Question: A first order system is subjected to a step input. its time constant can be defined as :
Answer:
MCQ: A first order system is subjected to a step input. its time constant can be defined as :
Correct Answer:
A. Time for the output to rise to 63.2% of its final steady value in the case of rising output.
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Related Questions
- 1. A first order system has a time constant of 20 s. it is subjected to step input. The setting time of the output is assumed to be the time it reaches 95% of the final steady value.The setting time of the system is :
- 2. An RC series circuit has a resistance of 2 MΩ and a capacitance of 1µF. it is subjected to step input of 10 V. The dynamic error ( refers to voltage across capacitor) at time <em>t = 4 s </em>of application of input is :
- 3. The volume of bulb of a liquid filled thermometer is 1000mm<sup>3</sup> . Its time constant is 300 s. it is desired to reduce time constant to 100 s. what is the new volume of bulb, of all other conditions remain the same except the dimension of the bulb :
- 4. The volume of bulb of a liquid filled thermometer is 1000mm<sup>3</sup> . Its time constant and sensitivity are respectively 300 s and 3.6 mm/°C. if the volume of the bulb is reduced to 500 mm<sup>3</sup>, the sensitivity becomes :
- 5. A balloon is fitted with a first order temperature measuring device with time constant of 20 s. it is also fitted with zero order instruments for altitude measurements. It radios back to earth both temperature and altitude signals. The decrease in temperature is 0.02 x°C where x is the altitude in meter. The balloon travels vertically at a speed of 5 m/s. The balloon radios back altitude signal as 3000m. The decrease in temperature radios back to earth is :
- 6. A 2 gm mass is suspended from a single spring. The deflection caused is 5 mm. The natural frequency of the system is :
- 7. In a second order system, the damping factor is 0.65 and the natural frequency is 4 Hz. If the stiffness of spring is halved, the new value of damping factor and natural frequency are:
- 8. In a second order system, the steady state error is 0.02. if both viscous friction constant and spring constant are doubled, the steady error will be :
- 9. In second order system, the frequency of damped oscillations is 18 rad/s. The value of damping factor is 0.866. The natural frequency of oscillations is :
- 10. In a second order system, the peak overshoot is 100%. The value of damping factor is :
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