GATE 2017-2018 :: GATE Instrumentation
- With initial condition x(1)  0.5 , the solution of the differential equation, t dx/dt + x = t is
- Two independent random variables X and Y are uniformly distributed in the interval [“1, 1]. The probability that max[X, Y] is less than 1/2 is
- The unilateral Laplace transform of f (t) is 1/(s2 + s + 1). The unilateral Laplace transform of t f (t) is
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Given f(z) = 1(z + 1) - 2/(z + 3). If C is a counterclockwise path in the z-plane such that |z + 1|, the value of
is - The average power delivered to an impedance (4 - j3)Ω by a current 5cos(100 πt + 100) A is
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In the circuit shown below, the current through the inductor is
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In the following figure, C1 and C2 are ideal capacitors. C1 has been charged to 12 V before the ideal switch S is closed at t = 0. The current i(t) for all t is
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The impedance looking into nodes 1 and 2 in the given circuit is
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The i-v characteristics of the diode in the circuit given below are
The current in the circuit is
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