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. The wall socket of a typical home represents—








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    The wall socket of a typical home represents a practical voltage source. After plugging an appliance into a wall socket and flipping the on switch, a current flows through the electric circuitry of the appliance.

    Correct Option: B

    The wall socket of a typical home represents a practical voltage source. After plugging an appliance into a wall socket and flipping the on switch, a current flows through the electric circuitry of the appliance.

  1. The given symbol represents—










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    The given symbol represents an ideal battery. An ideal battery produces a constant voltage under all operating conditions i.e., regardless of current drawn from an attached circuit or circuit element.

    Correct Option: B

    The given symbol represents an ideal battery. An ideal battery produces a constant voltage under all operating conditions i.e., regardless of current drawn from an attached circuit or circuit element.

  1. In the circuit shown below, the voltage across 2Ω resistor is 20V. The 5Ω resistor connected between the terminals A and B can be replaced by an ideal—










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    Let the current I is flowing in 2Ω resistor

    From figure

    I2Ω =
    20
    		= 10A
    2

    Current in branch AB: By applying current divison rule.
    IAB = I2Ω ×
    5
    		= 10 ×
    5
    		= 5 A
    5 + 510

    The voltage across terminal A and B = IAB × RAB
    = 5 × 5 = 25 V
    Thus 5Ω resistor connected between the terminals A and B can be replaced by an ideal voltage source of 25V with positive terminal upward.

    Correct Option: A

    Let the current I is flowing in 2Ω resistor

    From figure

    I2Ω =
    20
    		= 10A
    2

    Current in branch AB: By applying current divison rule.
    IAB = I2Ω ×
    5
    		= 10 ×
    5
    		= 5 A
    5 + 510

    The voltage across terminal A and B = IAB × RAB
    = 5 × 5 = 25 V
    Thus 5Ω resistor connected between the terminals A and B can be replaced by an ideal voltage source of 25V with positive terminal upward.

  1. The current flowing through the voltage source in the below circuit is—










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    The given circuit

    By applying source transformation in 0.25 A current source, we get the equivalent circuit as shown below.

    V = IR = 0.25 × 4 = 1V (with positive terminal downward) Let the current I is flowing in 3V voltage source.
    3 + 1 = I.4

    or I =
    4
    		 = 1A
    4

    Correct Option: A

    The given circuit

    By applying source transformation in 0.25 A current source, we get the equivalent circuit as shown below.

    V = IR = 0.25 × 4 = 1V (with positive terminal downward) Let the current I is flowing in 3V voltage source.
    3 + 1 = I.4

    or I =
    4
    		 = 1A
    4

  1. The number of edges in a compete graph of n vertices is—








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    The number of edges in a complete graph of n

    vertices is
    n(n – 1)
    		.
    2

    Correct Option: B

    The number of edges in a complete graph of n

    vertices is
    n(n – 1)
    		.
    2