GATE IN 2015 Question Paper (01-Feb-2015) (Shift 2)

In the circuit shown in the figure, it is found the V${}_{BE}$ = 0.7 V and V${}_E$ = 0.V. If β${}_{DC}$ = 99 for the transistor, then the value of R${}_B$ is _______ kΩ

An opamp has ideal characteristics except that its open loop gain is given by the expression A${}_V$ (s) = 10⁴ / (1 + 10${}^{\text{–}3}$ s). This op-amp is used in the circuit shown in the figure. The 3-dB bandwidth of the circuit, in rad/s, is

In the circuit shown, the voltage source V(t) = 15 + 0.1 sin (100t) volts. The PMOS transistor is biased such that it is in saturation with its gate-source capacitance being 4 nF and its transconductance at the operating point being 1 mA/V. Other parasitic impedances of the MOSFET may be ignored. An external capacitor of capacitance 2 nF is connected across the PMOS transistor as shown. The input impedance in mega ohm as seen by the voltage source is__________ MΩ.

An ADC is interfaced with a microprocessor as shown in the figure. All signals have been indicated with typical notations. Acquisition of one new sample of the analog input signal by the microprocessor involves

The number of clock cycles for the duration of an input pulse is counted using a cascade of N decade counters (DC 1 to DC N) as shown in the figure. If the clock frequency in mega hertz is f, the resolution and range of measurement of input pulse width, both in μs, are respectively,