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1. A motor control apparatus comprising: an inverter configured to convert direct current (DC) power into alternating current (AC) power, and to output the AC power to a motor; and a controller configured to control the inverter in relation to driving the motor, wherein the controller is configured to: control the inverter to apply a first input voltage for estimating resistance of a stator of the motor before applying a second input voltage for estimating a position of a rotor of the motor, in response to a start-up of the driving of the motor, and control the driving of the motor based on the estimated resistance of the stator according to a result of applying the first input voltage, wherein: the first input voltage includes a third input voltage and a fourth input voltage, a maximum value of the third input voltage is different than a maximum value of the fourth input voltage, and angles of composite magnetic fluxes of the motor generated due to the third input voltage and the fourth input voltage are the same and wherein the controller is configured to control the inverter to apply the fourth input voltage when a time, which exceeds a threshold time, has passed from a point at which a response current of the third input voltage is 0 amperes.
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