Electrical Circuit Analysis - B.Tech 3rd Semester Examination, 2023

Kirchhoff's Current law is based on law of conservation of

1. energy
2. momentum
3. mass
4. charge

Determine the current if a 20 coulomb charge passes a point in 0.25 seconds

1. 10 A
2. 20 A
3. 2 A
4. 80 A

Comment on the linearity of \( y[n]=n*x[n] \).

1. Linear
2. Only additive
3. Not scalable
4. Non linear

Maximum power transfer occurs at a

1. 100% efficiency
2. 50% efficiency
3. 25% efficiency
4. 75% efficiency

The inverse laplace transform of \( \frac{1}{s} - \frac{e^{-as}}{s} \) is

1. \( U(t)-U(t-a) \)
2. \( U(t) \)
3. \( U(t-a) \)
4. Zero

The parameter A of a two port network is equal to

1. \( V_{2}/V_{1} \) with \( I_{1}=0 \)
2. \( V_{1}/I_{2} \) with \( V_{2}=0 \)
3. \( I_{1}/I_{2} \) with \( V_{2}=0 \)
4. \( V_{1}/V_{2} \) with \( I_{2}=0 \)

A system is linear if it satisfies

1. Principle of superposition
2. Principle of homogeneity
3. Both (i) & (ii)
4. Only (i)

Given \( F(S)=(S+2)/S(S+1) \) the initial and final values of f(t) will be respectively

1. 1, 2
2. 2, 1
3. 1, 1
4. 2, 2

Time constant of RL circuit is

1. \( L/R \)
2. RL
3. \( R/L \)
4. None of the above

The transmission parameters are also known as:

1. impedance parameters
2. ABCD parameters
3. admittance parameters
4. hybrid parameters

A series R-L circuit has \( R=2 \Omega \) and \( L=2H \). A ramp input r(t) is applied at \( t=1 \text{ sec} \). Obtain an expression for current through the circuit.

Define time constant. What the significance of time constant?

State Superposition theorem explaining the conditions in which it is valid.

In the network shown in figure below, find the value of current flowing through the 6 ohm resistance in the circuit given below using superposition theorem.

State and explain Thevenin's Theorem. Show the Thevenin's equivalent representation of any circuit.

For the circuit given below, determine the current flowing through the 4 ohm resistance by Thevenin's theorem. What are the values of Thevenin's resistance and Thevenin's voltage for this circuit.

Calculate the Laplace Transform of the function \( f(t)=e^{-t}\sin(wt) \).

Define Gate function? Using Gate function find out the Laplace Transform of a single Sine wave.

Calculate the impedance, resistance, Power and power factor of a circuit whose expression for voltage and current are given by: \( V = 100\sin(wt+60^{\circ}) - 50\sin(5wt-30^{\circ}) \text{ volt} \) and \( I = 10\sin(wt+60^{\circ}) - 5\sin(3wt+30^{\circ}) \text{ amp} \).

A 400 mH coil of zero resistance is connected to an AC circuit in which 6 mA current is flowing. Find out the voltage across the coil if the frequency is 100 Hz.

Obtain the Y & Z parameters of the network shown below. Write the unit of all individual parameters.

Explain frequency response. Why magnitude and phase plots are necessary for frequency response analysis.

What is Q-factor? Calculate the quality factor of a series RLC circuit with \( L=2H \), \( C=2\mu F \) and \( R=20 \Omega \).