GATE EC 2010 Question Paper (14-Feb-2010) (Shift 1)

For an angle modulated signal

X(t) = 6 cos [2π × 10 ⁶t + 2 sin (8000 πt) + 4 cos (8000 πt)] V

The average power of x(t) is:

If the scattering matrix [S] of a two port network is

≤ft[ ] = ≤ft[ {*20c 0.10^&0.990^\\ 0.990^&0.190^} ]

Then the network is

A transmission line has a characteristic impedance of 50 Ω and a resistance of 0.1 Ω/m. If the line is distortionless, the attenuation constant (in Np/m) is

Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter matched to this pulse is

The electric field component of a time harmonic plane EM wave traveling in a nonmagnetic lossless dielectric medium has an amplitude of 1 V/m. If the relative permittivity of the medium is 4, the magnitude of the time-average power density vector (in W/m²) is