This set of Electric Drives Multiple Choice Questions & Answers (MCQs) focuses on “Dynamic Braking of DC Shunt Motors”.

1. The sine function is an odd function.

a) True

b) False

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Explanation: The odd functions are those functions which are symmetric about the origin. The sine function is an odd function whose time period is 2π.

2. The cosine function is an even function.

a) True

b) False

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Explanation: The even functions are those functions which are a mirror image of the y-axis. The cosine function is an even function whose time period is 2π.

3. Full form of NENO.

a) Neither even nor odd

b) Neither energy nor odd

c) Neither even nor original

d) Neither even nor orthogonal

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Explanation: NENO stands for Neither even nor odd. The functions which are not the mirror image of the y-axis and nor symmetric about the origin are NENO functions.

4. The characteristics shown by an element in the V-I curve is V=I_{s}(1-e^{-V/K}). The nature of the element is _______

a) Non-linear, Bilateral, Passive

b) Linear, Unilateral, Active

c) Linear, Bilateral, Passive

d) Non-linear, Unilateral, Passive

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Explanation: The nature of the element is non-linear, unilateral and passive. The shape of the characteristic is exponential rising. For bilateral nature, it should be symmetrical in the first and third quadrant. Its slope is positive in the first quadrant which determines its passive nature.

5. Calculate the resonant frequency if the values of the capacitor and inductor are 2 F and 2 H.

a) .5 rad/sec

b) .6 rad/sec

c) .8 rad/sec

d) .9 rad/sec

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Explanation: During resonance condition X

_{L}=X

_{c}. The value of the resonant frequency is 1÷√LC=1÷√4=.5 rad/sec. The V

_{o}ltage across the capacitor and inductor becomes equal.

6. Calculate the steady state value for x(t)=7e^{-9t}.

a) 0

b) 8

c) 3

d) 1

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Explanation: The steady state value is obtained at t=∞. The value of x(t) at t=∞ is 7e

^{-∞}=4(0)=0. The term e

^{-9t}is an exponentially decaying function.

7. The maximum V_{o}ltage across the capacitor V_{c}(t)=V_{o}(1- e^{-t}) is __________

a) V_{o}

b) 2V_{o}

c) 3V_{o}

d) -V_{o}

View Answer

Explanation: The V

_{c}(t)=V

_{o}(1- e

^{-t}) is V

_{o}is the transient equation of the capacitor Voltage. At the steady state (t=∞) V

_{c}(t)=V

_{o}(1- e

^{-∞}) is V

_{o}. The maximum Voltage across the capacitor is V

_{o}.

8. Calculate the value of the coefficient of coupling for the tightly coupled coils.

a) 0

b) 1

c) 3

d) 2

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Explanation: The coefficient of coupling expresses how the two coils are magnetically coupled. It is mathematically represented as K=M÷√L

_{1}.L

_{2}. For tightly coupled coils, the value of the mutual inductance is √L

_{1}.L

_{2}. The value of the coefficient of coupling is 1.

9. The maximum current in the inductor I_{L}(t)=I_{o}(1 – e^{-t/α}) is __________

a) I_{o} e^{-t/α}

b) I_{o}

c) 2I_{o}

d) -I_{o}

View Answer

Explanation: The I

_{L}(t)=I

_{o}(1 – e

^{-t/α}) is I

_{o}is the transient equation of the inductor current. At the steady state (t=∞) I

_{L}(t)=I

_{o}(1- e-∞) is I

_{o}. The maximum current in the inductor is I

_{o}.

10. 20 V, 10 A, 10 rpm separately excited dc motor with armature resistance (R_{a}) equal to .8 ohms. Calculate back emf developed in the motor when it operates on the full load. (Assume rotational losses are neglected)

a) 12 V

b) 14 V

c) 13 V

d) 11 V

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Explanation: Back emf developed in the motor can be calculated using the relation E

_{b}= V

_{t}– I×R

_{a}. In question, it is asking for a full load. 20 V is terminal Voltage it is fixed so E

_{b}= 20-10×.8 = 12 V.

11. Speed of DC shunt motor is directly proportional to___________

a) E_{b}

b) Φ

c) V_{t}

d) I_{a}.R_{a}

View Answer

Explanation: The back e.m.f in case of DC shunt motor is E

_{b}=V

_{t}-I

_{a}.R

_{a}. The speed in DC shunt motor is

E

_{b}÷K

_{v}. The speed is directly proportional to E

_{b}.

12. Calculate the value of the angular acceleration of the DC shunt motor using the given data: J = 1 kg-m^{2}, load torque = 1 N-m, motor torque = 2 N-m.

a) 1 rad/s^{2}

b) 2 rad/s^{2}

c) 3 rad/s^{2}

d) 5 rad/s^{2}

View Answer

Explanation: Using the dynamic equation of motor J×(angular acceleration) = Motor torque – Load torque: 1×(angular acceleration) = 2-1=1, angular acceleration=1 rad/s

^{2}.

13. Calculate the quality factor for the R-L circuit if R=16 Ω and X_{L}=8 Ω with supply frequency is 1 rad/sec.

a) 2

b) 6

c) 0

d) 7

View Answer

Explanation: The quality factor is defined as the ratio of the reactive power to the active power consumed. The resistor always absorbs active power and inductor absorbs the reactive power. ΩL=8, L=8 Henry and quality factor=R÷L=16÷8=2.

14. Calculate the equivalent resistance when two armature resistances are connected in parallel of values 6 Ω, 3 Ω.

a) 3 Ω

b) 2 Ω

c) 4 Ω

d) 7 Ω

View Answer

Explanation: When two resistances are connected in parallel their equivalent resistance is equal to the harmonic mean of the individual resistances. R

_{eq}=R

_{1}.R

_{2}÷(R

_{1}+R

_{2})=6×3÷(6+3)=2 Ω.

15. Calculate the quality factor for the R-C circuit if R=1 Ω and C=1 F.

a) 2

b) 4

c) 1

d) 5

View Answer

Explanation: The quality factor is defined as the ratio of the reactive power to the active power consumed. The resistor always absorbs active power and capacitor absorbs the reactive power. Quality factor=1÷RC=1÷1=1.

**Sanfoundry Global Education & Learning Series – Electric Drives.**

To practice all areas of Electric Drives, __here is complete set of 1000+ Multiple Choice Questions and Answers__.