ECE :: Signals and Systems
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A voltage v = 5 + 50 sin ωt/ + 5 sin 5 &omegat is applied to a pure capacitor of capacitance 1 ωF. If f/= 314 rad/sec, current is
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The stationary process has
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If x1(t) = 2 sin pt + cos 4 pt and x2(t) = sin 5 pt + 3 sin 13 pt then
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An ac network has a power factor of 0.8 leading if the applied wave is of fundamental frequency. If the applied wave contains third and fifth harmonics, the overall power factor will be
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Assertion (A): A sweep circuit operates by virtue of recurring transient phenomenon.
Reason (R): Transients are always undesirable.
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If f(t) = - f(- t) satisfies Drichlet conditions, then f(t) can be expanded in Fourier series containing
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The joint probability function of two discrete random variable X and Y is given by
x = 0, 2, y = 2, 3 then E(y) is -
The joint probability function of two discrete random variable X and Y is given by
x = 0, 2, y = 2, 3 variance σ2 will be
[Hint: σ2 = E(X2) - μ2 ⇒ E(X2) - (E(X))2] -
A probability density function is given by p(x) = Ke-x2/2 for -∞ < x < ∞ , The value of K should be
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where f(x) is probability density function.
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