ISRO Scientist or Engineer Electronics May 2017

What will be the minimum numbers of tap require to realize a FIR filter having $$f_{pass}$$ = 10 kHz and $$f_{stop}$$ =15 kHz, 0.1 dB pass band ripple and 60 dB attenuation in stop band. Sampling frequency is 200 kHz.

The system with the transfer function $$\frac{Y(s)}{X(s)}=\frac{s}{s+p}$$ has an output $$y(t) = \cos \left(2t - \frac{\pi}{3}\right)$$ for the input signal $$x(t) = p \cos \left(2t - \frac{\pi}{2}\right)$$.Then the system parameter p is

The approximate Bode magnitude plot of a minimum-phase system is shown in the figure below. The transfer function of the system is

For the circuit of the figure the inductor current $$i_{L}$$ just before t = 0 is

The network shown in below figure consist of two coupled coils and a capacitor. At t=0 = 0, the switch is closed connecting a voltage generator, $$v_{in} = V \sin(\frac{t}{\sqrt{MC}})$$ what will be the value of $$\frac{d v_{a}}{dt} (0+)$$?

In the network shown below, switch is moved from position a to b at t = 0 . The current $$i_{L} (t)$$ for t>o is given as

The voltage gain $$\frac{v_{out}}{v_{in}}$$ of a circuit shown below is zero. If $$\omega =333.33  rad/s$$ , the value of c is

In the network shown below, switch is opened at t = 0 after long time. The current $$i_{L} (t)$$ for $$t > 0$$ is given as

The Q factor of a RLC circuit is 5 at its resonance frequency of 1 kHz. Find the bandwidth of the circuit

For the circuit shown in figure, find the frequency at which this circuit will be at resonance