The Rotor reactance/phase at standstill and running condition is ___________ and __________ respectivelly.

Question

Examoogle · Accepted Answer

Option D: 2\pi f L and 2\pi s f L

Explanation & Concepts:
The rotor reactance at standstill is given by the formula $2\pi f L$ and in running condition by $2\pi s f L$, where $s$ is the slip. Thus, the correct answer is D: $2\pi f L$ and $2\pi s f L$.

Working Principle: At standstill, the frequency of the rotor currents is equal to the supply frequency, leading to reactance represented as $2\pi f L$. When the rotor is running, the effective frequency of the rotor currents reduces based on slip, thus the reactance becomes $2\pi s f L$.

Key Formulas: $	ext{Rotor Reactance (Standstill)} = 2\pi f L$ — where $f$ is the supply frequency and $L$ is the inductance.; $	ext{Rotor Reactance (Running)} = 2\pi s f L$ — where $s$ is the slip.

Key Points: Rotor reactance at standstill equals $2\pi f L$ indicating maximum reactance when no motion occurs.; Rotor reactance in running condition is modified by the slip, reducing it to $2\pi s f L$.

Advantages: Understanding rotor reactance is crucial for analyzing motor performance.; Knowing the reactance values allows for better control and efficiency in induction motors.

Disadvantages: Neglecting slip effects can lead to underperformance in applications.; Complex calculations may be required for precise motor designs.

Applications: Used in the design and analysis of induction motors.; Industrial applications where motor efficiency is critical.

Additional Info: The standard values of reactance depend on the specific motor design and operating conditions.. Option A and B inaccurately represent the standstill and running reactance values.

Answer: D is correct — The rotor reactance during standstill is given by $2\pi f L$ and during running condition is given by $2\pi s f L$.

Exam Tip: Understand the relationship between slip and motor reactance for enhanced problem-solving in electrical engineering.

Examoogle · Answer

Option A: 𝐿 and 𝑠𝐿

Examoogle · Answer

Option B: 2\pi s f L and 2\pi s f L

Examoogle · Answer

Option C: 2\pi s f L and 2\pi f L

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