128. A voltage wave is i = 100 sin (ωt). Its average value calculated over one half cycle is
129. In the given figure 15.5 show a discrete time system consisting of a unit delay system, a multiplier and a summer, such that y(k) = x(k - 1) + 0.5 x(k). This system
130. An RLC series circuit has a variable inductance. The value of L for resonance conditions at fundamental frequency is 0.18 H. For resonance conditions at third harmonic frequency the value of inductance is
131. If function f(t) has an initial value f(0-) at t = 0-, the Laplace transform of is
132. 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
133. The stationary process has
134. If x1(t) = 2 sin p t + cos 4 p t and x2(t) = sin 5 p t + 3 sin 13 p t then
135. 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
136. Assertion (A): A sweep circuit operates by virtue of recurring transient phenomenon.Reason (R): Transients are always undesirable.
137. If f(t) = - f(- t) satisfies Drichlet conditions, then f(t) can be expanded in Fourier series containing
138. Who amongst the following kings defeated Harsha’s army on the bank of river Narmada?
139. 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]
140. Paralysis is caused by disorders connected with:?
141. The Laplace transform of f(t) is
142. If f(t) is in volts, then F(jω) is in
143. A voltage V(t) which is a Gaussian ergodic random process with a mean of zero and a variance of 4 volt2 is measured by a true rms meter. The reading will be
144. Assertion (A): If , the final value of i(t) = 10Reason (R): If , the initial value i(t) = 2
145. An ac circuit has an impedance of (3 + j6) ohm for fundamental. The impedance for fifth harmonic is
146. Which of following is recursive system?
147. In terms of signum function sgn(t), unit step function u(t) =