# Signals and Systems - Online Test

Q1. A zero mean random signal is uniformly distributed between limits –a and +a and its mean square value is equal to its variance. Then the r.m.s value of the signal is
Explaination / Solution: Q2.
A three – bus network is shown in the figure below indicating the p.u. impedances of each element. The bus admittance matrix, Y – bus, of the network is
Explaination / Solution: Q3. The response h(t) of a linear time invariant system to an impulse δ(t) , under initially relaxed condition is The response of this system for a unit step input u(t) is
Explaination / Solution: Q4. The input voltage given to a converter is The current drawn by the converter is The input power factor of the converter is
Explaination / Solution: Q5. The input voltage given to a converter is The current drawn by the converter is The active power drawn by the converter is
Explaination / Solution: Q6. Given that f(y) = | y | / y, and q is any non-zero real number, the value of | f(q) - f(-q) | is
Explaination / Solution: Q7. An RLC circuit with relevant data is given below. The power dissipated in the resistor R is
Explaination / Solution: Q8.
A periodic voltage waveform observed on an oscilloscope across a load is shown. A permanent magnet moving coil (PMMC) meter connected across the same load reads Explaination / Solution: Q9. An RLC circuit with relevant data is given below. The current Ic in the figure above is
Explaination / Solution: Q10. The state variable description of an LTI system is given by where y is the output and u is the input. The system is controllable for

Explaination / Solution:  