GATE EE 2015 Question Paper (07-Feb-2015) (Shift 1)

A parallel plate capacitor is partially filled with glass of dielectric constant 4.0 as shown below. The dielectric strengths of air and glass are 30 kV/cm and 300 kV/cm, respectively. The maximum voltage (in kilovolts), which can be applied across the capacitor without any breakdown, is ______.

The figure shows a digital circuit constructed using the negative edge triggered J-K flip-flops. Assume a starting state of Q₂Q₁Q₀ = 000. This state will repeat after how many cycles of the CLK.

f(A,B,C,D) = Π M (0,1,3,4,5,7,9,11,12,13,14,15) is a max-term representation of a Boolean function f(A,B,C,D) where A is the MSB and D is the LSB. The equivalent minimized representation of this function is

The op-amp shown in the figure has a finite gain A = 1000 and an infinite input resistance. A step-voltage Vᵢ = 1mV is applied at the input at time t = 0 as shown. Assuming that the operational amplifier is not saturated, the time constant (in millisecond) of the output voltage $V_0$ is

An 8-bit, unipolar successive approximation Register type ADC is used to convert 3.5 V to digital equivalent output. The reference voltage is +5V. The output of the ADC at the end of third clock pulse after start of conversion, is