1
GATE EE 2010
+2
-0.6
A separately excited DC motor runs at 1500 rpm under no-load with 200 V applied to the armature. The field voltage is maintained at its rated value. The speed of the motor, when it delivers a torque of 5 Nm, is 1400 rpm as shown in the figure. The rotational losses and armature reaction are neglected. The armature resistance of the motor is,
A
$$2\;\Omega$$
B
$$3.4\;\Omega$$
C
$$4.4\;\Omega$$
D
$$7.7\;\Omega$$
2
GATE EE 2010
+1
-0.3
A single-phase transformer has a turns ratio of 1:2, and is connected to a purely resistive load as shown in the figure. The magnetizing current drawn is 1 A, and the secondary current is 1 A. If core losses and leakage reactances are neglected, the primary current is
A
1.41 A
B
2 A
C
2.24 A
D
3 A
3
GATE EE 2010
+2
-0.6
A balanced star-connected and purely resistive load is connected at the secondary of a star-delta transformer as shown in the figure. The line-to-line voltage rating of the transformer is 110 V/220 V. Neglecting the non-idealities of the transformer, the impedance 'Z' of the equivalent star-connected load, referred to the primary side of the transformer, is
A
(3 + j0) Ω
B
(0.866 − j0.5) Ω
C
(0.866 + j0.5) Ω
D
(1 + j0) Ω
4
GATE EE 2010
+1
-0.3
A balanced three-phase voltage is applied to a star-connected induction motor, the phase to neutral voltage being V. The stator resistance, rotor resistance referred to the stator, stator leakage reactance, rotor leakage reactance referred to the stator, and the magnetizing reactance are denoted by $$r_s,\;r_r,\;r_s,\;r_r\;and\;X_m$$, respectively. The magnitude of the starting current of the motor is given by
A
$$\frac V{\sqrt{\left(r_s+r_r\right)^2+\left(x_s+x_r\right)^2}}$$
B
$$\frac V{\sqrt{r_s^2+\left(r_s+X_m\right)^2}}$$
C
$$\frac V{\sqrt{\left(r_s+r_r\right)^2+\left(X_m+x_r\right)^2}}$$
D
$$\frac V{\sqrt{r_s^2+\left(X_m+x_r\right)^2}}$$
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