GATE 2019: Network Theory Quiz 1 (App update required to attempt this test)

In the network shown in the figure, all resistor s are identical with R = 300 Ω. The resistance R_ab (in Ω) of the network is ___________.

Let x (t) = αs (t) + s (–t) with s (t) = βe^–4t u (t), where u (t) is unit step function. If the bilateral Laplace transform of x (t) is

Then the value of β is _________

If then the initial and final values of f(t) are respectively

If R₁ = R₂ = R₄=R and R₃ = 1.1R in the bridge circuit shown in figure, then the reading in the ideal voltmeter connected between a and b is

Three capacitors C₁ C₂ and C₃ whose values are 10 µF. 5 µF. and 2 µF respectively, have breakdown voltages of 10V, 5V, and 2V respectively. For the interconnection shown below, the maximum safe voltage in Volts that can be applied across the combination, and the corresponding total charge
in µC stored in the effective capacitance across the terminals are respectively,