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Concept drill

time constant

GATE Electrical Engineering · Circuit Theory - Transient Analysis · 1997-2026

14
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64%
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1
elite explanations
9
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2026 Q13

The Laplace transform of the step response of a system is given by Y(s) = 100 / (s(s + 100)) The rise time is defined as the time taken for the response to go from 0.1 to 0.9 of it...

mediumanswer key
2025 Q22

Selected data points of the step response of a stable first-order linear time-invariant (LTI) system are given below. The closest value of the time-constant, in sec, of the system...

mediumanswer key
2025 Q57

The switch (S) closes at t = 0 sec. The time, in sec, the capacitor takes to charge to 50 V is ________ (round off to one decimal place).

mediumanswer key
2025 PYQ

Selected data points of the step response of a stable first-order linear time-invariant (LTI) system are given below. The closest value of the time-constant, in sec, of the system...

mediumanswer keybasic explanation
2024 Q14

The circuit shown in the figure with the switch S open, is in steady state. After the switch S is closed, the time constant of the circuit in seconds is

medium
2020 PYQ

A resistor and a capacitor are connected in series to a 10 V dc supply through a switch. The switch is closed at t = 0, and the capacitor voltage is found to cross 0 V at t = 0.4τ,...

medium
2019 Q41

A 0.1 µF capacitor charged to 100 V is discharged through a 1 KΩ resistor. The time in ms (round off to two decimal places) required for the voltage across the capacitor to drop to...

medium
2019 PYQ

A 0.1 μF capacitor charged to 100 V is discharged through a 1 kΩ resistor. The time in ms (round off to two decimal places) required for the voltage across the capacitor to drop to...

easy
2018 Q27

A 0-1 Ampere moving iron ammeter has an internal resistance of 50 mΩ and inductance of 0.1 mH. A shunt coil is connected to extend its range to 0-10 Ampere for all operating freque...

mediumanswer key
2018 PYQ

A 0-1 Ampere moving iron ammeter has an internal resistance of 50 m$$\Omega $$ and inductance of 0.1 mH. A shunt coil is connected to extend its range to 0-10 Ampere for all operat...

mediumanswer key
2010 PYQ

For the system $$\frac2{\left(s+1\right)}$$, the approximate time taken for a step response to reach 98% of its final value is

easyanswer keyelite explanation
2010 PYQ

For the system $${2 \over {\left( {s + 1} \right)}},$$ the approximate time taken for a step response to reach $$98$$% of its final value is

easyanswer key
2003 PYQ

A control system with certain excitation is governed by the following mathematical equation $$${{{d^2}x} \over {d{t^2}}} + {1 \over 2}{{dx} \over {dt}} + {1 \over {18}}x = 10 + 5{e...

easyanswer key
1997 PYQ

A first order system is initially at rest and excited by a step input at time $$t=0.$$ Its output becomes $$1.1$$ $$V$$ is in $$4$$ seconds and eventually reaches a steady state va...

easy