Network Elements and the Concept of Circuit


Network Elements and the Concept of Circuit

Direction: Fig. shows the statement for given question.

  1. Current i at time t = 4 sec will be—









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    At t = 4 sec
    sources 30 u (t + 1) → exist and equals to 30 V 2 u (1 – t) → does not exist and equals to 0 amp Now, we will draw the equivalent circuit under this situation.

    The current I =
    30
    = 3 amp.
    10

    Correct Option: B

    At t = 4 sec
    sources 30 u (t + 1) → exist and equals to 30 V 2 u (1 – t) → does not exist and equals to 0 amp Now, we will draw the equivalent circuit under this situation.

    The current I =
    30
    = 3 amp.
    10


  1. Current i at t = 0.5 sec will be—









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    At t = 0.5 sec
    30 u (t + 1) → exist and equal to 30 V
    2 u (1 – t) → exist and equal to 2 amp.

    Now, we will draw the equivalent circuit under this situation we get this situation is same as the above question so,
    I = 5 amp.

    Correct Option: A

    At t = 0.5 sec
    30 u (t + 1) → exist and equal to 30 V
    2 u (1 – t) → exist and equal to 2 amp.

    Now, we will draw the equivalent circuit under this situation we get this situation is same as the above question so,
    I = 5 amp.



  1. Current i at t = – 0.5 sec will be—









  1. View Hint View Answer Discuss in Forum

    At t = – 0.5 sec
    source 30 u (t + 1) → exist and equal to 30V.
    2 u (1 – t) → exist and equal to 2 amp.
    Now, we will draw the equivalent circuit under this situation, we get

    By applying source transformation theorem, we get

    Now apply KVL to the loop, we get
    30 + 20 – 10 I = 0

    I =
    50
    = 5 amp.
    10

    Correct Option: C

    At t = – 0.5 sec
    source 30 u (t + 1) → exist and equal to 30V.
    2 u (1 – t) → exist and equal to 2 amp.
    Now, we will draw the equivalent circuit under this situation, we get

    By applying source transformation theorem, we get

    Now apply KVL to the loop, we get
    30 + 20 – 10 I = 0

    I =
    50
    = 5 amp.
    10


  1. Find the current i at time t = – 2 sec—









  1. View Hint View Answer Discuss in Forum

    At t = – 2 sec
    source 30 u (t + 1) → does not exist and equal to 0 V 2 u (1 – t) → exist, and equal to 2 amp the equivalent circuit becomes

    Now, apply superposition theorem, we conclude that only 20 V source is responsible for current I.

    So, I =
    20
    = 2 amp
    10

    Correct Option: A

    At t = – 2 sec
    source 30 u (t + 1) → does not exist and equal to 0 V 2 u (1 – t) → exist, and equal to 2 amp the equivalent circuit becomes

    Now, apply superposition theorem, we conclude that only 20 V source is responsible for current I.

    So, I =
    20
    = 2 amp
    10



  1. The maximum energy in the given circuit will be—











  1. View Hint View Answer Discuss in Forum

    Maximum energy in the circuit =
    1
    Li 2
    2

    = 1x 3 x 12 sin πt 6
    26

    = 144 x 3sin2 πt
    26

    Emax. =
    144 x 3
    = 216 joule
    2

    Correct Option: C

    Maximum energy in the circuit =
    1
    Li 2
    2

    = 1x 3 x 12 sin πt 6
    26

    = 144 x 3sin2 πt
    26

    Emax. =
    144 x 3
    = 216 joule
    2