ISRO Scientist or Engineer Electronics 2010

Laplace Transform of $$e^{at}t^{n}$$ is

For $$- \infty < x < \infty \& -1 < y < 1$$, the partial differential equation $$ x^{2} \frac{\partial^{2} u}{\partial x^{2}} + (1 - y^{2}) \frac{\partial^{2} u}{\partial y^{2}} = 0$$ is

A CMOSdigital circuit consumes P watts of dynamic power while operating at 20 MHz clock frequency and 5V supply. Whatwill be its dynamic power consumption if the clock frequency is increased to 40 MHz and supply voltage is decreased to 2.5V?

A communication channel with Additive White Gaussian Noise, has a bandwidth of 4 kHz and SNRof31dB. Its channel capacity is

If the total power of an-amplitude modulated signalis 600W and the carrier power is 400W,the modulation indexis

What is the advantage of Offset QPSK (OQPSK) compared to conventional QPSK?

An angle modulated signal with carrier frequency $$\omega_{c} = 2 \pi \times 10^{5}$$ is described by the equation $$s(t) = 10 \cos (\omega_{c} t + 5 \sin(3000 \pi t) + 10 \sin (2000 \pi t))$$. What is the frequency deviation $$\triangle$$ f ?

The Fourier transform of a signal $$x(t) = e^{-4\mid t \mid}$$

What is the output waveform $$V_{o}$$ for a sinusoidal input of peak-peak amplitude of 4V. Assume that Z1 and Z2 are two identical Zener diodes of 4.7V, and R1 = 10kohm and R2 = 20kohm.

For a particular toroidal inductor core, the inductance value obtained for 50 Turns is $$200 \mu H$$. If two such inductors are wired in parallel, the resulting inductanceis