0 for R = ∞
    = V – 2V for R = 0

    Correct Option: B


    VYX = VX – VY
    = V – 0 for R = ∞
    = V – 2V for R = 0

  1. A 3 V dc supply with an internal resistance of 2 Ω supplies a passive non-linear resistance characterized by the relation VNL = I2 NL. The power dissipated in the non-linear resistance is








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    Here, 3 = 2I + I2
    ⇒ I = 1A
    VNL = 1V
    ∴ Power = 1 × 1 = 1W

    Correct Option: A

    Here, 3 = 2I + I2
    ⇒ I = 1A
    VNL = 1V
    ∴ Power = 1 × 1 = 1W

  1. The matrix A given below is the node incidence matrix of a network. The columns correspond to branches of the network while the rows correspond to nodes.
    Let V = [v1 v2... v6]T denote the vector of branch voltages while I = [i1 i2... i6] T that of branch currents. The vector E = [e1 e2 e3 e4]T denotes the vector of node voltages relative to a common ground.

    Which of the following statements is true?








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    v1v2v3v4v5v6
    e1111000
    e20-10-110
    e3-1000-1-1
    e400-1101

    E = [e1 e2 e3 e4]T = AV

    Correct Option: C

    v1v2v3v4v5v6
    e1111000
    e20-10-110
    e3-1000-1-1
    e400-1101

    E = [e1 e2 e3 e4]T = AV

  1. In the figure given below, the current source is 1 ∠ 0 A, R = 1 Ω, the impedances are
    ZC = – jΩ
    and Z1 = 2j Ω.
    The Thevenin equivalent looking into the circuit across X-Y is









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    Zeq = 1 + (2j – j) = 1 + j = √2 ∠45°
    V = IZeq = (1 ∠ 0°)( √2 ∠ 45° ) = √2 ∠45°

    Correct Option: D

    Zeq = 1 + (2j – j) = 1 + j = √2 ∠45°
    V = IZeq = (1 ∠ 0°)( √2 ∠ 45° ) = √2 ∠45°

  1. The three limbed non ideal core shown in the figure given below has three windings with nominal inductances L each when measured individually with a single phase AC source. The inductance of the windings as connected will be









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    The inductance of all three coils are L and they are connected to same line carrying the same current and set up the flux in the same direction.

    All these fluxes when linked with each other they will balance each other. So their net flux will be very low. Thus net L will very low.

    Correct Option: A

    The inductance of all three coils are L and they are connected to same line carrying the same current and set up the flux in the same direction.

    All these fluxes when linked with each other they will balance each other. So their net flux will be very low. Thus net L will very low.