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ECE - Practice Test - 27

Q1:

The response of an initially relaxed system to a unit ramp excitation is (t+e−t). Its step response will be

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Network Theory
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Q2:

The circuit shown in the figure is in steady state, when the switch is closed at t = 0. Assuming that the inductance is ideal, the current through the inductor at t = 0+ equals

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Q3:

In the circuit shown in figure, the switch S is closed at time (t = 0). The voltage across the inductor at t = 0+, is

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Network Theory
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Q4:

In the following circuit, i(t) under steady state is

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Baseline3_ECE_2Yr
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Network Theory
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Q5:

Determine RL and RC that causes the circuit to be resonant at all frequencies for the circuit shown in the fig.

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Q6:

Determine all the currents in the circuit shown in fig.

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Q7:

Two magnetically uncoupled inductive coils have Q-factors q1 and q2 at the chosen operating frequency. Their respective resistances are R1 and R2. When connected in series, their effective Q factor at the same operating frequeny is

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Q8:

The following circuit shown in the figure resonates at

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Q9:

Figure shows a dc resistive network and its graph is drawn aside. A ‘proper tree’ chosen for analyzing the network will not contain the edges:

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Network Theory
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Q10:

A network N consists of resistors, independent voltage and current sources. The value of its determinant based on the loop analysis:

1. Cannot be negative

2. Cannot be zero

3. Is independent of the values of voltage and current sources

4. dependent on the values of the resistances and the voltage and current sources

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Q11:

The incidence matrix A of a connected graph is given below:

The following statements are associated with the above matrix:

1. Branches 2, 3 are in series.

2. Branches 4, 5 are in series.

3. Voltages of branches 4, 5 and 6 form an independent set.

Which of the statements given above is/are correct?

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Q12:

The graph associated with an electrical network has 7 branches and 5 nodes. The number of independent KCL equations and the number of independent KVL equations, respectively, are

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Q13:

The total number of branches in a network is equal to b. The graph of the network has n number of branches. The minimum number of line currents is

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Q14:

The number of chords in the graph of the given circuit will be

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Q15:

The graph of an electrical network has N nodes and B branches. The number of links L, with respect to the choice of a tree, is given by

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