ECE 1131 MidTrem_semII-2006-2007

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    INTERNATIONAL ISLAMIC UNIVERSITY MALAYSIAMIDTE RM EXAMINATION

    SEMESTER II , 2006/ 2007 SESSION KULLIYYAH OF ENGINEERING

    Programme : ENGINEERING Level of Study : UG 1

    Time : 8:00 pm-10:00 pm Date : 02/02/2007

    Duration : 2 Hrs

    Course Code : ECE 1131 Section(s) : ALL

    Course Title : Electric Circuits

    This Question Paper Consists of Eight (8) Printed Pages (Including Cover Page) WithFour (4) Questions.

    INSTRUCTION(S) TO CANDIDATESDO NOT OPEN UNTIL YOU ARE ASKED TO DO SO

    A total mark of this examination is 60.

    This examination is worth 30% of the total assessment.

    Use only pen for writing answer. Do not use your own sheet.

    For drawing you may use pencil

    Answer ALL FOUR (4) questions.

    Any form of cheating or attempt to cheat is a seriousoffence which may lead to dismissal.

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    Q.1 [15 marks](a) The charge flowing in a wire is plotted in Fig. 1 (a). Sketch the corresponding

    current. (7 marks)

    (b) The current flowing through an element ist

    ei210 = mA. Calculate the total

    charge flowing through the element from t=0 to t=6 s. The initial charge at t=0 s

    is mC2)0( =q . (8 marks)

    Fig. 1(a)

    0 2 4 6 8 10 12 140

    20

    40

    60

    80

    q(mC)

    t (ms)

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    Q.2 [15 marks](a) Find the equivalent resistances between two terminals for the circuits shown in

    Fig. 2(a). (8 marks)

    Fig. 2(a)

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    (b) Using the current division rule, calculate all the currents show in the circuit Fig.2(b). (8 marks)

    Fig. 2 (b)

    2 ? 3 ? 4 ?

    5 ?4 ?

    3 ?

    6 ?12 A

    I1 I2

    I3

    I4

    I5

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    Q.3 [15 marks]

    (a) Calculate V1 using nodal analysis of circuit shown in Fig. 3(a).. Find v0 and alsocalculate power supplied by 30mV source and power absorbed by 1k? , 2 k? and5 k? resistors. (7 marks)

    Fig. 3(a)

    V1+

    -

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    (b) Find I1 and I2 in the circuit of Fig. 3(b) using mesh analysis. Hence calculate V1and V2 using I1 and I2. (8 marks)

    Fig. 3(b)

    5 ?6 ?

    5?10 ?

    10 V

    15 VI1

    I2

    +

    -

    V1

    +

    -

    V2

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    Q.4 [15 marks](a) Using the superposition principle, find the voltage Vo in the circuit shown in Fig.

    4(a). Using that value find I1, I2 and I3. Also calculate V1 and V2. (9 marks)

    Fig. 4 (a)

    2 ? 4 ?

    8 ?

    +

    -

    VoI1

    I2

    I3

    + V1 - + V2 -

    5 V 3 V

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    (b) For the circuit shown in Fig. 4(b), find I by using source transformations.(6 marks)

    Fig. 4(b)

    5?

    5?

    4 ?

    10 ?

    2 A

    I

    20 V

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    (b) Find the Thevnin and Norton equivalent circuits between terminals a-b of thecircuit shown in Fig. 4(b) (10 marks)

    Fig. 4(b)

    10 V

    10 ? 6 ?

    4 ?

    5 ?

    a

    b