1
GATE EE 2015 Set 2
+1
-0.3
A 3-phase balanced load which has a power factor of 0.707 is connected to a balanced supply. The power consumed by the load is 5 kW. The power is measured by the two-wattmeter method. The readings of the two wattmeters are
A
3.94 kW and 1.06 kW
B
2.50 kW and 2.50 kW
C
5.00 kW and 0.00 kW
D
2.96 kW and 2.04 kW
2
GATE EE 2015 Set 2
Numerical
+2
-0
The coils of a wattmeter have resistances $$0.01$$ $$\Omega$$ and $$1000$$ $$\Omega$$; their inductances may be neglected. The wattmeter is connected as shown in the figure, to measure the power consumed by a load, which draws $$25$$ $$A$$ at power factor $$0.8$$. The voltage across the load terminals is $$30$$ $$V$$. The percentage error on the wattmeter reading is______________.
3
GATE EE 2015 Set 2
+1
-0.3
A 4-pole, separately excited, wave wound DC machine with negligible armature resistance is rated for 230 V and 5 kW at a speed of 1200 rpm. If the same armature coils are reconnected to form a lap winding, what is the rated voltage (in volts) and power (in kW) respectively at 1200 rpm of the reconnected machine if the field circuit is left unchanged?
A
230 and 5
B
115 and 5
C
115 and 2.5
D
230 and 2.5
4
GATE EE 2015 Set 2
Numerical
+1
-0
A shunt-connected DC motor operates at its rated terminal voltage. Its no-load speed is 200 radian/second. At its rated torque of 500 Nm, its speed is 180 radian/second. The motor is used to directly drive a load whose load torque TL depends on its rotational speed $$\omega_r$$ (in radian/second), such that $$T_L=2.78\times\omega_r$$. Neglecting rotational losses, the steady-state speed (in radian/second) of the motor, when it drives this load, is _______.
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