1
GATE EE 2021
Numerical
+2
-0
An 8 pole, $50 \mathrm{~Hz}, 3$ phase, slip-ring induction motor has an effective rotor resistance of $0.08 \Omega$ per phase. Its speed at maximum torque is 650 rpm . The additional resistance per phase that must be inserted in the rotor to achieve maximum torque at start is $\_\_\_\_$ $\Omega$. (Round off to 2 decimal places). Negleet magnetizing eurrent and stater leakage impedanee. Consider equivalent eireuit parameters referred to stator.
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2
GATE EE 2018
Numerical
+2
-0
The equivalent circuit of a single phase induction motor is shown in the figure, where the
parameters are
R1 = R2' = Xl1 = Xl2' = 12 $$\Omega $$, Xm = 240 $$\Omega $$
and s is the slip. At no-load, the motor speed can be approximated to be the synchronous speed. The no-load lagging power factor of the motor is___________ (up to 3 decimal places).
R1 = R2' = Xl1 = Xl2' = 12 $$\Omega $$, Xm = 240 $$\Omega $$
and s is the slip. At no-load, the motor speed can be approximated to be the synchronous speed. The no-load lagging power factor of the motor is___________ (up to 3 decimal places).

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3
GATE EE 2017 Set 1
Numerical
+2
-0
A 375W, 230 V, 50 Hz capacitor start single-phase induction motor has the following constants
for the main and auxiliary windings (at starting): $$Z_m=\left(12.50\;+\;j15.75\right)\;\Omega$$ (main winding),
$$Z_a=\left(24.50\;+\;j12.75\right)\;\Omega$$(auxiliary winding). Neglecting the magnetizing branch the value of the
capacitance (in µF ) to be added in series with the auxiliary winding to obtain maximum torque
at starting is _______.
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4
GATE EE 2017 Set 2
Numerical
+2
-0
A star-connected, 12.5 kW, 208 V (line), 3-phase, 60 Hz squirrel cage induction motor has
following equivalent circuit parameters per phase referred to the stator.
R1 = 0.3 Ω, R2 = 0.3 Ω, X1 = 0.41 Ω, X2 = 0.41 Ω. Neglect shunt branch in the equivalent circuit.
The starting current (in Ampere) for this motor when connected to an 80 V (line), 20 Hz, 3-
phase AC source is __________.
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