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In the circuit below, the light dependent resistor $(LDR)$ receives light from the $LED$. The $LDR$ has resistances of $5\;k\Omega$ and $500\;\Omega$ under dark and illum...
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A differential capacitive sensor with a distance between the extreme plates $100\;mm$ is shown in figure below. The difference voltage $\Delta V=V_1-V_2,$ where $V_1$ and...
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A piezoelectric transducer with sensitivity of 30 m V/kPa is intended to be used in the range of 0 kPa to 100 kPa. The readout circuit has a peak noise amplitude of 0.3 m...
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A 100 W light source emits uniformly in all directions. A photodetector having a circular active area whose diameter is 2 cm is placed 1 m away from the source, normal to...
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A resistance-meter has five measurement range-settings between 200 $\Omega$ and 2 M$\Omega$ in multiples of 10. The meter measures resistance of a device by measuring a f...
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A pulsed laser emits rectangular pulses of width 1 nanosecond at a repetition rate of 1kHz. If the average power output is 1 mW, the average power over a single pulse dur...
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​​​​​​Four identical resistive strain gauge factor of 2.0 used in a wheatstone bridge as shown in the figure below. Only one of the strain gauges R${_S}{_E}{_N}{_S}{_E}$ ...
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The frequency response of a digital filter H($\omega$) has the following characteristicsPassband: 0.95$\le$|H($\omega$|$\le$1.05 for 0$\le$$\omega$$\le$0.3$\pi$ andStopba...
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In the circuit shown below, a step input voltage of magnitude 5 V is applied at node A at time t = 0. If the capacitor has no charge for t $\leq$ 0, the voltage at node P...
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In the circuit shown below, the angular frequency $\omega$ at which the current is in phase with the voltage is $\_\_\_\_\_\_$ rad/s.
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The transfer function relating the input x(t) to the output y(t) of a system is given by G(s) = 1/(s + 3). A unit-step input is applied to the system at time t = 0. Assum...
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The output of a continuous-time system y(t) is related to its input x(t) as y(t) = x(t) + $\frac{1}{2}$x(t-1). If the Fourier transforms of x(t) and y(t) are x($\omega$) ...
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A discrete- time signal x[n] = e$^{j(\frac{5\pi}{3})n}$ + e$^{j(\frac{\pi}{4})n}$ is down-sampled to the signal x${_d}[n]$ such that x${_d}[n]$ = x[4n]. The fundamental...
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In a control system with unity gain feedback, the transfer function of the loop-gain function is L(S) = 9e$^{-0.1s}$/S. The phase margin of the loop-gain function L(S) is...
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In the circuit shown below, all transistors are n-channel enhancement mode MOSFETs. They are identical and are biased to operate in saturation mode. Ignoring channel leng...
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In the circuit shown below, all OPAMPS are ideal. The current I = 0 A when the resistance R = $\_\_\_\_\_$ k$\Omega$
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The parallel resistance-capacitance bridge shown below has a standard capacitance value of C${_1}$=0.1${_\mu}$F and a resistance value of R${_3}$=10 k$\Omega$. The bridge...
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In a microprocessor with a 16 bit address bus, the most significant address lines A15 to A12 are used to select a 4096 word memory unit, while lines A0 to A11 are used to...
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A signal x(t) has a bandwidth 2B about a carrier frequency of f${_c}$ = 2 GHz as shown in Figure (a) below. In order to demodulate this signal, it is first mixed (multipl...
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Consider a Michelson interferometer as shown in the figure below. When the wavelength of the laser light source is switched from 400 nanometer to 500 nanometer, it is obs...