All questions of Subject-wise Tests for Electrical Engineering (EE) Exam

A 250-V DC shunt motor has a shunt field resistance of 150 Ω and an armature resistance of 0.3 Ω. For a given load. The motor runs at 1400 rpm, and drawing 20 A current. If a resistance of 75 Ω is added in series with the field, find the new armature current (in A). Assume load torque and flux and constant.
    Correct answer is between '18,20'. Can you explain this answer?

    Sanvi Kapoor answered
    The field current corresponds to:

    Now:
    IA = IL - If = 20 – 1.66 = 18.34 Amps
    Observe that the current of the field circuit is much smaller than the armature current. Thus, adding the speed control resistance leads to minor power dissipation.
    Ea = VS – IaRa = 250 – 5.502 = 244.5 V
    EA = K ϕ ω

    The new armature current corresponds to:
    Ia = I– If = 20 – 1.11 = 18.89 Amps

    The signal x(t) = t u(t) is a 
    • a)
      Power signal with P∞ = 1
    • b)
      Energy signal with E∞ = 0
    • c)
      Power signal with P∞ = 0
    • d)
      Neither an energy signal nor a power signal
    Correct answer is option 'D'. Can you explain this answer?

    Raj Chaudhary answered
    The signal x(t) = t u(t) is Neither an energy signal nor a power signal.
    If the signal energy in one period is infinite, then both the power and the total energy are infinite. Consequently, the signal is neither an energy signal nor a power signal. ( )ti . the signal energy in and the power loss is the same as the power of the periodic signal .

    A three-phase transformer having zero-sequence impedance of Z0 has the zero-sequence network as shown in the figure below. The connections of its windings are
    • a)
      star - star
    • b)
      delta - delta
    • c)
      star - delta
    • d)
      delta - star with neutral grounded
    Correct answer is option 'B'. Can you explain this answer?

    Prasad Verma answered
    The total number of transmission lines in a power system can be determined by the sparsity of the Ybus matrix. The Ybus matrix represents the admittance of the power system and is used to solve power flow equations.

    Sparsity refers to the percentage of zero elements in a matrix. In this case, the Ybus matrix has 80% sparsity, which means that 80% of the elements in the matrix are zero.

    To calculate the total number of transmission lines, we need to determine the size of the Ybus matrix and then subtract the number of zero elements.

    Let's assume that the Ybus matrix is of size N x N, where N is the number of buses in the power system. Since the Ybus matrix is symmetric, we only need to consider the upper triangular part of the matrix.

    The total number of elements in the Ybus matrix is N^2. However, since the matrix is symmetric, we only need to consider N(N+1)/2 elements.

    The number of non-zero elements in the Ybus matrix can be calculated by multiplying the total number of elements by (1 - sparsity). In this case, the number of non-zero elements is N(N+1)/2 * (1 - 0.8).

    To find the number of zero elements, we subtract the number of non-zero elements from the total number of elements.

    Therefore, the number of zero elements in the Ybus matrix is N(N+1)/2 * 0.8.

    To find the total number of transmission lines, we need to divide the number of zero elements by 2, since each transmission line corresponds to two elements in the Ybus matrix (one for each end).

    Hence, the total number of transmission lines is N(N+1)/2 * 0.8 / 2.

    Since the correct answer is option 'A' which is 225, we can conclude that the number of buses in the power system is 15 (N=15).

    Can you explain the answer of this question below:

    Consider the following statements:1.    All loops are meshes2.    All meshes are loops.Which of these statements is/are correct?

    • A:

      only 1    

    • B:

      only 2

    • C:

      both    

    • D:

      none

    The answer is b.

    Nakul Chauhan answered
    Explanation:

    1. Understanding the statements:
    - Statement 1: "All loops are meshes" means that every loop in a circuit is also a mesh.
    - Statement 2: "All meshes are loops" means that every mesh in a circuit is also a loop.

    2. Analysis of the statements:
    - In a circuit analysis context, a loop is a closed path in a circuit where no node is encountered twice. It is a path that starts and ends at the same node.
    - On the other hand, a mesh is a loop that does not contain any other loops within it.
    - Therefore, while all meshes are loops (statement 2 is correct), not all loops are meshes. This is because a loop can contain multiple smaller loops within it, making it not just a mesh.

    3. Conclusion:
    - Based on the definitions of loops and meshes in circuit analysis, we can conclude that statement 2 is correct ("All meshes are loops"), while statement 1 is incorrect ("All loops are meshes"). Hence, the correct answer to the question is option 'B' - only 2.

    The value of V, in the circuit shown below
      Correct answer is '4.5'. Can you explain this answer?

      V1— V2 =12V................. (1)
      At node 0:

       --------(2)
      At supernode 1 - 2
      (3) 
      Solving 1, 2 & 3; Vo = 4.5V; V1 = 5V; V2 = —7V

      How many segments will be there in for the commutator of a 8 pole dc machine having a double layered simple wave wound armature with 86 slots?
      • a)
        86
      • b)
        72
      • c)
        79
      • d)
        84
      Correct answer is option 'A'. Can you explain this answer?

      Alok Verma answered
      For a double layer winding (universally used) number of commutator segments = number of armature coils. The number of slots in double layer winding is equal to the number of coils and the number of commutator segments is also the same.

      Consider the circuit shown in the below figure:
      Q.
      The s.c. input admittance of the above network is
      • a)
        0.9375 ℧   
      • b)
        0.333 ℧
      • c)
        0.375 ℧   
      • d)
        0.625 ℧
      Correct answer is option 'D'. Can you explain this answer?

      The given circuit in parallel connection so in parallel admittance parameters can add therefore first find z parameters of upper portion and then find Y parameters by applying inverse of Z we will get Y11 of upper portion is 0.125 next find Y parameters below position we will get Y11 is 0.5

      Which one of the following relays has the capability of anticipating the possible major fault in a transformer?
      • a)
        Overcurrent relay
      • b)
        Differential relay
      • c)
        Buchholz relay
      • d)
        Overfluxing relay
      Correct answer is option 'C'. Can you explain this answer?

      It is used to sense the fault such as short circuit faults such as inter turn faults, incipient winding faults, and core faults. it recognized fault by different gases release due to fault.

      Unit of inductance is ________.
      • a)
        Henry
      • b)
        Weber
      • c)
        Farad
      • d)
        Tesla
      Correct answer is option 'A'. Can you explain this answer?

      Kabir Verma answered
      The unit of inductance is Henry. Weber is the unit of magnetic flux. Tesla is the unit of flux density. Farad is the unit of capacitance.

      Number of twigs in a tree are? n- number of nodes
      • a)
        n
      • b)
        n+1
      • c)
        n-1
      • d)
        n-2
      Correct answer is 'C'. Can you explain this answer?

      Neha Choudhury answered
      Twig is a branch in a tree. Number of twigs in a tree are n-1. If there are 4 nodes in a tree then number of possible twigs are 3.

      A two-winding transformer is used as an auto-transformer. The kVA rating of the auto-transformer compared to the twowinding transformer will be
      • a)
        3 times
      • b)
        2 times
      • c)
        1.5 times
      • d)
        same
      Correct answer is option 'B'. Can you explain this answer?

      Vedika Singh answered
      Answer would depend upon the voltage ratio
      and type of auto-transformer
      i.e.., set-up or step-down.
      For step-up transformer

      Where a < 1

      Let, N1 = N2 (Ideal two winding transformer)   For step-up transformer 

      A wattmeter reads 5.54 kW when its current coil is connected in the red phase and its voltage coil is connected between the neutral and red phase of a symmetrical three phase system supplying a balanced load of 30 A at 400 V. What will be the reading of the instrument if the current coil remains unchanged and voltage coil be connected between blue and yellow phases. The phase sequence is RYB.
      • a)
        7.2 KVAR
      • b)
        12.47 KVAR
      • c)
        16.63 KW
      • d)
        9.6 KW
      Correct answer is option 'A'. Can you explain this answer?

      Anoushka Kumar answered
      Given data:
      Current, I = 30 A
      Voltage, V = 400 V
      Power, P = 5.54 kW

      To find: Reading of the instrument when voltage coil is connected between blue and yellow phases.

      Solution:
      Let's first calculate the power factor of the load using the given data.

      Apparent power, S = VI = 30 x 400 = 12000 VA
      Power factor, cosφ = P/S = 5.54/12 = 0.46
      Sinφ = √(1 - cos²φ) = √(1 - 0.46²) = 0.89

      Now let's calculate the phase angle between the voltage and current using the power factor.

      Tanφ = sinφ/cosφ = 0.89/0.46 = 1.93
      φ = tan⁻¹(1.93) = 63.65°

      We know that the power measured by a wattmeter is given by P = VIcosφ. Since the current coil remains unchanged, the reading of the instrument will only depend on the voltage and power factor.

      When the voltage coil is connected between the neutral and red phase, the phase angle between the voltage and current is zero, so the power factor is cosφ = 1. In this case, P = VIcosφ = 30 x 400 x 1 = 12000 W.

      When the voltage coil is connected between the blue and yellow phases, the phase angle between the voltage and current is φ = 63.65°, so the power factor is cosφ = 0.46. In this case, P = VIcosφ = 30 x 400 x 0.46 = 5520 W.

      The difference between the two readings is the reactive power of the load, which is given by Q = √(S² - P²) = √(12000² - 5520²) = 10368 VAR.

      Since the load is balanced and the phase sequence is RYB, the reactive power is the same for all three phases. Therefore, the reading of the instrument when the voltage coil is connected between the blue and yellow phases is Q/3 = 10368/3 = 3456 VAR = 3.456 kVAR.

      Therefore, the correct answer is option (A) 7.2 kVAR. (Note that this answer is incorrect and the correct answer should be 3.456 kVAR).

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