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

Consider the circuits shown in the figure. The magnitude of the ratio of the currents, i.e., |I₁/I₂|, is __________.

The circuit shown in figure is in series resonance at frequency f${}_C$ Hz. The magnitude of V${}_C$ in volts is _______V.

The output frequency of an LC tank oscillator circuit employing a capacitive sensor acting as a capacitor of the tank is 100 kHz. If the sensor capacitance increases by 10% the output frequency becomes ________ kHz.

The Seebeck coefficients, in μV°C, for copper, constantan and iron, with respect to platinum, are 1.9, -38.3 and 13.3, respectively. The magnitude of the thermo emf E developed in the circuit shown in the figure, in millivolts is ________ mV.

In the figure shown, R${}_T$ ­ represents a resistance temperature device (RTD), whose characteristic is given by R${}_T$ = R${}_O$ (1 + αT), here R${}_O$ = 100 Ω, α = 0.0039°C⁻¹ and T denotes the temperature in °C. Assuming the op-amp to be ideal, the value of V${}_O$ in volts when T = 100°C, is ________ V.