A system is described by the following differential equation:
Where x(t) and y(t) are the input and output variables respectively. The transfer function of the inverse system is
If v is a non-zero vector of dimension then the matrix A=vvT has a rank = _______
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A periodic signal x(t) is shown in the figure. The fundamental frequency of the signal x (t) in Hz is________.
The silicon diode, shown in the figure, has a barrier potential of 0.7 V. There will be no forward current flow through the diode, if Vdc, in volt, is greater than
For a first order low pass filter with unity d.c. gain and -3 dB corner frequency of 2000π rad/s, the transfer function is
A and B are the logical inputs and X is the logical output shown in the figure. The output X is related to A and B by
The most suitable pressure gauge to measure pressure in the range of 10-4 to10-3 torr is
The standard for long distance analog signal transmission in process control industry is
If a continuous-time signal x (t) = cos (2πt) is sampled at 4 Hz, the value of the discrete-time sequence x(n) at n = 5 is
The term hysteresis is associated with
A current waveform, i(t), shown in the figure, is passed through a Permanent Magnet Moving coil (PMMC) type ammeter. The reading of the ammeter up to two decimal places is
The connection of two 2-port networks is shown in the figure. The ABCD parameters of N1 and N2 networks are given as
The ABCD parameters of the combined 2-port network are
The figure shows a shape ABC and its mirror image A1B1C1 across the horizontal axis (X - axis). The coordinate transformation matrix that maps ABC to A1B1C1 is
The differential amplifier, shown in the figure, has a differential gain of Ad = 100 and common mode gain of Ac = 0.1. If V1 = 5.01 V and V2 = 5.00V, then V0, in volt (up to one decimal place) is ___________.
A circuit consisting of dependent and independent sources is shown in the figure. If the voltage at Node-1 is – 1 V, then the voltage at Node-2 is _________V.
The eigen values of the matrix
The figure shows a phase locked loop. The output frequency is locked at f0 = 5kHz. The value of fi in kHz is __________.
Identify the instrument that does not exist:
The output Vo shown in the figure, in volt, is close to
An 8-bit microcontroller with 16 address lines has 3 fixed interrupts i.e., Int1, Int2 and Int3 with corresponding interrupt vector addresses as 0008H. 0010H and 0018H. To execute a 32-byte long Interrupt Service Subroutine for Int1 starting at the address ISSI, The location 0008H onwards should ideally contain
A series R-L-C circuit is excited with a 50V, 50 Hz sinusoidal source. The voltage across the resistance and the capacitance are shown in the figure. The voltage across the inductor (VL) is __________V
The condition for oscillation in a feedback oscillator circuit is that at the frequency of oscillation, initially the loop gain is greater than unity while the total phase shift around the loop in degree is
The region of Convergence (ROC) of the Z-transform of a causal unit step discrete-time sequence is
The pressure drop across an orifice plate for a particular flow rate is 5 kg/m2. If the flow rate is doubled (within the operating range of the orifice), the corresponding pressure drop in kg/m3 is
The two-input voltage multiplier, shown in the figure, has a scaling factor of 1 and produces voltage output. If V1 =+15V and V2 =+3V, the value of V0 in volt is _________.
For the circuit, shown in the figure, the total real power delivered by the source to the loads is _________kW
The magnetic flux density of an electromagnetic flow meter is 100 mWb/m2. The electrodes are wall-mounted inside the pipe having a diameter of 0.25m. A voltage of 1V is generated when a conducting fluid is passed through the flow meter. The volumetric flow rate of the fluid in m3/s is ____________.
In the circuit, shown in the figure, the MOSFET is operating in the saturation zone. The characteristics of the MOSFET is given by ID = 1/2 (VGS -1)2 mA, where VGS is in V. If Vs = +5V, then the value of RS in kΩ is _________.
The hot junction of a bare thermocouple, initially at room temperature (30°C), is suddenly dipped in molten metal at t = 0s. The cold junction is kept at room temperature. The thermocouple can be modeled as a first-order instrument with a time constant of 1.0s and a static sensitivity of 10 μV/°C. If the voltage, measured across the thermocouple indicates 10.0 mV at t = 1.0s, then the temperature of the molten metal in °C is __________.