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The poles of the impedance Z(s) for the network shown in figure below will be real and coincident if
The impedance Z(s) of the given network is
The pofes are at
Thus, the poles will be coincidence if
In the complex frequency S= σ + jω, ω has the unit of radian/sec and σ has the unit of
A system is described by the transfer function The value of its step response at a very large time will be close to
At a certain current, the energy stored in iron cored coil is 1000 J and its copper loss is 2000 W. The time constant (in second) of the coil is
A ramp voltage v_{i}(t) = 100t V is applied to a differentiator circuit with R = 5 kΩ and C=4μF.The maximum output voltage is
Maximum output voltage of RC differentiator circuit =
The Laplace transform of the waveform below is
The given waveform can be expressed as
v(t) = u ( t  2)  u ( t  3) + u ( t  6)  u ( t  7)
Taking Laplace transform,
The initial and final values of are given by
The Laplace transform of the ramp function shown below is
The equation of the given ramp function is
The poles and zeros of the transfer function for the circuit shown below are located at
The given circuit can be redrawn as shown below.
Hence, poles are at:
A capacitor of 0.5 F is initially charged to 1 volt and is subjected to discharge at t = 0 across a LR series circuit where 1 = 1 H; R = 2 Ω. The current i(t) for t> 0 is
In Laplace domain, the given circuit can be drawn as shown below.
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