GATE EC 2015 Question Paper (31-Jan-2015) (Shift 1)

The polar plot of the transfer function

$\mathrm{G}\left(\mathrm{s}\right)=\frac{10\left(\mathrm{s}+1\right)}{\left(\mathrm{s}+10\right)}$ for 0 ≤ ω ≤ ∞ will be in the

A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The sampling rate and step-size Δ of the delta modulator are 20,000 samples per second and 0.1V respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is

Consider the signal $\mathrm{s}\left(\mathrm{t}\right)=\mathrm{m}\left(\mathrm{t}\right)\cos \left(2\pi {\mathrm{f}}_{\mathrm{c}}\mathrm{t}\right)+\hat{\mathrm{m}}\left(\mathrm{t}\right)sin\left(2\pi {\mathrm{f}}_{\mathrm{c}}\mathrm{t}\right)$ where $\hat{\mathrm{m}}\left(\mathrm{t}\right)$ denotes the Hilbert transform of $\mathrm{m}\left(\mathrm{t}\right)$ and the bandwidth of $\mathrm{m}\left(\mathrm{t}\right)$ is very small compared to ${\mathrm{f}}_{\mathrm{c}}$. The signal $\mathrm{s}\left(\mathrm{t}\right)$ is a

Consider a straight, infinitely long, current conductor lying on the z – axis. Which one of the following plots (in linear scale) qualitatively represents the dependence of ${\mathrm{H}}_{\varphi }$ on r, where ${\mathrm{H}}_{\varphi }$ is the magnitude of the azimuthal component of magnetic field outside the conductor and r is the radial distance from the conductor?

The electric field component of plane wave travelling in a lossless dielectric medium is given by $\vec{\mathrm{E}}\left(\mathrm{z},\mathrm{f}\right)={\hat{\mathrm{a}}}_{\mathrm{y}}2\cos \left({10}^8\mathrm{t}-\frac{\mathrm{z}}{\sqrt{2}}\right)\mathrm{V}/\mathrm{m}$. The wavelength (in m) for the wave is ____________.