GATE IN 2017 Question Paper (12-Feb-2017) (Shift 2)

The power delivered to a single phase inductive load is measure with a dynamometer type wattmeter using a potential transformer (PT) of turns ratio 200 : 1 and the current transformer (CT) of turns ratio 1 : 5. Assume both the transformers to be ideal. The power factor of the load is 0.8. If the wattmeter reading is 200 W, then the apparent power of the load in kVA is ______.

The unbalanced voltage of the Wheatstone bridge, shown in the figure, is measured using a digital voltmeter having infinite input impedance and a resolution of 0.1 mV. If R = 1000 Ω, then the minimum value of ΔR in Ω to create a detectable unbalanced voltage is ________.

In the AC bridge, shown in the figure R = 10³Ω and C = 10⁻⁷F. If the bridge is balanced at a frequency ω₀, the value of ω₀ in rad/s is-

The hot junction of a bare thermocouple, initially at room temperature (30°C), is suddenly dipped in molten metal at t = 0s. The cold junction is kept at room temperature. The thermocouple can be modelled as a first-order instrument with time constant of 1.0 s and static sensitivity of 10 μV°/°C. If the voltage, measured across the thermocouple indicates 10.0 mV at t = 1.0 s, then the temperature of the molten metal in °C is ________.

A resistance temperature detector (RTD) is connected to a circuit, as shown in the figure. Assume the opamp to be ideal. If V₀ = +2.0 V, then the value of x is _________.