All questions of Two Port Networks for Electrical Engineering (EE) Exam

In the circuit given below, the 60 V source absorbs power. Then the value of the current source is ____________
  • a)
    10 A
  • b)
    13 A
  • c)
    15 A
  • d)
    18 A
Correct answer is option 'A'. Can you explain this answer?

Given that, 60 V source is absorbing power, it means that current flow from positive to negative terminal in 60 V source.
Applying KVL, we get, I + I1 = 12 A …… (1)
Current source must have the value of less than 12 A to satisfy equation (1).

For the circuit given below, the value of z11 parameter is ____________.
  • a)
    z11 = -j6 + 4 Ω
  • b)
    z11 = -j6 Ω
  • c)
     z11 = j6 Ω
  • d)
     z11 = 4 + j6 Ω
Correct answer is option 'D'. Can you explain this answer?

Pooja Patel answered
Answer: a Explanation: z12 = j6 = z21 z11 – z12 = 4 Or,
z11 = z12 + 4 = 4 + j6 Ω
And z22 – z12 = -j10
 Or, z22 = z12 + -j10 = -j4 Ω 
∴ [z] = [4+j6:j6; j6:-j4] Ω.



The relation AD – BC = 1, (where A, B, C and D are the elements of a transmission matrix of a network) is valid for ___________
  • a)
    Both active and passive networks
  • b)
    Passive but not reciprocal networks
  • c)
    Active and reciprocal networks
  • d)
    Passive and reciprocal networks
Correct answer is option 'D'. Can you explain this answer?

Pooja Patel answered
AD – BC = 1, is the condition for reciprocity for ABCD parameters, which shows that the relation is valid for reciprocal network. The ABCD parameters are obtained for the network which consists of resistance, capacitance and inductance, which indicates that it is a passive network.

In the circuit given below, the value of R is ___________
  • a)
    2.5 Ω
  • b)
    5.0 Ω
  • c)
    7.5 Ω
  • d)
    10.0 Ω
Correct answer is option 'C'. Can you explain this answer?

EduRev GATE answered
The resultant R when viewed from voltage source = 100/8 = 12.5
∴ R = 12.5 – 10 || 10 = 12.5 – 5 = 7.55 Ω.

If the diameter of a wire is doubled, the current carrying capacity of the wire is ___________
  • a)
    Half
  • b)
    Twice
  • c)
    Four times
  • d)
    One-fourth
Correct answer is option 'C'. Can you explain this answer?

Zoya Sharma answered
Since diameter is doubled, area of cross-section becomes four times. Current carrying capacity is proportional to area of cross-section.

The condition for a 2port network to be reciprocal is ______________
  • a)
    Z11 = Z22
  • b)
    BC – AD = -1
  • c)
    Y12 = -Y21
  • d)
    h12 = h21
Correct answer is option 'B'. Can you explain this answer?

Pooja Patel answered
If the network is reciprocal, then the ratio of the response transform to the excitation transform would not vary after interchanging the position of the excitation.

How many incandescent lamps connected in series would consume the same total power as a single 100 W/220 V incandescent lamp. The rating of each lamp is 200 W/220 V?
  • a)
    Not possible
  • b)
    4
  • c)
    3
  • d)
    2
Correct answer is option 'D'. Can you explain this answer?

Jaya Rane answered
To determine the number of incandescent lamps connected in series that would consume the same total power as a single 100 W/220 V incandescent lamp with each lamp rated at 200 W/220 V, we need to calculate the total power consumed by the series combination of lamps.

Let's assume the number of lamps connected in series is 'n'.

Total power consumed by the series combination of lamps can be calculated using the formula:

Total Power = Power per Lamp * Number of Lamps

Given that the power per lamp is 200 W and the voltage is 220 V, we can determine the current flowing through each lamp using Ohm's law:

Current per Lamp = Power per Lamp / Voltage per Lamp

Substituting the values, we get:

Current per Lamp = 200 W / 220 V = 0.909 A

Since the lamps are connected in series, the total current flowing through the combination will be the same as the current flowing through each lamp.

Total Current = Current per Lamp = 0.909 A

Now, let's calculate the total power consumed by the series combination of lamps:

Total Power = Power per Lamp * Number of Lamps

100 W = 200 W * n

Solving for 'n', we get:

n = 100 W / 200 W = 0.5

Since 'n' cannot be a fraction, we round it up to the nearest whole number, which is 1.

Therefore, the number of incandescent lamps connected in series that would consume the same total power as a single 100 W/220 V incandescent lamp is 1.

However, none of the given options match the correct answer. Option 'D' cannot be the correct answer. It seems there may be an error in the options provided.

In the circuit given below, the equivalent capacitance is ______________
  • a)
    C/4
  • b)
    5C/13
  • c)
    5C/2
  • d)
    3C
Correct answer is option 'B'. Can you explain this answer?

EduRev GATE answered
The equivalent capacitance by applying the concept of series-parallel combination of the capacitance is,
123 c Energy delivered during talk time
E = ∫V(t)I(t) dt
Given, I (t) = 2 A = constant = 2 ∫ V(t)dt
= 2 x Shaded area

Consider a cube having resistance R on each of its sides. For this non-planar graph, the number of independent loop equations are _______________
  • a)
    8
  • b)
    12
  • c)
    7
  • d)
    5
Correct answer is option 'D'. Can you explain this answer?

We know that the number of equations is given by,
L = B – N + 1
Where, B = Number of Branches, N = Number of Nodes
Here, B = 12 and N = 8.
So, L = 12 – 8 + 1 = 5.

Assertion (A): Simple resistors, inductors and capacitors are linear elements.
Reason (R): The resistances, inductances and capacitances do not change with a change in applied voltage or the circuit current.
  • a)
    Both A and R are true and R is the correct explanation of A.
  • b)
    Both A and R are true but R is not the correct explanation of A.
  • c)
    A is true but R is false.
  • d)
    A is false but R is true.
Correct answer is option 'A'. Can you explain this answer?

Mainak Roy answered
Simple resistors, inductors, and capacitors are linear elements, which means that their behavior can be described by linear equations. The assertion (A) is true, and the reason (R) is the correct explanation of A.

Explanation:

1. Linear elements:
- Linear elements are electronic components that exhibit a linear relationship between the voltage across them and the current flowing through them.
- Simple resistors, inductors, and capacitors are examples of linear elements.
- They follow Ohm's law, which states that the current through a conductor between two points is directly proportional to the voltage across the two points.

2. Linearity of resistors, inductors, and capacitors:
- Resistors, inductors, and capacitors are passive components that do not have any active amplification or signal processing capabilities.
- Their electrical properties, such as resistance, inductance, and capacitance, remain constant regardless of the applied voltage or current.
- This means that their behavior can be accurately described by linear equations.

3. Reason (R) - Explanation of Assertion (A):
- The reason (R) states that the resistances, inductances, and capacitances of these components do not change with a change in applied voltage or circuit current.
- This is true because these values are inherent to the physical properties of the components and do not vary with the operating conditions.
- For example, a resistor with a resistance value of 10 ohms will always have the same resistance regardless of the voltage or current applied to it.
- Similarly, an inductor with an inductance value of 1 henry will always exhibit the same inductance regardless of the voltage or current.
- The same applies to capacitors, which have a fixed capacitance value that does not change with the applied voltage or current.

Conclusion:
Both the assertion (A) and the reason (R) are true, and the reason correctly explains why simple resistors, inductors, and capacitors are considered linear elements. These components exhibit a linear relationship between voltage and current, and their electrical properties remain constant regardless of the operating conditions.

Match List-1 with List-11 and select the correct answer using the codes given below the lists:
  • a)
    a
  • b)
    b
  • c)
    c
  • d)
    d
Correct answer is option 'C'. Can you explain this answer?

Bijoy Nair answered
Z-parameter equations are:
and h parameter equations are:
Converting the Z-parameter equations into h-parameter equations, we have:
and

In the figure given below, the pole-zero plot corresponds to _____________
  • a)
    Low-pass filter
  • b)
    High-pass filter
  • c)
    Band-pass filter
  • d)
    Notch filter
Correct answer is option 'D'. Can you explain this answer?

Pooja Patel answered
In pole zero plot the two transmission zeroes are located on the jω-axis, at the complex conjugate location, and then the magnitude response exhibits a zero transmission at ω – ωC.

Barletts Bisection Theorem is applicable to ___________
  • a)
    Unsymmetrical networks
  • b)
    Symmetrical networks
  • c)
    Both unsymmetrical and symmetrical networks
  • d)
    Neither to unsymmetrical nor to symmetrical networks
Correct answer is option 'B'. Can you explain this answer?

Zoya Sharma answered
A symmetrical network can be split into two halves. So the z parameters of the network are symmetrical as well as reciprocal of each other. Hence Barletts Bisection Theorem is applicable to Symmetrical networks.

A two port network is not reciprocal if
  • a)
    BC - AD = -1
  • b)
    g12+g21 = 0
  • c)
    Z12= Z21
  • d)
    h12 + h21 = 1
Correct answer is option 'D'. Can you explain this answer?

Aman Datta answered
Explanation:

Reciprocity is a property of a two-port network in which the transmission from port 1 to port 2 is the same as the transmission from port 2 to port 1.

Mathematically, if a two-port network is reciprocal, then:

h12 = h21

Where h12 is the forward transmission parameter and h21 is the reverse transmission parameter.

Option D states that h12 h21 = 1, which implies that the product of the forward and reverse transmission parameters is equal to 1. This condition is necessary for a two-port network to be reciprocal.

The other options are:

Option A: BC - AD = -1 is the condition for a two-port network to be lossless.

Option B: g12 g21 = 0 is the condition for a two-port network to be either a matched network or an isolated network.

Option C: Z12= Z21 is the condition for a two-port network to be symmetrical.

None of the above conditions are sufficient to determine whether a two-port network is reciprocal or not.

Therefore, option D is the correct answer.

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